# Question

In the early 1990s researchers at The Ohio State University studied consumer ratings of six fast-food restaurants: Borden Burger, Hardee’s, Burger King, McDonald’s, Wendy’s, and White Castle. Each of 406 randomly selected individuals gave each restaurant a rating of 1, 2, 3, 4, 5, or 6 on the basis of taste, and then ranked the restaurants from 1 through 6 on the basis of overall preference. In each case, 1 is the best rating and 6 the worst. The mean ratings given by the 406 individuals are given in the following table:

If we use simple linear regression to relate the dependent variable mean preference to the independent variable mean taste, we find that the least squares point estimate of β1 is b1 = 1.2731, and we find that the standard error of this point estimate is sb1 = .1025. (1) Interpret b1, and (2) find and interpret a 95 percent confidence interval for β1.

If we use simple linear regression to relate the dependent variable mean preference to the independent variable mean taste, we find that the least squares point estimate of β1 is b1 = 1.2731, and we find that the standard error of this point estimate is sb1 = .1025. (1) Interpret b1, and (2) find and interpret a 95 percent confidence interval for β1.

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