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Americans Are Very Vocal About Their Attempts to Improve Personal $\beta$

Question 162

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Americans are very vocal about their attempts to improve personal well-being by "eating right and exercising more." One desirable dietary change is to reduce the intake of red meat and to substitute poultry or fish. A medical team from Florida tracked beef and chicken consumption (in annual pounds per person) and found the consumption of beef declining and the consumption of chicken increasing from 1970 through the year 2000. A summary of their data is shown in the table.
$Americans are very vocal about their attempts to improve personal well-being by eating right and exercising more. One desirable dietary change is to reduce the intake of red meat and to substitute poultry or fish. A medical team from Florida tracked beef and chicken consumption (in annual pounds per person) and found the consumption of beef declining and the consumption of chicken increasing from 1970 through the year 2000. A summary of their data is shown in the table. Consider fitting the following model, which allows for simultaneously fitting two simple linear regression lines: E(y) = \beta 0+ \beta 1x1 + \beta 2x2+ \beta 3x1x2 where Minitab printouts using this model are provided here. Regression Analysis The regression equation is Y = -3020 + 4897 X1 + 1.55 X2 - 2.46 X1X2 Analysis of Variance Predicted Value How well does the model fit? Use any relevant statistics and diagnostic tools from the printout to answer this question. Test statistic: F = ______________ p-value: ______________ Conclude: The model ______________ significant information for the prediction of y. Write the equations of the two straight lines that describe the trend in consumption over the period of 30 years for beef and for chicken. For chicken: = _______ + _______ For beef: = _______ + _______ Use the prediction equation to find a point estimate of the average per-person beef consumption in 2005. = ______________ Compare this value with the value labeled Fit in the printout. ______________ Use the printout to find a 95% confidence interval for the average per-person beef consumption in 2005. The confidence interval is: CI = ______________ Enter (n1, n2) What is the 95% prediction interval for the per-person beef consumption in 2005? The 95% prediction interval is: PI = ______________ Enter (n1, n2) Is there any problem with the validity of the 95% confidence level for these intervals? __________________________________________$ Consider fitting the following model, which allows for simultaneously fitting two simple linear regression lines: E(y) = $\beta$ ₀+ $\beta$ ₁x₁ + $\beta$ ₂x₂+ $\beta$ ₃x₁x₂where $Americans are very vocal about their attempts to improve personal well-being by eating right and exercising more. One desirable dietary change is to reduce the intake of red meat and to substitute poultry or fish. A medical team from Florida tracked beef and chicken consumption (in annual pounds per person) and found the consumption of beef declining and the consumption of chicken increasing from 1970 through the year 2000. A summary of their data is shown in the table. Consider fitting the following model, which allows for simultaneously fitting two simple linear regression lines: E(y) = \beta 0+ \beta 1x1 + \beta 2x2+ \beta 3x1x2 where Minitab printouts using this model are provided here. Regression Analysis The regression equation is Y = -3020 + 4897 X1 + 1.55 X2 - 2.46 X1X2 Analysis of Variance Predicted Value How well does the model fit? Use any relevant statistics and diagnostic tools from the printout to answer this question. Test statistic: F = ______________ p-value: ______________ Conclude: The model ______________ significant information for the prediction of y. Write the equations of the two straight lines that describe the trend in consumption over the period of 30 years for beef and for chicken. For chicken: = _______ + _______ For beef: = _______ + _______ Use the prediction equation to find a point estimate of the average per-person beef consumption in 2005. = ______________ Compare this value with the value labeled Fit in the printout. ______________ Use the printout to find a 95% confidence interval for the average per-person beef consumption in 2005. The confidence interval is: CI = ______________ Enter (n1, n2) What is the 95% prediction interval for the per-person beef consumption in 2005? The 95% prediction interval is: PI = ______________ Enter (n1, n2) Is there any problem with the validity of the 95% confidence level for these intervals? __________________________________________$ Minitab printouts using this model are provided here.
