Applied Statistics Techniques, Homework #1 For questions, you can calculate sample covariance, sample variance, sample mean, z values, t values, and F values by using any statistical software. However, please note that you need to do the rest of the calculations by using a portable calculator in preparation for exams. Finally, please show all the calculation processes for partial points. Question 1 for the survey data. (25 points) ? Provide sample Pearson correlation coefficient for “intimacy” and “commit”. (5 points) ? Obtain 90% confidence interval of the population Pearson correlation coefficient. (10 points) ? Test the null hypothesis, H : , H : under the desired significance level, 0 1 XXXXXXXXXXpoints) Question 2 for the salary data. (55 points) ? ,? ? Estimate in the case that the response is “salary” and the predictor is “years”. (15 1 0 points) ? Obtain ANOVA table. (20 points) ? Obtain 90% confidence interval of ? XXXXXXXXXXpoints) 1 ? Test the null hypothesis, H : H : under the desired significance level, 0 1 XXXXXXXXXXpoints) Question 3 for the hypothetical data. (20 points) ? Obtain grand mean and unadjusted means for the ANCOVA model where covariate, ”xc”, Treatment, “a”, response, “y” are considered. (5 points) ? Calculate adjusted means given the estimates below. (15 points) Coefficients: (Intercept XXXXXXXXXXxc XXXXXXXXXXa XXXXXXXXXXa3 XXXXXXXXXX XXXXXXXXXX XXXXXXXXXX XXXXXXXXXX
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