Exam 14: Inference of the Least-Squares Regression Model

The data below are the scores of 10 randomly selected students from a statistics class and the number of hours they slept the night before the exam. Construct a 95% prediction interval for y, the score on the final exam, given x = 7 hours, = 5.044x + 56.11 and

Construct a 95% confidence interval about the mean value of y, given x = -3.5, = 2.097x - 0.552 and

Construct a 95% confidence interval about the slope of the true least-squares regression line, for the data below, given that = -2.5x.

A company keeps extensive records on its new salespeople on the premise that sales should increase with experience. A random sample of seven new salespeople produced the data on experience and sales shown in the table. Construct a 90% confidence interval about the mean value of y when x = 5 months.

In an area of Russia, records were kept on the relationship between the rainfall (in inches) and the yield of wheat (bushels per acre). Construct a 95% confidence interval about the mean value of y, the yield, given inches, and

Find the standard error of estimate, , for the data below, given that

Find the standard error of estimate, , for the data below, given that

Test the claim, at the ? = 0.10 level of significance, that a linear relation exists between the two variables, for the data below, given that