Regression Analysis
The regression equation is
Y = -3020 + 4897 X1 + 1.55 X2 - 2.46 X1X2
$Americans are very vocal about their attempts to improve personal well-being by eating right and exercising more. One desirable dietary change is to reduce the intake of red meat and to substitute poultry or fish. A medical team from Florida tracked beef and chicken consumption (in annual pounds per person) and found the consumption of beef declining and the consumption of chicken increasing from 1970 through the year 2000. A summary of their data is shown in the table. Consider fitting the following model, which allows for simultaneously fitting two simple linear regression lines: E(y) = \beta 0+ \beta 1x1 + \beta 2x2+ \beta 3x1x2 where Minitab printouts using this model are provided here. Regression Analysis The regression equation is Y = -3020 + 4897 X1 + 1.55 X2 - 2.46 X1X2 Analysis of Variance Predicted Value How well does the model fit? Use any relevant statistics and diagnostic tools from the printout to answer this question. Test statistic: F = ______________ p-value: ______________ Conclude: The model ______________ significant information for the prediction of y. Write the equations of the two straight lines that describe the trend in consumption over the period of 30 years for beef and for chicken. For chicken: = _______ + _______ For beef: = _______ + _______ Use the prediction equation to find a point estimate of the average per-person beef consumption in 2005. = ______________ Compare this value with the value labeled Fit in the printout. ______________ Use the printout to find a 95% confidence interval for the average per-person beef consumption in 2005. The confidence interval is: CI = ______________ Enter (n1, n2) What is the 95% prediction interval for the per-person beef consumption in 2005? The 95% prediction interval is: PI = ______________ Enter (n1, n2) Is there any problem with the validity of the 95% confidence level for these intervals? __________________________________________$ $Americans are very vocal about their attempts to improve personal well-being by eating right and exercising more. One desirable dietary change is to reduce the intake of red meat and to substitute poultry or fish. A medical team from Florida tracked beef and chicken consumption (in annual pounds per person) and found the consumption of beef declining and the consumption of chicken increasing from 1970 through the year 2000. A summary of their data is shown in the table. Consider fitting the following model, which allows for simultaneously fitting two simple linear regression lines: E(y) = \beta 0+ \beta 1x1 + \beta 2x2+ \beta 3x1x2 where Minitab printouts using this model are provided here. Regression Analysis The regression equation is Y = -3020 + 4897 X1 + 1.55 X2 - 2.46 X1X2 Analysis of Variance Predicted Value How well does the model fit? Use any relevant statistics and diagnostic tools from the printout to answer this question. Test statistic: F = ______________ p-value: ______________ Conclude: The model ______________ significant information for the prediction of y. Write the equations of the two straight lines that describe the trend in consumption over the period of 30 years for beef and for chicken. For chicken: = _______ + _______ For beef: = _______ + _______ Use the prediction equation to find a point estimate of the average per-person beef consumption in 2005. = ______________ Compare this value with the value labeled Fit in the printout. ______________ Use the printout to find a 95% confidence interval for the average per-person beef consumption in 2005. The confidence interval is: CI = ______________ Enter (n1, n2) What is the 95% prediction interval for the per-person beef consumption in 2005? The 95% prediction interval is: PI = ______________ Enter (n1, n2) Is there any problem with the validity of the 95% confidence level for these intervals? __________________________________________$ Analysis of Variance
$Americans are very vocal about their attempts to improve personal well-being by eating right and exercising more. One desirable dietary change is to reduce the intake of red meat and to substitute poultry or fish. A medical team from Florida tracked beef and chicken consumption (in annual pounds per person) and found the consumption of beef declining and the consumption of chicken increasing from 1970 through the year 2000. A summary of their data is shown in the table. Consider fitting the following model, which allows for simultaneously fitting two simple linear regression lines: E(y) = \beta 0+ \beta 1x1 + \beta 2x2+ \beta 3x1x2 where Minitab printouts using this model are provided here. Regression