XYZ Sdn. Bhd. needs to forecast its personnel department costs. The following output wasobtained from a regression programme used to estimate the department's costs as a functionof the number of employees:Dependent variable = Personnel costsR-squareStandard errorObservations0.7255612.092624IndependentvariableIntercept (a)Employees (b)CoefficientsStandard ErrorP-value0.1788,421 (rounded)492.7032,687.979164.9490.045Monthly data for the past two years were used to construct these estimates. Costrelationships are expected to be the same for the coming period.Required:a) What are the estimated personnel costs for 4,200 employees?b) How confident are you that a significant cost-driver relation exits at alpha equal to5%?

Given that XYZ Sdn. Bhd. needs to forecast its personnel department costs. The following output was…

Answered: XYZ Sdn. Bhd. needs to forecast its…

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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In order to test for the significance of a regression model involving 10 independent variables and 100 observations, the numerator and denominator degrees of freedom (respectively) for the critical value of F are?
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A research department of an American automobile company wants to develop a model topredict gasoline mileage (measured in MPG) of the company’s vehicles by using theirhorsepower and weights (measured in pounds). To do this, it took a random sample of 50vehicles to perform a regression analysis as follows: SUMMARYOUTPUTRegression StatisticsMultiple R 0.865689R Square 0.749417Adjusted RSquare 0.738754Standard Error 4.176602Observations 50ANOVAdf SS MS FRegression a 2451.973702 1225.987 dResidual b 819.8680976 cTotal 49 3271.8418CoefficientsStandardError t StatIntercept 58.15708 2.658248208 21.87797Horsepower -0.11753 0.032643428 -3.60028Weight -0.00687 0.001401173 -4.90349(a) State the multiple regression equation. Interpret the meanings of the coefficients forhorsepower and weight.(b) Test the validity of this multiple regression equation at the significance level of 1%. Showyour reasoning.(c) The research department claims that the weight of the vehicle is negatively linearly related…
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suppose that you want to conduct a study on the relationship between women's shoe sizes and their height, and you have collected samples of female undergraduates at your university. The mean height of women in your sample is 64 inches, with a standard deviation of 2 inches. The mean shoe size is 8, with a standard deviation of 1. The correlation between the shoe size and height in your sample is .05. What is the least squares estimate of the slope parameter in your regression model?

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