Question

The following data represent the commute time​ (in minutes) x and a score on a​ well-being survey y. The equation of the​ least-squares regression line is ModifyingAbove y with caret equals negative 0.0487 x plus 70.1284y=−0.0487x+70.1284 and the standard error of the estimate is 0.52940.5294. Complete parts ​(a) through ​(e) below.    x 2525 3535 4545 5555 7070 9292 125125    y 69.069.0 68.668.6 67.567.5 67.367.3 66.566.5 66.666.6 63.663.6 ​(a) Predict the mean​ well-being index composite score of all individuals whose commute time is 4040 minutes. ModifyingAbove y with caret equalsy=nothing ​(Round to two decimal places as​ needed.)

Answer 1

Given, the least-squares regression line: .

Now, for x = 40, mean well-being index composite score = (-0.0487 * 40) + 70.1284 = 68.18.