Analysis The regression equation is Y = -3020 + 4897 X1 + 1.55 X2 - 2.46 X1X2 Analysis of Variance Predicted Value How well does the model fit? Use any relevant statistics and diagnostic tools from the printout to answer this question. Test statistic: F = ______________ p-value: ______________ Conclude: The model ______________ significant information for the prediction of y. Write the equations of the two straight lines that describe the trend in consumption over the period of 30 years for beef and for chicken. For chicken: = _______ + _______ For beef: = _______ + _______ Use the prediction equation to find a point estimate of the average per-person beef consumption in 2005. = ______________ Compare this value with the value labeled Fit in the printout. ______________ Use the printout to find a 95% confidence interval for the average per-person beef consumption in 2005. The confidence interval is: CI = ______________ Enter (n1, n2) What is the 95% prediction interval for the per-person beef consumption in 2005? The 95% prediction interval is: PI = ______________ Enter (n1, n2) Is there any problem with the validity of the 95% confidence level for these intervals? __________________________________________$ $Americans are very vocal about their attempts to improve personal well-being by eating right and exercising more. One desirable dietary change is to reduce the intake of red meat and to substitute poultry or fish. A medical team from Florida tracked beef and chicken consumption (in annual pounds per person) and found the consumption of beef declining and the consumption of chicken increasing from 1970 through the year 2000. A summary of their data is shown in the table. Consider fitting the following model, which allows for simultaneously fitting two simple linear regression lines: E(y) = \beta 0+ \beta 1x1 + \beta 2x2+ \beta 3x1x2 where Minitab printouts using this model are provided here. Regression Analysis The regression equation is Y = -3020 + 4897 X1 + 1.55 X2 - 2.46 X1X2 Analysis of Variance Predicted Value How well does the model fit? Use any relevant statistics and diagnostic tools from the printout to answer this question. Test statistic: F = ______________ p-value: ______________ Conclude: The model ______________ significant information for the prediction of y. Write the equations of the two straight lines that describe the trend in consumption over the period of 30 years for beef and for chicken. For chicken: = _______ + _______ For beef: = _______ + _______ Use the prediction equation to find a point estimate of the average per-person beef consumption in 2005. = ______________ Compare this value with the value labeled Fit in the printout. ______________ Use the printout to find a 95% confidence interval for the average per-person beef consumption in 2005. The confidence interval is: CI = ______________ Enter (n1, n2) What is the 95% prediction interval for the per-person beef consumption in 2005? The 95% prediction interval is: PI = ______________ Enter (n1, n2) Is there any problem with the validity of the 95% confidence level for these intervals? __________________________________________$ Predicted Value
$Americans are very vocal about their attempts to improve personal well-being by eating right and exercising more. One desirable dietary change is to reduce the intake of red meat and to substitute poultry or fish. A medical team from Florida tracked beef and chicken consumption (in annual pounds per person) and found the consumption of beef declining and the consumption of chicken increasing from 1970 through the year 2000. A summary of their data is shown in the table. Consider fitting the following model, which allows for simultaneously fitting two simple linear regression lines: E(y) = \beta 0+ \beta 1x1 + \beta 2x2+ \beta 3x1x2 where Minitab printouts using this model are provided here. Regression Analysis The regression equation is Y = -3020 + 4897 X1 + 1.55 X2 - 2.46 X1X2 Analysis of Variance Predicted Value How well does the model fit? Use any relevant statistics and diagnostic tools from the printout to answer this question. Test statistic: F = ______________ p-value: ______________ Conclude: The model ______________ significant information for the prediction of y. Write the equations of the two straight lines that describe the trend in consumption over the period of 30 years for beef and for chicken. For chicken: = _______ + _______ For beef: = _______ + _______ Use the prediction equation to find a point estimate of the average per-person beef consumption in 2005. = ______________ Compare this value with the value labeled Fit in the printout. ______________ Use the printout to find a 