An aircraft 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 27 of the company’s planes was taken, and the following model was estimated: y = 0 +11+22+33+ Where y = design effort, in millions of worker-hours 1 = plane’s top speed, in miles per hour 2= plane’s weight, in tons 3 = percentage of parts in common with other models The estimated regression coefficients were as follows: b1 = 0.661 b2 = 0.065 b3 = - 0.018 The total sum of squares and regression sum of squares were found to be as follows: SST = 3.881 and SSR = 3.549 Compute and interpret the coefficient of determination. Compute the error sum of squares. Compute the adjusted coefficient of determination. Compute and interpret the coefficient of multiple correlation.

An aircraft 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 27 of the company’s planes was taken, and the following model was estimated: y = 0 +11+22+33+ Where y = design effort, in millions of worker-hours 1 = plane’s top speed, in miles per hour 2= plane’s weight, in tons 3 = percentage of parts in common with other models The estimated regression coefficients were as follows: b1 = 0.661 b2 = 0.065 b3 = - 0.018 The total sum of squares and regression sum of squares were found to be as follows: SST = 3.881 and SSR = 3.549 Compute and interpret the coefficient of determination. Compute the error sum of squares. Compute the adjusted coefficient of determination. Compute and interpret the coefficient of multiple correlation.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter7: Distance And Approximation

Section7.3: Least Squares Approximation

Problem 31EQ

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