A test of 9 micro-size radar detectors included laboratory evaluation as well as the warning distance provided

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A test of 9 micro-size radar detectors included laboratory evaluation as well as the warning distance provided under various driving conditions. The following data represent over-the-hill trap warning distance, typical price, x-band lab sensitivity, and weight.

Over-the-Hill Typical Laboratory Trap Warning Distance, y Price, Sensitivity, Weight, Detector X1 X2 Xз 108 dBm/cm? 0.6

a. Determine the multiple regression equation and interpret the partial regression coefficients.
b. Determine the 95% confidence interval for the population partial regression coefficients, β1, β2, and β3.
c. Interpret the coefficient of determination and the result of each significance test done by the computer.
d. Analyze the residuals. Does the analysis support the applicability of the multiple regression model to these data?

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