The linear correlation coefficient is (Round to three decimal places as needed.)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question
Transcribed Image Text:The Minitab output shown below was obtained by using paired data consisting of weights (in lb) of 26 cars and their highway fuel consumption amounts (in mi/gal). Along with the paired sample data,
Minitab was also given a car weight of 3000 lb to be used for predicting the highway fuel consumption amount. Use the information provided in the display to determine the value of the linear correlation
coefficient. (Be careful to correctly identify the sign of the correlation coefficient.) Given that there are 26 pairs of data, is there sufficient evidence to support a claim of linear correlation between the weights
of cars and their highway fuel consumption amounts?
Click the icon to view the Minitab display.
The linear correlation coefficient is
(Round to three decimal places as needed.)
Minitab output
The regression equation is
Highway = 50.3 -0.00539 Weight
Predictor
Coef SE Coef
Constant 50.288
2.998
Weight -0.0053868 0.0007773
|S=2.11773 R-Sq=64.0% R-Sq(adj) = 60.9%
Predicted Values for New Observations
New
Obs
1
Fit
34.128
SE Fit
0.461
Weight
3000
T
17.24
- 7.49
Values of Predictors for New Observations
New
Obs
1
P
0.000
0.000
95% CI
(33.125, 35.131)
95% PI
(29.534, 38.722)
-
X
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