The Minitab output shown below was obtained by using paired data consisting of weights (in Ib) of 27 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 ib 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 27 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.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.2: The Least Square Line
Problem 7E
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Highway = 50.5 - 0.00577 Weight
Predictor
Coef
SE Coef
T
P
Constant
50.532
2.756
17.85
0.000
Weight
- 0.0057702 0.0007843
- 7.85
0.000
S=2.21674
R-Sq = 66.9% R-Sq(adj) = 64.1%
Predicted Values for New Observations
New
Obs
Fit
SE Fit
95% CI
95% PI
1
27.451
0.519
(26.448, 28.454)
(22.860, 32.042)
Values of Predictors for New Observations
New
Obs
Weight
1
4000
Transcribed Image Text:Highway = 50.5 - 0.00577 Weight Predictor Coef SE Coef T P Constant 50.532 2.756 17.85 0.000 Weight - 0.0057702 0.0007843 - 7.85 0.000 S=2.21674 R-Sq = 66.9% R-Sq(adj) = 64.1% Predicted Values for New Observations New Obs Fit SE Fit 95% CI 95% PI 1 27.451 0.519 (26.448, 28.454) (22.860, 32.042) Values of Predictors for New Observations New Obs Weight 1 4000
The Minitab output shown below was obtained by using paired data consisting of weights (in Ib) of 27 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 27 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.
The linear correlation coefficient is
(Round to three decimal places as needed.)
Is there sufficient evidence to support a claim of linear correlation?
O Yes
O No
Transcribed Image Text:The Minitab output shown below was obtained by using paired data consisting of weights (in Ib) of 27 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 27 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. The linear correlation coefficient is (Round to three decimal places as needed.) Is there sufficient evidence to support a claim of linear correlation? O Yes O No
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