Homework Help is Here – Start Your Trial Now!
Math
Statistics
7. Predicting Atlanta Commute TimeThe data in CommuteAtlanta show information on both the commute distance (in miles) and time (in minutes) for a sample of 500 Atlanta commuters. Suppose that we want to build a model for predicting the commute time based on the distance. Distance Time 10 15 45 60 12 45 4 10 15 30 33 60 15 45 4 10 25 25 1 15 22 45 50 50 10 15 30 30 10 30 12 20 2 5 25 45 7 20 8 20 10 20 30 40 23 30 20 40 7 25 3 8 5 15 6 20 45 45 35 35 25 40 15 20 17 20 50 50 10 10 30 45 10 10 20 20 5 5 4 7 21 40 12 30 5 10 32 32 10 40 12 20 35 45 31 70 3 10 22 45 20 30 30 30 20 30 50 50 7 7 8 20 11 30 25 60 15 27 1 1 10 13 25 35 15 15 10 30 24 25 10 20 2 10 5 15 32 32 10 10 12 20 18 20 7 15 30 35 30 30 2 28 3 6 3 15 0 5 20 30 23 35 50 60 20 30 25 50 3 5 10 10 20 30 16 35 1 3 20 25 25 30 20 45 101 180 7 15 5 30 20 50 14 20 8 20 33 45 16 45 35 45 10 10 32 40 14 35 15 15 40 40 15 30 18 35 10 15 12 20 8 25 18 25 2 3 1 5 30 90 23 23 4 20 28 40 10 25 20 45 10 25 15 30 5 10 35 45 12 30 8 25 20 20 45 45 9 9 15 20 45 45 20 45 8 20 12 30 3 10 6 15 30 50 0 10 15 45 0 5 2 2 20 30 12 30 3 7 15 18 3 10 17 25 30 45 60 120 38 45 30 30 2 7 23 35 20 25 20 20 1 3 58 60 7 12 20 30 27 35 3 5 5 10 15 20 17 28 25 40 6 30 5 15 16 32 30 60 10 20 3 15 15 20 0 2 35 40 38 45 50 90 9 20 7 15 23 30 15 45 12 20 12 25 5 15 25 55 8 15 30 30 34 45 35 40 49 90 30 30 60 80 25 30 20 30 62 90 23 23 2 12 20 30 20 25 0 1 10 25 17 30 8 15 37 45 25 75 10 15 30 40 10 20 35 35 5 15 60 80 10 10 17 30 4 15 10 10 25 35 12 50 30 35 10 30 22 35 0 2 5 10 16 30 17 25 0 10 18 25 5 7 35 45 50 60 33 33 10 25 15 15 6 13 10 10 13 20 18 25 4 15 30 40 30 30 1 2 20 20 25 46 30 30 25 30 38 45 18 25 12 20 12 17 39 60 5 15 15 15 8 15 13 30 3 10 30 30 13 20 30 30 50 75 20 20 4 10 8 15 7 20 8 15 26 30 23 30 7 15 7 20 15 20 5 10 22 22 3 10 6 30 10 15 100 181 30 35 10 30 20 35 11 25 2 5 30 30 10 15 6 14 25 60 11 35 3 5 20 25 30 30 35 60 15 20 35 45 6 16 22 25 13 13 30 35 40 45 45 45 7 15 38 45 2 5 12 15 35 40 11 30 38 60 0 3 30 30 30 120 30 45 3 7 1 1 25 25 34 45 45 45 10 20 30 35 5 10 25 25 10 30 25 30 25 25 13 30 22 45 30 30 22 25 35 45 26 27 15 20 8 15 15 40 4 10 15 22 90 90 8 20 30 45 6 15 6 15 25 25 23 45 33 80 15 20 15 20 4 10 5 10 23 45 15 30 20 25 23 45 33 45 36 40 22 38 12 25 10 20 7 15 5 10 12 15 12 20 5 120 10 20 15 15 12 25 25 30 15 45 17 35 25 25 5 7 10 45 12 20 7 20 45 45 10 20 31 45 15 20 3 15 25 30 12 15 20 35 30 90 1 5 15 20 35 40 14 35 7 10 11 23 36 60 15 15 25 45 2 5 20 25 11 20 5 10 12 20 12 25 28 45 22 45 35 45 18 18 15 15 25 25 1 3 8 20 12 15 5 10 14 18 12 20 15 30 10 15 10 10 6 60 20 20 6 10 8 15 30 30 5 12 10 10 10 25 20 20 0 5 13 20 0 3 20 30 25 30 35 45 4 20 20 35 3 10 10 30 30 30 15 40 12 60 35 60 25 40 20 30 8 10 45 60 10 12 25 30 15 35 8 15 4 7 3 10 28 30 6 10 5 10 10 15 7 15 10 10 46 80 3 15 35 35 20 25 27 50 15 20 20 60 32 40 15 30 10 20 20 20 40 60 23 30 18 25 10 15 22 60 15 30 12 20 35 35 10 15 30 55 35 40 18 25 14 25 15 45 5 5 0 1 7 15 20 30 16 25 38 45 20 45 22 22 30 30 14 30 1 1 45 60 15 20 22 45 9 15 15 30 15 30 20 45 30 30 25 63 15 30 25 34 9 15 15 30 10 20 26 65 3 5 10 12 18 60 34 34 13 25   (a) Fit the simple linear model,  Time = β0 + β1 Distance + ε, for the sample of Atlanta commuters. What is the slope of the prediction equation? What is the intercept? Round your answers to two decimal places. (b) What time (in minutes) does the fitted model predict for a 21 mile commute? Round your answer to two decimal places.

