According to official data of "http://www.census.org/" population of Detroit, MI, is decreasing. Use the data from the table below for the population of Detroit to answer the following questions. Find the predicted value for the population of Detroit in the year 2000 using the regression line. If the known population of Detroit in the year 2000 is about 951 thousand of people, what can you say about your predicted value? Why is it risky to use the least squares line to make the prediction for the next year?
A) Predicted value is 820 thousand of people.It is noticeably greater than the real value for this year.The least squares regression line should not be used to make predictions outside the range of the x values because there is no evidence that the linear pattern continues outside this range.
B) Predicted value is 853 thousand of people.It is noticeably greater than the real value for this year.The least squares regression line should not be used to make predictions outside the range of the x values because a point outside the range will greatly influence the regression line and the resulting parameters will change.
C) Predicted value is 853 thousand of people.It is noticeably greater than the real value for this year.The least squares regression line should not be used to make predictions outside the range of the x values because there is no evidence that the linear pattern continues outside this range.
D) Predicted value is 820 thousand of people.It is noticeably greater than the real value for this year.The least squares regression line should not be used to make predictions outside the range of the x values because a point outside the range will greatly influence the regression line and the resulting parameters will change.
Correct Answer:
Verified
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