95% confidence interval for the average per-person beef consumption in 2005. The confidence interval is: CI = ______________ Enter (n1, n2) What is the 95% prediction interval for the per-person beef consumption in 2005? The 95% prediction interval is: PI = ______________ Enter (n1, n2) Is there any problem with the validity of the 95% confidence level for these intervals? __________________________________________$ $Americans are very vocal about their attempts to improve personal well-being by eating right and exercising more. One desirable dietary change is to reduce the intake of red meat and to substitute poultry or fish. A medical team from Florida tracked beef and chicken consumption (in annual pounds per person) and found the consumption of beef declining and the consumption of chicken increasing from 1970 through the year 2000. A summary of their data is shown in the table. Consider fitting the following model, which allows for simultaneously fitting two simple linear regression lines: E(y) = \beta 0+ \beta 1x1 + \beta 2x2+ \beta 3x1x2 where Minitab printouts using this model are provided here. Regression Analysis The regression equation is Y = -3020 + 4897 X1 + 1.55 X2 - 2.46 X1X2 Analysis of Variance Predicted Value How well does the model fit? Use any relevant statistics and diagnostic tools from the printout to answer this question. Test statistic: F = ______________ p-value: ______________ Conclude: The model ______________ significant information for the prediction of y. Write the equations of the two straight lines that describe the trend in consumption over the period of 30 years for beef and for chicken. For chicken: = _______ + _______ For beef: = _______ + _______ Use the prediction equation to find a point estimate of the average per-person beef consumption in 2005. = ______________ Compare this value with the value labeled Fit in the printout. ______________ Use the printout to find a 95% confidence interval for the average per-person beef consumption in 2005. The confidence interval is: CI = ______________ Enter (n1, n2) What is the 95% prediction interval for the per-person beef consumption in 2005? The 95% prediction interval is: PI = ______________ Enter (n1, n2) Is there any problem with the validity of the 95% confidence level for these intervals? __________________________________________$ $Americans are very vocal about their attempts to improve personal well-being by eating right and exercising more. One desirable dietary change is to reduce the intake of red meat and to substitute poultry or fish. A medical team from Florida tracked beef and chicken consumption (in annual pounds per person) and found the consumption of beef declining and the consumption of chicken increasing from 1970 through the year 2000. A summary of their data is shown in the table. Consider fitting the following model, which allows for simultaneously fitting two simple linear regression lines: E(y) = \beta 0+ \beta 1x1 + \beta 2x2+ \beta 3x1x2 where Minitab printouts using this model are provided here. Regression Analysis The regression equation is Y = -3020 + 4897 X1 + 1.55 X2 - 2.46 X1X2 Analysis of Variance Predicted Value How well does the model fit? Use any relevant statistics and diagnostic tools from the printout to answer this question. Test statistic: F = ______________ p-value: ______________ Conclude: The model ______________ significant information for the prediction of y. Write the equations of the two straight lines that describe the trend in consumption over the period of 30 years for beef and for chicken. For chicken: = _______ + _______ For beef: = _______ + _______ Use the prediction equation to find a point estimate of the average per-person beef consumption in 2005. = ______________ Compare this value with the value labeled Fit in the printout. ______________ Use the printout to find a 95% confidence interval for the average per-person beef consumption in 2005. The confidence interval is: CI = ______________ Enter (n1, n2) What is the 95% prediction interval for the per-person beef consumption in 2005? The 95% prediction interval is: PI = ______________ Enter (n1, n2) Is there any problem with the validity of the 95% confidence level for these intervals? __________________________________________$ How well does the model fit? Use any relevant statistics and diagnostic tools from the printout to answer this question.
Test statistic:
F = ______________
p-value: ______________
Conclude:
The model ______________ significant information for the prediction of y.
Write the equations of the two straight lines that describe the trend in consumption over the period of 30 years for beef and for chicken.
