For Numbers 36 and 37: It is beneficial to be able to estimate the weight of a tree based on measurements before its harvest. It is believed that the weight of the tree is dependent on its height, in feet. To verify this, a random sample of eight trees were harvested and the height, as well as the actual weight, in kg, were recorded. A simple linear regression analysis was performed, and the results are as follows: Coefficients: Estimate Std. Error t value Pr (> [t]) (Intercept) -965.774 352.075 -2.743 0.03360. Height 6.008 4.960 0.00255. 29.800 ---- Signif. codes: 0 ***** 0.001 0.01 0.05 0.11 Residual standard error: 286.5 on 6 degrees of freedom Multiple R-squared: 0.8039, Adjusted R-squared: 0.7713 F-statistic: 24.6 on 1 and 6 DF, p-value: 0.002552 36. Which of the following is(are) TRUE? 1. For every foot increase in the tree's height, the tree's weight is expected to increase by 29.8 II. The estimated model is given by YHEIGHT= -965.774+29.8XWEIGHT A. I only B. II only C. Both I and II D. Neither I nor II 37. At 5% level of significance, the appropriate decision and conclusion to verify the claim is A. Fail to reject Ho, Weight is not linearly dependent on tree's height. B. Fail to reject Ho, Weight is linearly dependent on tree's height. C. Reject Ho, Weight is not linearly dependent on tree's height. D. Reject Ho, Weight is linearly dependent on tree's height.
For Numbers 36 and 37: It is beneficial to be able to estimate the weight of a tree based on measurements before its harvest. It is believed that the weight of the tree is dependent on its height, in feet. To verify this, a random sample of eight trees were harvested and the height, as well as the actual weight, in kg, were recorded. A simple linear regression analysis was performed, and the results are as follows: Coefficients: Estimate Std. Error t value Pr (> [t]) (Intercept) -965.774 352.075 -2.743 0.03360. Height 6.008 4.960 0.00255. 29.800 ---- Signif. codes: 0 ***** 0.001 0.01 0.05 0.11 Residual standard error: 286.5 on 6 degrees of freedom Multiple R-squared: 0.8039, Adjusted R-squared: 0.7713 F-statistic: 24.6 on 1 and 6 DF, p-value: 0.002552 36. Which of the following is(are) TRUE? 1. For every foot increase in the tree's height, the tree's weight is expected to increase by 29.8 II. The estimated model is given by YHEIGHT= -965.774+29.8XWEIGHT A. I only B. II only C. Both I and II D. Neither I nor II 37. At 5% level of significance, the appropriate decision and conclusion to verify the claim is A. Fail to reject Ho, Weight is not linearly dependent on tree's height. B. Fail to reject Ho, Weight is linearly dependent on tree's height. C. Reject Ho, Weight is not linearly dependent on tree's height. D. Reject Ho, Weight is linearly dependent on tree's height.
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Author:Bruce Crauder, Benny Evans, Alan Noell
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Chapter3: Straight Lines And Linear Functions
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Problem 15CR: Life Expectancy The following table shows the average life expectancy, in years, of a child born in...
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Transcribed Image Text:For Numbers 36 and 37: It is beneficial to be able to estimate the weight of a tree based on
measurements before its harvest. It is believed that the weight of the tree is dependent on its
height, in feet. To verify this, a random sample of eight trees were harvested and the height, as
well as the actual weight, in kg, were recorded. A simple linear regression analysis was performed,
and the results are as follows:
Coefficients:
Estimate Std. Error t value Px (>ltl)
(Intercept) -965.774 352.075 -2.743 0.03360.
Height
29.800
6.008 4.960 0.00255
Signif. codes: 0 ***** 0.001 0.01 0.05 0.1-
Residual standard error: 286.5 on 6 degrees of freedom
0.7713
Multiple R-squared: 0.8039, Adjusted R-squared:
F-statistic: 24.6 on 1 and 6 DF, D-value: 0.002552
C. Both I and II
INI
36. Which of the following is(are) TRUE?
1. For every foot increase in the tree's height, the tree's weight is expected to increase by 29.8
II. The estimated model is given by YHEIGHT= -965.774+29.8XWEIGHT
A. I only
B. II only
37. At 5% level of significance, the appropriate decision and conclusion to verify the claim is
M
A. Fail to reject Ho, Weight is not linearly dependent on tree's height.
B. Fail to reject Ho, Weight is linearly dependent on tree's height.
C. Reject Ho, Weight is not linearly dependent on tree's height.
D. Reject Ho, Weight is linearly dependent on tree's height.
D. Neither I nor ll
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