The Minitab output shown below was obtained by using paired data consisting of weights (in Ib) of 31 cars and their highway fuel consumption amounts (in mi/gal). Along with the paired sample data, Minitab was also given a car weight of 4000 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 31 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. The regression equation is Highway = 50.5 - 0.00594 Weight (Round to three decimal places as needed.) Predictor Constant Weight Coef SE Coef 50.544 2.978 17.85 0.000 -0.0059351 0.0007513 -7.28 0.000 S=2.10089 R-Sq = 63.2% R-Sq(adj) = 60.6% Predicted Values for New Observations New Obs Fit SE Fit 95% CI 95% PI 1 26.804 0.524 (25.789, 27.819) (22.208, 31.400) Values of Predictors for New Observations New Obs Weight 1 4000

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Author:Amos Gilat
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The Minitab output shown below was obtained by using paired data consisting of weights (in Ib) of 31 cars and their highway fuel consumption amounts (in mi/gal). Along with the paired sample data, Minitab was also given a car weight of 4000 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 31 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
The regression equation is
(Round to three decimal places as needed.)
= 50.5 - 0.00594 Weight
Predictor
Coef
SE Coef
P
Constant
50.544
2.978
17.85
0.000
Weight
- 0.0059351
0.0007513
- 7.28
0.000
S= 2.10089
R-Sq = 63.2%
R- Sq(adj) = 60.6%
Predicted Values for New Observations
New
Obs
Fit
SE Fit
95% CI
95% PI
1
26.804
0.524
(25.789, 27.819)
(22.208, 31.400)
Values of Predictors for New Observations
New
Obs
Weight
1
4000
Transcribed Image Text:The Minitab output shown below was obtained by using paired data consisting of weights (in Ib) of 31 cars and their highway fuel consumption amounts (in mi/gal). Along with the paired sample data, Minitab was also given a car weight of 4000 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 31 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 The regression equation is (Round to three decimal places as needed.) = 50.5 - 0.00594 Weight Predictor Coef SE Coef P Constant 50.544 2.978 17.85 0.000 Weight - 0.0059351 0.0007513 - 7.28 0.000 S= 2.10089 R-Sq = 63.2% R- Sq(adj) = 60.6% Predicted Values for New Observations New Obs Fit SE Fit 95% CI 95% PI 1 26.804 0.524 (25.789, 27.819) (22.208, 31.400) Values of Predictors for New Observations New Obs Weight 1 4000
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