d) Construct a 90% prediction interval for the well-being index composite score of Jane, whose commute time is 30 minutes. Lower Bound = O (Round to two decimal places as needed.) Upper Bound =(Round to two decimal places as needed.) e) What is the difference between the predictions made in parts (a) and (c)? O A. The prediction made in part (a) is an estimate of the well-being score for the individual, Jane, whose commute is 30 minutes, and the prediction made in part (c) is an estimate of the mean well-being score for all individuals whose commute is 30 minutes. OB. The prediction made in part (a) is an estimate of the mean well-being score for all individuals whose commute is 30 minutes, and the prediction made in part (c) is an estimate of the well-being score for the individual, Jane, whose commute is 30 minutes. O C. The prediction made in part (a) is the average well-being score for all individuals whose commute 67.93 minutes, and the prediction made in part (c) is an estimate of the well-being score for the individual, Jane, whose commute is 67.93 minutes.

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d,e

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 y = - 0.0423x + 69.1961 and the standard error of the estimate is 0.5262. Complete parts (a) through (e) below.
115 O
66.8 66.2 66.5 64.2
15
25
35
45
60
82
y
69.0
68.3 67.4
(a) Predict the mean well-being index composite score of all individuals whose commute time is 30 minutes.
y = (Round to two decimal places as needed.)
(b) Construct a 90% confidence interval for the mean well-being index composite score of all individuals whose commute time is 30 minutes.
Lower Bound
|(Round to two decimal places as needed.)
Upper Bound
(Round to two decimal places as needed.)
(c) Predict the well-being index composite score of Jane, whose commute time is 30 minutes.
y = (Round to two decimal places as needed.)
(d) Construct a 90% prediction interval for the well-being index composite score of Jane, whose commute time is 30 minutes.
Lower Bound
(Round to two decimal places as needed.)
Upper Bound
(Round to two decimal places as needed.)
(e) What is the difference between the predictions made in parts (a) and (c)?
O A. The prediction made in part (a) is an estimate of the well-being score for the individual, Jane, whose commute is 30 minutes, and the prediction made in part (c) is an estimate of the mean well-being score for all individuals whose commute is 30 minutes.
O B. The prediction made in part (a) is an estimate of the mean well-being score for all individuals whose commute is 30 minutes, and the prediction made in part (c) is an estimate of the well-being score for the individual, Jane, whose commute is 30 minutes.
O C. The prediction made in part (a) is the average well-being score for all individuals whose commute is 67.93 minutes, and the prediction made in part (c) is an estimate of the well-being score for the individual, Jane, whose commute is 67.93 minutes.
Transcribed Image Text: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 y = - 0.0423x + 69.1961 and the standard error of the estimate is 0.5262. Complete parts (a) through (e) below. 115 O 66.8 66.2 66.5 64.2 15 25 35 45 60 82 y 69.0 68.3 67.4 (a) Predict the mean well-being index composite score of all individuals whose commute time is 30 minutes. y = (Round to two decimal places as needed.) (b) Construct a 90% confidence interval for the mean well-being index composite score of all individuals whose commute time is 30 minutes. Lower Bound |(Round to two decimal places as needed.) Upper Bound (Round to two decimal places as needed.) (c) Predict the well-being index composite score of Jane, whose commute time is 30 minutes. y = (Round to two decimal places as needed.) (d) Construct a 90% prediction interval for the well-being index composite score of Jane, whose commute time is 30 minutes. Lower Bound (Round to two decimal places as needed.) Upper Bound (Round to two decimal places as needed.) (e) What is the difference between the predictions made in parts (a) and (c)? O A. The prediction made in part (a) is an estimate of the well-being score for the individual, Jane, whose commute is 30 minutes, and the prediction made in part (c) is an estimate of the mean well-being score for all individuals whose commute is 30 minutes. O B. The prediction made in part (a) is an estimate of the mean well-being score for all individuals whose commute is 30 minutes, and the prediction made in part (c) is an estimate of the well-being score for the individual, Jane, whose commute is 30 minutes. O C. The prediction made in part (a) is the average well-being score for all individuals whose commute is 67.93 minutes, and the prediction made in part (c) is an estimate of the well-being score for the individual, Jane, whose commute is 67.93 minutes.
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