Ho: b1 = 0.00 H1: b1 0.00 ≠ Test each individually with ratio of regression coefficient to standard error of regression coefficient: b1 / se b1 = t If t-ratio is significant, then this suggests the regression coefficient is sufficiently different from 0.00 (as specified by the null) that we believe the difference from 0.00 is greater than would be expected by chance. SPSS Results Coefficientsa Model Unstandardized Coefficients Standardized t Sig. 95.0% Confidence Interval for B Coefficients B Std. Error Beta Lower Bound Bound (Constant) 7.676 6.760 1.135 .299 -8.866 24.218 production_costs 3.662 1.118 .421 3.276 .017 .927 6.397 1 promotion_costs 7.621 1.657 .559 4.598 .004 3.566 11.676 book_sales .828 .539 .127 1.536 .175 -.491 2.148 a. Dependent Variable: boxoffice_sales b1: production is this significant at .05 level? Note that is the p-value for the – “Sig.” t-test in regression in the table above. P = .017, which is less than .05, so reject Ho b2: promotions is this significant at .05 level? – P = .004, so reject Ho b3: book sales is significant at .05 level? – P = .175, so fail to reject We could also use the confidence interval for hypothesis testing, how?
Ho: b1 = 0.00 H1: b1 ≠ 0.00 Test each individually with ratio of regression coefficient to standard error of regression coefficient: b1 / se b1 = t If t-ratio is significant, then this suggests the regression coefficient is sufficiently different from 0.00 (as specified by the null) that we believe the difference from 0.00 is greater than would be expected by chance. SPSS Results Coefficientsa Model Unstandardized Coefficients Standardized Coefficients t Sig. 95.0% Confidence Interval for B B Std. Error Beta Lower Bound Bound 1 (Constant) 7.676 6.760 1.135 .299 -8.866 24.218 production_costs 3.662 1.118 .421 3.276 .017 .927 6.397 promotion_costs 7.621 1.657 .559 4.598 .004 3.566 11.676 book_sales .828 .539 .127 1.536 .175 -.491 2.148 a. Dependent Variable: boxoffice_sales b1: production – is this significant at .05 level? Note that “Sig.” is the p-value for the t-test in regression in the table above. P = .017, which is less than .05, so reject Ho b2: promotions – is this significant at .05 level? P = .004, so reject Ho b3: book sales – is significant at .05 level? P = .175, so fail to reject We could also use the confidence interval for hypothesis testing, how?
EDUR8131Chat11-Notes8b.docx