A lap top computer company has determined that the demand for its laptop compute

Question

A lap top computer company has determined that the demand for its laptop computer is very much related to the size of the student population in a location. They have identified eight different locations and collected data on student population size and num er of computers so n se cation see elow nor er ed the demand for computers (in hundreds) on the basis of student population size (in hundreds) Locations Computer demand (in hundreds) Student size (in hundreds) 4 8 10 169114 11 1 153 169 197 181 185 196 205 229 a) Using the given data, the least-squares regression equation for predicting the demand for computers is (round your responses to two decimal places) +X where y Estimated Dependent Variable and xIndependent Variable b) The coefficient of correlation for the least-squares regression model(round your response to two decimal places. For the least-squares model, the standard error of the estimate $(round your response to two decimal places)

Explanation / Answer

a)

The general form of the linear regression equation is

y = b0 + b1 X

y = -8.48 + 0.11X

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b)

The coefficient of correlation for the least squares regression model = 0.80

The standard error of the estimate = 1.98

SUMMARY OUTPUT Regression Statistics Multiple R 0.804153 R Square 0.646661 Adjusted R Square 0.587771 Standard Error 1.984504 Observations 8 ANOVA df SS MS F Significance F Regression 1 43.24547177 43.24547 10.98087 0.016129 Residual 6 23.62952823 3.938255 Total 7 66.875 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0% Intercept -8.47818 6.182002253 -1.37143 0.219317 -23.605 6.648634 -23.605 6.648634 X Variable 1 0.107476 0.032433307 3.31374 0.016129 0.028114 0.186837 0.028114 0.186837

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