Answered: A prediction equation for sales and…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A prediction equation for sales and payroll was performed using simple linear regression. In the regression printout shown below, which of the following statements is not true? SUMMARY OUTPUT Regression Statistics Multiple R 0.833333 R Square 0.694444 Adjusted R Square 0.618056 Standard Error 1.311011 Observations 6 ANOVA Df SS MS F Significance F Regression 1 15.625 15.625 9.090909 0.039352 Residual 4 6.875 1.71875 Total 5 22.5 Coefficients Standard Error t Stat P-Value Lower 95% Upper 95% Intercept 2 1.742544 1.147747 0.31505 -2.83808 6.838077 Payroll (X) 1.25 0.414578 3.015113 0.039352 0.098947 2.401053 A) Payroll is a good predictor of Sales based on α = 0.05. B) There is evidence of a positive linear relationship between Sales and Payroll based on α = 0.05. C) Payroll is not a good predictor of Sales based on α = 0.01. D) The coefficient of determination is equal to 0.833333.

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