【正文】
0: ?1 = 0 H1: ?1 ? 0 ? ? .05 df ? 5 2 = 3 Critical value: Statistic: Determine: Conclusion: t b S b ? ? ? ? ? ? 1 1 1 0 70 0 0 1915 3 655 ? . . . Reject at ? = There is evidence of a relationship. t 0 .025 Reject Reject .025 17 Multiple Regression Model There exists linear relationship among an dependent variable and two or more than two independent variables. Y X X X i i i P Pi i ? ? ? ? ? ? ? ? ? ? ? 0 1 1 2 2 ? slope of population intercept of population Y random error Dependent Variable Independent Variables 18 Example: New York Times You work in the advertisement department of New York Times(NYT). You will find to what extent do ads size(square inch ) and publishing volume (thousand) influence the response to ads(hundred). You have collected the following data: response size volume 1 1 2 4 8 8 1 3 1 3 5 7 2 6 4 4 10 6 19 Example (NYT) Computer Output Parameter Estimates Parameter Standard T for H0: Variable DF Estimate Error Param=0 Prob|T| INTERCEP 1 ADSIZE 1 CIRC 1 b2 b0 bP b1 20 Interpretation of Coefficients (b1) If the publishing volume remains unchanged,when ads size increases one square inch, the response is expected to increase hundred times. (b2) If ads size remains unchanged, when publishing volume increases one thousand, the response is expected to in crease hundr