following data represent the commute time (in minutes) x and a score on well-being survey y. The equation of the least-squares regression line is y nd the standard error of the estimate is 0.5157. Complete parts (a) through (e) below. X y 5 25 35 50 72 105 15 69.0 68.2 67.4 67.1 66.8 66.5 63.6 (...) a) Predict the mean well-being index composite score of all individuals whose commute time is 20 minutes. = (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 20 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 20 minutes. = (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 20 minutes. 0400X 00.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
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 y=-0.0468x + 68.9967
and the standard error of the estimate is 0.5157. Complete parts (a) through (e) below.
X
5
T
y
69.0
Lower Bound
Upper Bound
15 25 35 50 72 105
68.2 67.4 67.1 66.8 66.5 63.6
(a) Predict the mean well-being index composite score of all individuals whose commute time is 20 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 20 minutes.
= (Round to two decimal places as needed.)
= (Round to two decimal places as needed.)
G
(c) Predict the well-being index composite score of Jane, whose commute time is 20 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 20 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 mean well-being score for all individuals whose commute is 20 minutes, and the prediction made in part (c) is an
estimate of the well-being score for the individual, Jane, whose commute is 20 minutes.
O B. The prediction made in part (a) is the average well-being score for all individuals whose commute is 68.06 minutes, and the prediction made in part (c) is an estimate of
the well-being score for the individual, Jane, whose commute is 68.06 minutes.
O C. The prediction made in part (a) is an estimate of the well-being score for the individual, Jane, whose commute is 20 minutes, and the prediction made in part (c) is an
estimate of the mean well-being score for all individuals whose commute is 20 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=-0.0468x + 68.9967 and the standard error of the estimate is 0.5157. Complete parts (a) through (e) below. X 5 T y 69.0 Lower Bound Upper Bound 15 25 35 50 72 105 68.2 67.4 67.1 66.8 66.5 63.6 (a) Predict the mean well-being index composite score of all individuals whose commute time is 20 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 20 minutes. = (Round to two decimal places as needed.) = (Round to two decimal places as needed.) G (c) Predict the well-being index composite score of Jane, whose commute time is 20 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 20 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 mean well-being score for all individuals whose commute is 20 minutes, and the prediction made in part (c) is an estimate of the well-being score for the individual, Jane, whose commute is 20 minutes. O B. The prediction made in part (a) is the average well-being score for all individuals whose commute is 68.06 minutes, and the prediction made in part (c) is an estimate of the well-being score for the individual, Jane, whose commute is 68.06 minutes. O C. The prediction made in part (a) is an estimate of the well-being score for the individual, Jane, whose commute is 20 minutes, and the prediction made in part (c) is an estimate of the mean well-being score for all individuals whose commute is 20 minutes.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman