Question

The data below represent commute times​ (in minutes) and scores on a​ well-being survey. Complete parts​ (a) through​ (d) below.

Commute Time​ (minutes), x		55	1515	3030	3535	5050	8484	105105
​Well-Being Index​ Score, y		69.169.1	67.867.8	66.266.2	65.865.8	64.564.5	62.362.3	59.959.9

​(a) Find the​ least-squares regression line treating the commute​ time, x, as the explanatory variable and the index​ score, y, as the response variable.

ModifyingAbove y with caretyequals=nothingxplus+left parenthesis nothing right parenthesis

​(Round to three decimal places as​ needed.)

​(b) Interpret the slope and​ y-intercept, if appropriate. Interpret the slope. Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice.

A.For an index score of​ zero, the commute time is predicted to be

nothing

minutes.

​(Round to three decimal places as​ needed.)

B.For every unit increase in index​ score, the commute time

fallsfalls

by

nothing​,

on average.

​(Round to three decimal places as​ needed.)

C.For every unit increase in commute​ time, the index score

fallsfalls

by

nothing​,

on average.

​(Round to three decimal places as​ needed.)

D.For a commute time of zero​ minutes, the index score is predicted to be

nothing.

​(Round to three decimal places as​ needed.)

E.

It is not appropriate to interpret the slope.

Interpret the​ y-intercept. Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice.

A.For an index score of​ zero, the commute time is predicted to be

nothing

minutes.

​(Round to three decimal places as​ needed.)

B.For every unit increase in commute​ time, the index score

fallsfalls

by

nothing​,

on average.

​(Round to three decimal places as​ needed.)

C.For every unit increase in index​ score, the commute time

fallsfalls

by

nothing​,

on average.

​(Round to three decimal places as​ needed.)

D.For a commute time of zero​ minutes, the index score is predicted to be

nothing.

​(Round to three decimal places as​ needed.)

E.

It is not appropriate to interpret the​ y-intercept.

​(c) Predict the​ well-being index of a person whose commute time is

2525

minutes.The predicted index score is

nothing.

​(Round to one decimal place as​ needed.)

​(d) Suppose Barbara has a

2020​-minute

commute and scores

66.766.7

on the survey. Is Barbara more​ "well-off" than the typical individual who has a

2020​-minute

​commute? Select the correct choice below and fill in the answer box to complete your choice.

​(Round to one decimal place as​ needed.)

A.​No, Barbara is less​ well-off because the typical individual who has a

2020​-minute

commute scores

nothing.

B.​Yes, Barbara is more​ well-off because the typical individual who has a

2020​-minute

commute scores

nothing.

Click to select your answer(s).

Answer 1