7. Predicting Atlanta Commute TimeThe data in CommuteAtlanta show information on both the commute distance (in miles) and time (in minutes) for a sample of 500 Atlanta commuters. Suppose that we want to build a model for predicting the commute time based on the distance. Distance Time 10 15 45 60 12 45 4 10 15 30 33 60 15 45 4 10 25 25 1 15 22 45 50 50 10 15 30 30 10 30 12 20 2 5 25 45 7 20 8 20 10 20 30 40 23 30 20 40 7 25 3 8 5 15 6 20 45 45 35 35 25 40 15 20 17 20 50 50 10 10 30 45 10 10 20 20 5 5 4 7 21 40 12 30 5 10 32 32 10 40 12 20 35 45 31 70 3 10 22 45 20 30 30 30 20 30 50 50 7 7 8 20 11 30 25 60 15 27 1 1 10 13 25 35 15 15 10 30 24 25 10 20 2 10 5 15 32 32 10 10 12 20 18 20 7 15 30 35 30 30 2 28 3 6 3 15 0 5 20 30 23 35 50 60 20 30 25 50 3 5 10 10 20 30 16 35 1 3 20 25 25 30 20 45 101 180 7 15 5 30 20 50 14 20 8 20 33 45 16 45 35 45 10 10 32 40 14 35 15 15 40 40 15 30 18 35 10 15 12 20 8 25 18 25 2 3 1 5 30 90 23 23 4 20 28 40 10 25 20 45 10 25 15 30 5 10 35 45 12 30 8 25 20 20 45 45 9 9 15 20 45 45 20 45 8 20 12 30 3 10 6 15 30 50 0 10 15 45 0 5 2 2 20 30 12 30 3 7 15 18 3 10 17 25 30 45 60 120 38 45 30 30 2 7 23 35 20 25 20 20 1 3 58 60 7 12 20 30 27 35 3 5 5 10 15 20 17 28 25 40 6 30 5 15 16 32 30 60 10 20 3 15 15 20 0 2 35 40 38 45 50 90 9 20 7 15 23 30 15 45 12 20 12 25 5 15 25 55 8 15 30 30 34 45 35 40 49 90 30 30 60 80 25 30 20 30 62 90 23 23 2 12 20 30 20 25 0 1 10 25 17 30 8 15 37 45 25 75 10 15 30 40 10 20 35 35 5 15 60 80 10 10 17 30 4 15 10 10 25 35 12 50 30 35 10 30 22 35 0 2 5 10 16 30 17 25 0 10 18 25 5 7 35 45 50 60 33 33 10 25 15 15 6 13 10 10 13 20 18 25 4 15 30 40 30 30 1 2 20 20 25 46 30 30 25 30 38 45 18 25 12 20 12 17 39 60 5 15 15 15 8 15 13 30 3 10 30 30 13 20 30 30 50 75 20 20 4 10 8 15 7 20 8 15 26 30 23 30 7 15 7 20 15 20 5 10 22 22 3 10 6 30 10 15 100 181 30 35 10 30 20 35 11 25 2 5 30 30 10 15 6 14 25 60 11 35 3 5 20 25 30 30 35 60 15 20 35 45 6 16 22 25 13 13 30 35 40 45 45 45 7 15 38 45 2 5 12 15 35 40 11 30 38 60 0 3 30 30 30 120 30 45 3 7 1 1 25 25 34 45 45 45 10 20 30 35 5 10 25 25 10 30 25 30 25 25 13 30 22 45 30 30 22 25 35 45 26 27 15 20 8 15 15 40 4 10 15 22 90 90 8 20 30 45 6 15 6 15 25 25 23 45 33 80 15 20 15 20 4 10 5 10 23 45 15 30 20 25 23 45 33 45 36 40 22 38 12 25 10 20 7 15 5 10 12 15 12 20 5 120 10 20 15 15 12 25 25 30 15 45 17 35 25 25 5 7 10 45 12 20 7 20 45 45 10 20 31 45 15 20 3 15 25 30 12 15 20 35 30 90 1 5 15 20 35 40 14 35 7 10 11 23 36 60 15 15 25 45 2 5 20 25 11 20 5 10 12 20 12 25 28 45 22 45 35 45 18 18 15 15 25 25 1 3 8 20 12 15 5 10 14 18 12 20 15 30 10 15 10 10 6 60 20 20 6 10 8 15 30 30 5 12 10 10 10 25 20 20 0 5 13 20 0 3 20 30 25 30 35 45 4 20 20 35 3 10 10 30 30 30 15 40 12 60 35 60 25 40 20 30 8 10 45 60 10 12 25 30 15 35 8 15 4 7 3 10 28 30 6 10 5 10 10 15 7 15 10 10 46 80 3 15 35 35 20 25 27 50 15 20 20 60 32 40 15 30 10 20 20 20 40 60 23 30 18 25 10 15 22 60 15 30 12 20 35 35 10 15 30 55 35 40 18 25 14 25 15 45 5 5 0 1 7 15 20 30 16 25 38 45 20 45 22 22 30 30 14 30 1 1 45 60 15 20 22 45 9 15 15 30 15 30 20 45 30 30 25 63 15 30 25 34 9 15 15 30 10 20 26 65 3 5 10 12 18 60 34 34 13 25   (a) Fit the simple linear model,  Time = β0 + β1 Distance + ε, for the sample of Atlanta commuters. What is the slope of the prediction equation? What is the intercept? Round your answers to two decimal places. (b) What time (in minutes) does the fitted model predict for a 21 mile commute? Round your answer to two decimal places.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
See similar textbooks
icon
Related questions
icon
Concept explainers
Topic Video
Question

7. Predicting Atlanta Commute Time

The data in CommuteAtlanta show information on both the commute distance (in miles) and time (in minutes) for a sample of 500 Atlanta commuters. Suppose that we want to build a model for predicting the commute time based on the distance.

Distance Time
10 15
45 60
12 45
4 10
15 30
33 60
15 45
4 10
25 25
1 15
22 45
50 50
10 15
30 30
10 30
12 20
2 5
25 45
7 20
8 20
10 20
30 40
23 30
20 40
7 25
3 8
5 15
6 20
45 45
35 35
25 40
15 20
17 20
50 50
10 10
30 45
10 10
20 20
5 5
4 7
21 40
12 30
5 10
32 32
10 40
12 20
35 45
31 70
3 10
22 45
20 30
30 30
20 30
50 50
7 7
8 20
11 30
25 60
15 27
1 1
10 13
25 35
15 15
10 30
24 25
10 20
2 10
5 15
32 32
10 10
12 20
18 20
7 15
30 35
30 30
2 28
3 6
3 15
0 5
20 30
23 35
50 60
20 30
25 50
3 5
10 10
20 30
16 35
1 3
20 25
25 30
20 45
101 180
7 15
5 30
20 50
14 20
8 20
33 45
16 45
35 45
10 10
32 40
14 35
15 15
40 40
15 30
18 35
10 15
12 20
8 25
18 25
2 3
1 5
30 90
23 23
4 20
28 40
10 25
20 45
10 25
15 30
5 10
35 45
12 30
8 25
20 20
45 45
9 9
15 20
45 45
20 45
8 20
12 30
3 10
6 15
30 50
0 10
15 45
0 5
2 2
20 30
12 30
3 7
15 18
3 10
17 25
30 45
60 120
38 45
30 30
2 7
23 35
20 25
20 20
1 3
58 60
7 12
20 30
27 35
3 5
5 10
15 20
17 28
25 40
6 30
5 15
16 32
30 60
10 20
3 15
15 20
0 2
35 40
38 45
50 90
9 20
7 15
23 30
15 45
12 20
12 25
5 15
25 55
8 15
30 30
34 45
35 40
49 90
30 30
60 80
25 30
20 30
62 90
23 23
2 12
20 30
20 25
0 1
10 25
17 30
8 15
37 45
25 75
10 15
30 40
10 20
35 35
5 15
60 80
10 10
17 30
4 15
10 10
25 35
12 50
30 35
10 30
22 35
0 2
5 10
16 30
17 25
0 10
18 25
5 7
35 45
50 60
33 33
10 25
15 15
6 13
10 10
13 20
18 25
4 15
30 40
30 30
1 2
20 20
25 46
30 30
25 30
38 45
18 25
12 20
12 17
39 60
5 15
15 15
8 15
13 30
3 10
30 30
13 20
30 30
50 75
20 20
4 10
8 15
7 20
8 15
26 30
23 30
7 15
7 20
15 20
5 10
22 22
3 10
6 30
10 15
100 181
30 35
10 30
20 35
11 25
2 5
30 30
10 15
6 14
25 60
11 35
3 5
20 25
30 30
35 60
15 20
35 45
6 16
22 25
13 13
30 35
40 45
45 45
7 15
38 45
2 5
12 15
35 40
11 30
38 60
0 3
30 30
30 120
30 45
3 7
1 1
25 25
34 45
45 45
10 20
30 35
5 10
25 25
10 30
25 30
25 25
13 30
22 45
30 30
22 25
35 45
26 27
15 20
8 15
15 40
4 10
15 22
90 90
8 20
30 45
6 15
6 15
25 25
23 45
33 80
15 20
15 20
4 10
5 10
23 45
15 30
20 25
23 45
33 45
36 40
22 38
12 25
10 20
7 15
5 10
12 15
12 20
5 120
10 20
15 15
12 25
25 30
15 45
17 35
25 25
5 7
10 45
12 20
7 20
45 45
10 20
31 45
15 20
3 15
25 30
12 15
20 35
30 90
1 5
15 20
35 40
14 35
7 10
11 23
36 60
15 15
25 45
2 5
20 25
11 20
5 10
12 20
12 25
28 45
22 45
35 45
18 18
15 15
25 25
1 3
8 20
12 15
5 10
14 18
12 20
15 30
10 15
10 10
6 60
20 20
6 10
8 15
30 30
5 12
10 10
10 25
20 20
0 5
13 20
0 3
20 30
25 30
35 45
4 20
20 35
3 10
10 30
30 30
15 40
12 60
35 60
25 40
20 30
8 10
45 60
10 12
25 30
15 35
8 15
4 7
3 10
28 30
6 10
5 10
10 15
7 15
10 10
46 80
3 15
35 35
20 25
27 50
15 20
20 60
32 40
15 30
10 20
20 20
40 60
23 30
18 25
10 15
22 60
15 30
12 20
35 35
10 15
30 55
35 40
18 25
14 25
15 45
5 5
0 1
7 15
20 30
16 25
38 45
20 45
22 22
30 30
14 30
1 1
45 60
15 20
22 45
9 15
15 30
15 30
20 45
30 30
25 63
15 30
25 34
9 15
15 30
10 20
26 65
3 5
10 12
18 60
34 34
13

25

 

(a) Fit the simple linear model,  Time = β0 + β1 Distance + ε, for the sample of Atlanta commuters. What is the slope of the prediction equation? What is the intercept? Round your answers to two decimal places.

(b) What time (in minutes) does the fitted model predict for a 21 mile commute? Round your answer to two decimal places.

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 1 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Centre, Spread, and Shape of a Distribution
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar 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
SEE MORE TEXTBOOKS