How to test whether females have a different intercept and/or…
Question How to test whether females have a different intercept and/or… How to test whether females have a different intercept and/or partial slope coefficient with regard to experience. As is standard, the null hypothesis is the “no effect” or “no difference” hypothesis. So, in this case, the null hypothesis is: 0: 13= 14=0do this the “long way” by saving the unrestricted residual sum of squares from Part 1. Then, impose the restriction above and re‐estimate the model to get the restricted residual sum of squares. Third, compute the F‐statistic using the unrestricted and restricted sum of squares from the unrestricted model (Part 1) and the restricted model (Part 3). Compare this F‐statistic to the appropriate F critical value or use R to get the p‐value. Can you reject the null hypothesis above and accept the alternative hypothesis of a different intercept and/or partial slope for females at conventional significance levels? Use ANOVA() to let R do the entire test with this one line of code to check your work. This is my answer for the first part and the second part Part1:Image transcription textResiduals: Min 10 Median 30 Max 0. 99203 -0. 24565 0. 00345 0. 24127 1.06088 Coefficients : Estimate Std.Error t value Pr(>Itl) (Intercept) 0. 570109 0. 089862 6. 344 3.27e-10 *** Looks 0. 041214 0. 015552 2. 6500. 008164 * * union 0. 166554 0. 023508 7.085 2.50e-12 * ** goodhealth 0. 112004 0. 043375 2. 5… Show more… Show morePart 2:the estimated coefficient for “small city”. is 0.094190 which is significant since it has a p-value of 0.000102 which is less than the coefficient. the small city is positively correlated to the model. A positive coefficient indicates that the mean of the dependent variable tends to rise when the value of the “small city variable rises while holding other variables constant.looks has a coefficient of 0.041214 which is significant since its p-value is 0.008164 which is less than the estimate. It is positively correlated to the model. A positive coefficient indicates that the mean of the dependent variable tends to rise when the value of the looks variable rises while holding other variables constant. Math Statistics and Probability ECON 165 Share QuestionEmailCopy link Comments (0)
