A statistician wanted to determine if the demographic variables of age, education, and income influence the number of hours of television watched per week. A random sample of 25 adults was selected to estimate the multiple regression model: where y is the number of hours of television watched last week, x1 is the age (in years), x2 is the number of years of education, and x3 is income (in $1,000). The computer output is shown below. Test the overall validity of the model at the 5% significance level.
What is the test statistic?
F = ______________
______________ Conclude that the model ______________ valid at the 5% level.
Is there sufficient evidence at the 1% significance level to indicate that hours of television watched and age are linearly related?
What is test statistic?
t = ______________
______________ Conclude that there ______________ sufficient evidence at the 1% significance level to indicate that hours of television watched and age are linearly related.
Is there sufficient evidence at the 1% significance level to indicate that hours of television watched and education are negatively linearly related?
What is the test statistic?
t = ______________
______________ Conclude that there ______________ sufficient evidence at the 1% significance level to indicate that hours of television watched and education are negatively linearly related.
What is the coefficient of determination? = ______________
Interpret this value for :
________________________________________________________
Interpret :
________________________________________________________
Interpret :
________________________________________________________
Interpret :
________________________________________________________

Question

A statistician wanted to determine if the demographic variables of age, education, and income influence the number of hours of television watched per week. A random sample of 25 adults was selected to estimate the multiple regression model:  where y is the number of hours of television watched last week, x1 is the age (in years), x2 is the number of years of education, and x3 is income (in $1,000). The computer output is shown below.  Test the overall validity of the model at the 5% significance level.
What is the test statistic?
F = ______________
______________  Conclude that the model ______________ valid at the 5% level.
Is there sufficient evidence at the 1% significance level to indicate that hours of television watched and age are linearly related?
What is test statistic?
t = ______________
______________  Conclude that there ______________ sufficient evidence at the 1% significance level to indicate that hours of television watched and age are linearly related.
Is there sufficient evidence at the 1% significance level to indicate that hours of television watched and education are negatively linearly related?
What is the test statistic?
t = ______________
______________  Conclude that there ______________ sufficient evidence at the 1% significance level to indicate that hours of television watched and education are negatively linearly related.
What is the coefficient of determination?  = ______________
Interpret this value for  :
________________________________________________________
Interpret  :
________________________________________________________
Interpret  :
________________________________________________________
Interpret  :
________________________________________________________

Quizplus · Accepted Answer

The Answer of A statistician wanted to determine if the demographic variables of age, education, and income influence the number of hours of television watched per week. A random sample of 25 adults was selected to estimate the multiple regression model:  where y is the number of hours of television watched last week, x1 is the age (in years), x2 is the number of years of education, and x3 is income (in $1,000). The computer output is shown below.  Test the overall validity of the model at the 5% significance level.
What is the test statistic?
F = ______________
______________  Conclude that the model ______________ valid at the 5% level.
Is there sufficient evidence at the 1% significance level to indicate that hours of television watched and age are linearly related?
What is test statistic?
t = ______________
______________  Conclude that there ______________ sufficient evidence at the 1% significance level to indicate that hours of television watched and age are linearly related.
Is there sufficient evidence at the 1% significance level to indicate that hours of television watched and education are negatively linearly related?
What is the test statistic?
t = ______________
______________  Conclude that there ______________ sufficient evidence at the 1% significance level to indicate that hours of television watched and education are negatively linearly related.
What is the coefficient of determination?  = ______________
Interpret this value for  :
________________________________________________________
Interpret  :
________________________________________________________
Interpret  :
________________________________________________________
Interpret  :
________________________________________________________

A Statistician Wanted to Determine If the Demographic Variables of Age