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The F-test results tell us that the model is significant as the F-statistic is greater than 1. This implies that the independent variables (girth and

The F-test results tell us that the model is significant as the F-statistic is greater than 1. This implies that the independent variables (girth and height) are significantly related to the dependent variable (volume). b) To calculate the confidence and prediction intervals for a black cherry tree with 10 inch of girth and 82 feet tall, we need to first calculate the estimated value of the volume using the multiple linear regression model. The estimated value of the volume can be calculated as follows: Volume 30+1*Girth+2*Height Where BO, 1 and 2 are the regression coefficients. Now, we can calculate the 95% confidence interval and 95% prediction interval as follows: Confidence interval: Volume 1.96*Standard error of the estimate Prediction interval: Volume 2.58*Standard error of the estimate. Where the standard error of the estimate is calculated as the square root of the variance of the residuals. Thus, for a black cherry tree with 10 inch of girth and 82 feet tall, the 95% confidence interval and 95% prediction interval can be calculated and will be in the range of (Volume +1.96 Standard error of the estimate) and (Volume 2.58*Standard error of the estimate) respectively

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