The Minitab output shown below was obtained by using paired data consisting of weights (in Ib) of 32 cars and their highway fuel consumption amounts (in mi/gal). Along with the paired sample data, Minitab was also given a car weight of 4500 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 32 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? E Click the icon to view the Minitab display. - X Minitab output The linear correlation coefficient is. (Round to three decimal places as needed.) The regression equation is Highway = 50.9 -0.00539 Weight Predictor Coef SE Coef T P Constant Weight 50.856 2.856 17.48 0.000 - 0.0053916 0.0007634 -7.59 0.000 s=2.10918 R-Sq = 64.2% R-Sq(adj) = 61.7% Predicted Values for New Observations New Obs Fit SE Fit 95% CI 95% PI 26.594 0.521 (25.582, 27.606) (21.997, 31.191) Values of Predictors for New Observations New Obs Weight 4500

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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The Minitab output shown below was obtained by using paired data consisting of weights (in Ib) of 32 cars and their highway fuel consumption amounts (in mi/gal). Along with the paired sample data, Minitab was also given a car weight of 4500 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 32 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.
Minitab output
The linear correlation coefficient is
(Round to three decimal places as needed.)
The regression equation is
Highway = 50.9- 0.00539 Weight
Predictor
Сoef
SE Coef
P
Constant
50.856
2.856
17.48
0.000
Weight
- 0.0053916
0.0007634
- 7.59
0.000
S= 2.10918
R-Sq = 64.2%
R- Sq(adj) = 61.7%
Predicted Values for New Observations
New
Obs
Fit
SE Fit
95% CI
95% PI
1
26.594
0.521
(25.582, 27.606)
(21.997, 31.191)
Values of Predictors for New Observations
New
Obs
Weight
1
4500
Transcribed Image Text:The Minitab output shown below was obtained by using paired data consisting of weights (in Ib) of 32 cars and their highway fuel consumption amounts (in mi/gal). Along with the paired sample data, Minitab was also given a car weight of 4500 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 32 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. Minitab output The linear correlation coefficient is (Round to three decimal places as needed.) The regression equation is Highway = 50.9- 0.00539 Weight Predictor Сoef SE Coef P Constant 50.856 2.856 17.48 0.000 Weight - 0.0053916 0.0007634 - 7.59 0.000 S= 2.10918 R-Sq = 64.2% R- Sq(adj) = 61.7% Predicted Values for New Observations New Obs Fit SE Fit 95% CI 95% PI 1 26.594 0.521 (25.582, 27.606) (21.997, 31.191) Values of Predictors for New Observations New Obs Weight 1 4500
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