Section 2: Correlation and Regression ([19) A survey was administered to 82 psychology students at Langara. We surveyed the following questions Rated from 1-7. 1= Strongly disagree, 4= neither agree nor disagree, 7=strongly agree MeanGrade: \"What is your GPA at Langara JE= 73, s=12 HrsSleep: \"On average, how many hours do you sleep each night\": JE= 6.8, s=1.2 Motivation: \"Do you feel motivated to succeed in your courses at Langara \" 3 f: 4.5, s:0.9 Exercise: \"On average, how many hours a week do you exercise \" 3?: 5.], s2].8 Here are some correlations: MeanGrade and HrsSleep: r(80)= .25 MeanGrade and Motivation: r(80) = .38 MeanGrade and exercise: r(80) =23 a. State the null hypothesis for a correlation (1 point) b, Write a sentence or two to interpret each correlation above as completely as you can. You should indicate whether or not the correlation is signicant, the size and direction of the relationship. You should also explain what the correlation means. (6 points) c. For each correlation above, what percentage in meangrade is accounted for by the other variables. In other words please report the coefcient of determination as a percentage for each correlation above (3 points) d, Let's shift our thinking from correlation to regression. Build two unstandardized linear regression equations. One using motivation to predict mean grade, and one using exercise to predict mean grade. Please show your work. Remember the correct symbol for a 'predicted Y' is to use (6 points) c. Using the regression equations above predict the meangrade for a student who says they 'agree' with the Motivation survey question (ie. They rated them selves a 6). Then predict the mean grade for a student who reported exercising an average of 3 hours per week. Show your work. (2 points) r. The standard error of the estimate for the regression between motivation and meangrade is 5.13. What does this value represent? (1 point)