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An aircract company wanted to predict the number of worker-hours necessary to finish the design of a new plane. Relevant explanatory variables were thought to
An aircract company wanted to predict the number of worker-hours necessary to finish the design of a new plane. Relevant explanatory variables were thought to be the plane's top speed, its weight, and the number of parts it had in common with other models built by the company. A sample of 19 of the company's planes was taken, and the following model was estimated, wher y is the design effort, in millions of worker-hours, x, is the plane's top speed, in miles per hour, X, is the plane's weight, in tons, and X, is the percentage of parts in common with other models. y = Bo + B1X2 + B2X2 + B3X3 + The total sum of squares and regression sum of squares were found to be SST = 3.804 and SSR = 3.435. Complete parts a through d below. a. Compute and interpret the coefficient of determination. RE (Round to four decimal places as needed.) Interpret the meaning of the coefficient of determination. The coefficient of determination indicates that ]% of the variation in the variable(s) can be explained by the variation in the variable(s) (Round to two decimal places as needed.) b. Compute the error sum of squares. SSE (Round to four decimal places as needed.) c. Compute the adjusted coefficient of determination. R? (Round to four decimal places as needed.) d. Compute and interpret the coefficient of multiple correlation. R= (Round to four decimal places as needed.) Interpret the coefficient of multiple correlation. Choose the correct answer below. O A. There is a strong correlation between the independent variable and the dependent variables. B. There is a weak correlation between the independent variable and the dependent variables. OC. The strength of the correlation can not be determined. D. There is no correlation between the independent variable and the dependent variables
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