Coefficients: Estimate Std. Errort value Pri 352.075 -2.743 0.03360 - 6.008 4.960 0.00255 ** (Intercept) -965.774 Height 29.800 --- Signif. codes: 0 ***** 0.001 **** 0.01 0.05 *. Q.A Residual standard error: 286.5 on 6 degrees of freedom Multiple R-squared: 0.8039, Adjusted R-aquared: 0.7713 F-statistic: 24.6 on 1 and 6 DF, p-value: 0.002582 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 YHDGHT-965.774+29.8Xwm A. I only B. II only 37. At 5% level of significance, the appropriate decision and conclusion to verify the dama C. Both I and II 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 inorit

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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 s
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
(Intercept) -965.774
Height
29.800
|---
352.075 -2.743 0.03360*
6.008 4.960 0.00255 **
Signif. codes: 0 ***** 0.001 **** 0.01 *** 0.05 *.* 0.
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 29.3
II. The estimated model is given by YHDGHT-965.774+29.8X
B. II only
A. I only
D. Neither inor it
37. At 5% level of significance, the appropriate decision and conclusion to verify the doma
C. Both I and II
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.
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 s 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 (Intercept) -965.774 Height 29.800 |--- 352.075 -2.743 0.03360* 6.008 4.960 0.00255 ** Signif. codes: 0 ***** 0.001 **** 0.01 *** 0.05 *.* 0. 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 29.3 II. The estimated model is given by YHDGHT-965.774+29.8X B. II only A. I only D. Neither inor it 37. At 5% level of significance, the appropriate decision and conclusion to verify the doma C. Both I and II 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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