For chicken: $Americans are very vocal about their attempts to improve personal well-being by eating right and exercising more. One desirable dietary change is to reduce the intake of red meat and to substitute poultry or fish. A medical team from Florida tracked beef and chicken consumption (in annual pounds per person) and found the consumption of beef declining and the consumption of chicken increasing from 1970 through the year 2000. A summary of their data is shown in the table. Consider fitting the following model, which allows for simultaneously fitting two simple linear regression lines: E(y) = \beta 0+ \beta 1x1 + \beta 2x2+ \beta 3x1x2 where Minitab printouts using this model are provided here. Regression Analysis The regression equation is Y = -3020 + 4897 X1 + 1.55 X2 - 2.46 X1X2 Analysis of Variance Predicted Value How well does the model fit? Use any relevant statistics and diagnostic tools from the printout to answer this question. Test statistic: F = ______________ p-value: ______________ Conclude: The model ______________ significant information for the prediction of y. Write the equations of the two straight lines that describe the trend in consumption over the period of 30 years for beef and for chicken. For chicken: = _______ + _______ For beef: = _______ + _______ Use the prediction equation to find a point estimate of the average per-person beef consumption in 2005. = ______________ Compare this value with the value labeled Fit in the printout. ______________ Use the printout to find a 95% confidence interval for the average per-person beef consumption in 2005. The confidence interval is: CI = ______________ Enter (n1, n2) What is the 95% prediction interval for the per-person beef consumption in 2005? The 95% prediction interval is: PI = ______________ Enter (n1, n2) Is there any problem with the validity of the 95% confidence level for these intervals? __________________________________________$ = _______ + _______ $Americans are very vocal about their attempts to improve personal well-being by eating right and exercising more. One desirable dietary change is to reduce the intake of red meat and to substitute poultry or fish. A medical team from Florida tracked beef and chicken consumption (in annual pounds per person) and found the consumption of beef declining and the consumption of chicken increasing from 1970 through the year 2000. A summary of their data is shown in the table. Consider fitting the following model, which allows for simultaneously fitting two simple linear regression lines: E(y) = \beta 0+ \beta 1x1 + \beta 2x2+ \beta 3x1x2 where Minitab printouts using this model are provided here. Regression Analysis The regression equation is Y = -3020 + 4897 X1 + 1.55 X2 - 2.46 X1X2 Analysis of Variance Predicted Value How well does the model fit? Use any relevant statistics and diagnostic tools from the printout to answer this question. Test statistic: F = ______________ p-value: ______________ Conclude: The model ______________ significant information for the prediction of y. Write the equations of the two straight lines that describe the trend in consumption over the period of 30 years for beef and for chicken. For chicken: = _______ + _______ For beef: = _______ + _______ Use the prediction equation to find a point estimate of the average per-person beef consumption in 2005. = ______________ Compare this value with the value labeled Fit in the printout. ______________ Use the printout to find a 95% confidence interval for the average per-person beef consumption in 2005. The confidence interval is: CI = ______________ Enter (n1, n2) What is the 95% prediction interval for the per-person beef consumption in 2005? The 95% prediction interval is: PI = ______________ Enter (n1, n2) Is there any problem with the validity of the 95% confidence level for these intervals? __________________________________________$ For beef: $Americans are very vocal about their attempts to improve personal well-being by eating right and exercising more. One desirable dietary change is to reduce the intake of red meat and to substitute poultry or fish. A medical team from Florida tracked beef and chicken consumption (in annual pounds per person) and found the consumption of beef declining and the consumption of chicken increasing from 1970 through the year 2000. A summary of their data is shown in the table. Consider fitting the following model, which allows for simultaneously fitting two simple linear regression lines: E(y) = \beta 0+ \beta 1x1 + \beta 2x2+ \beta 3x1x2 where Minitab printouts using this model are provided here. Regression Analysis The regression equation is Y = -3020 + 4897 X1 + 1.55 X2 - 2.46 X1X2 Analysis of Variance Predicted Value How well does the model fit? Use any relevant statistics and diagnostic tools from the printout to answer this question. Test statistic: F = ______________ p-value: ______________ Conclude: The model ______________ significant information for the prediction of y. Write the equations of the two straight lines that describe the trend in consumption over the period of 30 years for beef and for chicken. For chicken: = _______ + _______ For beef: = _______ + _______ Use the prediction equation to find a point estimate of the average per-person beef consumption in 2005. = ______________ Compare this value with the value labeled Fit in the printout. ______________ Use the printout to find a 95% confidence interval for the average per-person beef consumption in 2005. The confidence interval is: CI = ______________ Enter (n1, n2) What is the 95% prediction interval for the per-person beef consumption in 2005? The 95% prediction interval is: PI = ______________ Enter (n1, n2) Is there any problem with the validity of the 95% confidence level for these intervals? __________________________________________$ = _______ + _______ $Americans are very vocal about their attempts to improve personal well-being by eating right and exercising more. One desirable dietary change is to reduce the intake of red meat and to substitute poultry or fish. A medical team from Florida tracked beef and chicken consumption (in annual pounds per person) and found the consumption of beef declining and the consumption of chicken increasing from 1970 through the year 2000. A summary of their data is shown in the table. Consider fitting the following model, which allows for simultaneously fitting two simple linear regression lines: E(y) = \beta 0+ \beta 1x1 + \beta 2x2+ \beta 3x1x2 where Minitab printouts using this model are provided here. Regression Analysis The regression equation is Y = -3020 + 4897 X1 + 1.55 X2 - 2.46 X1X2 Analysis of Variance Predicted Value How well does the model fit? Use any relevant statistics and diagnostic tools from the printout to answer this question. Test statistic: F = ______________ p-value: ______________ Conclude: The model ______________ significant information for the prediction of y. Write the equations of the two straight lines that describe the trend in consumption over the period of 30 years for beef and for chicken. For chicken: = _______ + _______ For beef: = _______ + _______ Use the prediction equation to find a point estimate of the average per-person beef consumption in 2005. = ______________ Compare this value with the value labeled Fit in the printout. ______________ Use the printout to find a 95% confidence interval for the average per-person beef consumption in 2005. The confidence interval is: CI = ______________ Enter (n1, n2) What is the 95% prediction interval for the per-person beef consumption in 2005? The 95% prediction interval is: PI = ______________ Enter (n1, n2) Is there any problem with the validity of the 95% confidence level for these intervals? __________________________________________$ Use the prediction equation to find a point estimate of the average per-person beef consumption in 2005. $Americans are very vocal about their attempts to improve personal well-being by eating right and exercising more. One desirable dietary change is to reduce the intake of red meat and to substitute poultry or fish. A medical team from Florida tracked beef and chicken consumption (in annual pounds per person) and found the consumption of beef declining and the consumption of chicken increasing from 1970 through the year 2000. A summary of their data is shown in the table. Consider fitting the following model, which allows for simultaneously fitting two simple linear regression lines: E(y) = \beta 0+ \beta 1x1 + \beta 2x2+ \beta 3x1x2 where Minitab printouts using this model are provided here. Regression Analysis The regression equation is Y = -3020 + 4897 X1 + 1.55 X2 - 2.46 X1X2 Analysis of Variance Predicted Value How well does the model fit? Use any relevant statistics and diagnostic tools from the printout to answer this question. Test statistic: F = ______________ p-value: ______________ Conclude: The model ______________ significant information for the prediction of y. Write the equations of the two straight lines that describe the trend in consumption over the period of 30 years for beef and for chicken. For chicken: = _______ + _______ For beef: = _______ + _______ Use the prediction equation to find a point estimate of the average per-person beef consumption in 2005. = ______________ Compare this value with the value labeled Fit in the printout. ______________ Use the printout to find a 95% confidence interval for the average per-person beef consumption in 2005. The confidence interval is: CI = ______________ Enter (n1, n2) What is the 95% prediction interval for the per-person beef consumption in 2005? The 95% prediction interval is: PI = ______________ Enter (n1, n2) Is there any problem with the validity of the 95% confidence level for these intervals? __________________________________________$ = ______________
Compare this value with the value labeled "Fit" in the printout.
______________
Use the printout to find a 95% confidence interval for the average per-person beef consumption in 2005.
The confidence interval is:
CI = ______________ Enter (n1, n2)
What is the 95% prediction interval for the per-person beef consumption in 2005?
The 95% prediction interval is:
PI = ______________ Enter (n1, n2)
Is there any problem with the validity of the 95% confidence level for these intervals?
__________________________________________