An engineer wanted to determine how the weight of a car affects gas mileage. The following data represent the weight of various cars and their gas mileage. Complete parts (a) through (d). Weight Miles per Car (pounds) Gallon A 2655 26 B 3340 21 3310 19 3100 21 3180 23 C D E Click the icon to view the critical values table. f 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. O (b) Draw a scatter diagram of the data. Choose the correct scatter plot. OA. OB. 304 (a) 15+ 2500 O C. Weight (lbs) 4000 2500+ 4000 15 Q Q 30 Q Q Apranianory G TUDIO an 8 21 Because the correlation coefficient is than the critical value for this data set, weight of a car and its miles per gallon. (Round to three decimal places as needed.) g 40007 D. A 2500+ 15 30- % . mpg .. 30 15+ 2500 Weight (lbs) mpg (c) Compute the linear correlation coefficient between the weight of a car and its miles per gallon. T-.879 (Round to three decimal places as needed.). Q 4000 ✔ Q Q ory Toupondo TandioIOT G (d) Comment on the type of relation that appears to exist between the weight of a car and its miles pert gallon based on the scatter diagram and the linear correlation coefficient. and the absolute value of the correlation coefficient, linear relation exists between the
An engineer wanted to determine how the weight of a car affects gas mileage. The following data represent the weight of various cars and their gas mileage. Complete parts (a) through (d). Weight Miles per Car (pounds) Gallon A 2655 26 B 3340 21 3310 19 3100 21 3180 23 C D E Click the icon to view the critical values table. f 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. O (b) Draw a scatter diagram of the data. Choose the correct scatter plot. OA. OB. 304 (a) 15+ 2500 O C. Weight (lbs) 4000 2500+ 4000 15 Q Q 30 Q Q Apranianory G TUDIO an 8 21 Because the correlation coefficient is than the critical value for this data set, weight of a car and its miles per gallon. (Round to three decimal places as needed.) g 40007 D. A 2500+ 15 30- % . mpg .. 30 15+ 2500 Weight (lbs) mpg (c) Compute the linear correlation coefficient between the weight of a car and its miles per gallon. T-.879 (Round to three decimal places as needed.). Q 4000 ✔ Q Q ory Toupondo TandioIOT G (d) Comment on the type of relation that appears to exist between the weight of a car and its miles pert gallon based on the scatter diagram and the linear correlation coefficient. and the absolute value of the correlation coefficient, linear relation exists between the
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
I just need help with the last portion of these questions.
Transcribed Image Text:For the accompanying data set, (a) draw a scatter diagram of the data, (b) compute the correlation coefficient, and (c) determine whether there is a linear relation between x and y.
Click the icon to view the data set.
Click the icon to view the critical values table.
a) Draw a scatter diagram of the data. Choose the correct graph below.
10+
0-
0
10
B.
Ay
10+
0-
10
Q
b) Compute the correlation coefficient.
The correlation coefficient is r = 0.061. (Round to three decimal places as needed.)
c) Determine whether there is a linear relation between x and y.
Because the correlation coefficient is
Round to three decimal places as needed.)
and the absolute value of the correlation coefficient,, is
Ay
10-
0
10
than the critical value for this data set,
D.
Av
10+
0-
0
linear relation exists between x and y.
Transcribed Image Text:An engineer wanted to determine how the weight of a car affects gas mileage. The following data represent the weight
of various cars and their gas mileage. Complete parts (a) through (d).
Car
A
B
C
D
E
Click the icon to view the critical values table.
Weight Miles per
(pounds)
Gallon
2655
26
3340
21
3310
19
3100
21
3180
23
-C
(b) Draw a scatter diagram of the data. Choose the correct scatter plot.
OA.
mpg
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.
Weight (lbs)
30-
15+
2500
4000
Weight (lbs)
4000-
2500+
15
::.
mpg
30
Q
r-.879
(Round to three decimal places as needed.)
Weight (lbs)
6du
Because the correlation coefficient is
than the critical value for this data set,
weight of a car and its miles per gallon.
(Round to three decimal places as needed.)
B.
4000-
2500+
30-
15-
15
2500
··
mpg
"
30
4000
Weight (lbs)
(c) Compute the linear correlation coefficient between the weight of a car and its miles per gallon.
Q
(d) Comment on the type of relation that appears to exist between the weight of a car and its miles per
gallon based on the scatter diagram and the linear correlation coefficient.
and the absolute value of the correlation coefficient, is
linear relation exists between the
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