Teaching Ratings CourseEval Beauty 4.72 -0.19273 5.23 -0.69937 3.72 -1.11256 3.6

Question

Teaching Ratings CourseEval Beauty 4.72 -0.19273 5.23 -0.69937 3.72 -1.11256 3.62 -1.21628 3.86 1.515 3.43 0.27438 3.41 0.70578 2.5 -0.79113 4.65 0.57222 3.16 1.27 3.49 0.25313 3.05 -0.74666 3.47 -0.32258 4.1 -1.02407 2.89 -0.03558 5.33 -0.95876 3.65 -0.82976 3.37 -0.79897 4.64 0.32516 3.86 -0.92402 3.28 -0.09039 3.55 -0.15294 4.58 -0.74551 5.1 0.72206 3.72 1.427 4.33 -0.74694 3.4 0.54792 3.56 -0.25978 4.32 -0.85315 2.85 0.65369 3.3 0.27041 4.36 -0.2264 3.13 -0.30564 4.18 0.04851 4.26 -1.68001 4.72 1.299 3.36 -1.13124 4.72 -0.1759 4.58 -0.59795 2.62 0.59345 5.32 -1.00797 3.55 0.45427 3.9 1.929 4.73 1.974 4.62 -0.19426 4.18 2.069 4.13 0.09365 3.35 -1.14218 3.62 -0.0322 4.57 -1.30909 3.58 1.229 3.85 1.463 4.78 1.189 3.46 -1.96598 3.66 1.788 2.74 -0.67853 4.1 0.50496 3.63 -0.09321 2.88 -1.15857 4.05 -0.85761 4.25 -0.61813 4.14 0.30478 4.22 1.337 2.91 0.09971 4.53 -0.89126 3.23 -1.43859 4.98 0.99835 2.34 -0.46815 3.06 0.64223 3.62 -0.65223 4.95 -0.06059 3.78 0.27147 4.54 1.109 3.71 -1.03572 3.4 1.115 3.13 -0.00961 4.59 -0.96704 4.42 -0.70804 4.71 -0.39238 3.25 1.27 5.45 -0.59538 3.4 -0.75472 2.82 0.75895 4.55 0.76112 5.12 1.961 4.32 2.092 3.52 1.136 3.37 -1.93089 3.15 2.418 3.67 -0.68629 3.89 -0.77697 4.31 0.69734 5.23 1.648 3.55 -0.16144 3.1 -0.48992 3.96 0.35831 4.32 0.03817 3.78 -0.66446 2.09 -0.84769 4.11 0.7316 the data CourseEval "Course Overall" teaching evaluation score on a scale of 1 (unsatisfactory to 5 (excellent). Beauty rating of instructor's physical appearance by a panel of six students, averaged across the six panelists, and shifted to have mean zero (i.e. the average beauty rating is O by construction). Use a statistical package of your choice to answer the following questions Suppose you are interested in estimating the following model Course Evaluation Bo B1Beauty u Run a regression of average course evaluation (Course Evaluation on the professor's beauty (Beauty). Use the Huber-White correction for heteroskedasticity for the standard errors (always do this unless instructed otherwise). (a) What is the estimated intercept? (Round your response to two decimal places) (b) What is the estimated slope? Round your response to three decimal places (c) Suppose you wanted to test the hypothesis that o 81 0 vs H The t-statistic is Round your response to two decimal places) The p-value is (Round your response to two decimal places0 Can you reject the null hypothesis at the 5% significance level (yes/no)? (d) What is the average course evaluation according to the estimated model? (Two decimal places

Explanation / Answer

after running refression on above sample data

below is the output

from above a) estimated intercept =3.88

b) estimated slope = 0.076

c) t test stat =1.04

pvalue =0.30

no we can not reject the null hypothesis.

d) avrage course evaluation =3.88

SUMMARY OUTPUT Regression Statistics Multiple R 0.104208644 R Square 0.010859442 Adjusted R Square 0.000766171 Standard Error 0.726906509 Observations 100 ANOVA df SS MS F Significance F Regression 1 0.568502884 0.568502884 1.075909041 0.302167136 Residual 98 51.78252112 0.528393073 Total 99 52.351024 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0% Intercept 3.87957499 0.072741655 53.33360922 3.27782E-74 3.735221544 4.023928437 3.735221544 4.023928437 Beauty 0.076100687 0.073367006 1.037260354 0.302167136 -0.069493749 0.221695123 -0.069493749 0.221695123

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