Please note that this question consists of seven parts. Use…
Please note that this question consists of seven parts. Use the MINITAB outputs provided to you to answer the question. Show all your work/explanation. Just giving the answer without adequate explanation/work may result in zero for the question. A random sample of 15 students was collected by a researcher to investigate the relationship between a student’s emotional stability score (EmStability, X) and the student’s score on an achievement test (Achievement, Y). The researcher is interested in developing a regression model to predict the achievement (Achievement) based on the emotional stability (EmStability) using these data. Partial output of the regression analysis is provided below: Write the equation of the least squares regression line for predicting the Achievement based on the EmStability. The researcher is interested in testing if the Achievement increases with increment in the EmStability. Write the appropriate null and alternative hypothesis you would formulate to answer this question. Use the proper notations when setting up the H_0 and H_a. Calculate the test statistic. What is the degrees of freedom of distribution for the test statistic you calculated in part 3? Calculate the p-value. You may use the table or MINITAB to find the final p value; however, you need to write the probability statement for the p-value for this test. Write the final conclusion in the context of the problem. Use 5% significance level. What is the predicted Achievement score when the EmStability is 19? Clearly show your work.