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.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter2: Exponential, Logarithmic, And Trigonometric Functions
Section2.CR: Chapter 2 Review
Problem 111CR: Respiratory Rate Researchers have found that the 95 th percentile the value at which 95% of the data...
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
Recommended textbooks for you
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Functions and Change: A Modeling Approach to Coll…
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL