An engineer wanted to determine how the weight of a car affects gas mileage. The accompanying data represent the weights of various domestic cars and their gas mileages in the city for a certain model year. Complete parts (a) through (d) below. Click here to view the car data. Click here to view the table of critical values of the correlation coefficient (a) Determine which variable is the likely explanatory variable and which is the likely response variable. Choose the correct answer below. The explanatory variable is the weight and the response variable is the miles per gallon. O The explanatory variable is the miles per gallon and the response variable is the weight. (b) Draw a scatter diagram of the data. Choose the correct graph below. OA. 4100- 3300-1 2500- 15 23 Miles per Gallon Q B. r= (Round to three decimal places as needed.) 3. 154 ****** 2500 3300 4100 Weight (lbs) (c) Compute the linear correlation coefficient between the weight of a car and its miles per gallon. Q O C. 4100- 3300 2500- 15 23 31 Miles per Gallon Q G O D. 15-1 ****** > 2500 3300 4100 Weight (lbs) Q G
An engineer wanted to determine how the weight of a car affects gas mileage. The accompanying data represent the weights of various domestic cars and their gas mileages in the city for a certain model year. Complete parts (a) through (d) below. Click here to view the car data. Click here to view the table of critical values of the correlation coefficient (a) Determine which variable is the likely explanatory variable and which is the likely response variable. Choose the correct answer below. The explanatory variable is the weight and the response variable is the miles per gallon. O The explanatory variable is the miles per gallon and the response variable is the weight. (b) Draw a scatter diagram of the data. Choose the correct graph below. OA. 4100- 3300-1 2500- 15 23 Miles per Gallon Q B. r= (Round to three decimal places as needed.) 3. 154 ****** 2500 3300 4100 Weight (lbs) (c) Compute the linear correlation coefficient between the weight of a car and its miles per gallon. Q O C. 4100- 3300 2500- 15 23 31 Miles per Gallon Q G O D. 15-1 ****** > 2500 3300 4100 Weight (lbs) Q G
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question

Transcribed Image Text:An engineer wanted to determine how the weight of a car affects gas mileage. The accompanying data represent the weights of various domestic cars and their gas mileages in the city for a certain model year. Complete parts (a)
through (d) below.
Click here to view the car data.
Click here to view the table of critical values of the correlation coefficient
(a) Determine which variable is the likely explanatory variable and which is the likely response variable. Choose the correct answer below.
The explanatory variable is the weight and the response variable is the miles per gallon.
The explanatory variable is the miles per gallon and the response variable is the weight.
(b) Draw a scatter diagram of the data. Choose the correct graph below.
O A.
Weight (lbs)
r=
4100-
3300-
2500+
15 23 31
Miles per Gallon
N
B.
(Round to three decimal places as needed.)
Miles per Gallon
31-
23-
(c) Compute the linear correlation coefficient between the weight of a car and its miles per gallon.
15+
2500 3300 4100
Weight (lbs)
O C.
Weight (lbs)
4100-
3300-
2500-
15 23 31
Miles per Gallon
U
D.
Miles per Gallon
31-
23
15-
2500 3300
Weight (lbs)
4100

Transcribed Image Text:how the weight of a car affects gas mileage. The accompanying data represent
needed.)
Car Data
Car
Car 1
Car 2
Car 3
Car 4
Car 5
Car 6
Car 7
Car 8
Car 9
Car 10
Car 11
Weight
(lbs)
3,755
3,984
3,470
3,175
2,580
3,730
2,605
Print
3,772
3,310
2,991
2,752
Miles per
Gallon
21
18
21
22
27
18
26
17
20
25
26
Done
X
Critical Values for the Correlation Coefficient
Critical Values for Correlation Coefficient
Print
n
3
0.997
4 0.950
5
0.878
6
0.811
7
0.754
8
0.707
9 0.666
10 0.632
11 0.602
12
0.576
13 0.553
14 0.532
15 0.514
16 0.497
17 0.482
18 0.468
19 0.456
20 0.444
21 0.433
22 0.42
23 0.413
24 0.404
25 0.396
26 0.388
Done
Expert Solution
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Follow-up Questions
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Follow-up Question
The variables weight of a car and its miles per gallon are ( pick one - negatively, not, or positively) associated because r is ( pick one - zero, negative or positive) and the absolute value of the correlation coefficient is ( pick one - less or greater) the critical value (enter your response here.)
(Round to three decimal places as needed.)
Solution
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