1. A researcher is interested to learn if there is a linearrelationship between the hours in a week spent exercising and aperson’s life satisfaction. The researchers collected the followingdata from a random sample, which included the number of hours spentexercising in a week and a ranking of life satisfaction from 1 to10 ( 1 being the lowest and 10 the highest). Participant Hours ofExercise Life Satisfaction 1 3 1 2 14 2 3 14 4 4 14 4 5 3 10 6 5 57 10 3 8 11 4 9 8 8 10 7 4 11 6 9 12 11 5 13 6 4 14 11 10 15 8 4 1615 7 17 8 4 18 8 5 19 10 4 20 5 4
a. Find the mean hours of exercise per week by theparticipants.
b. Find the variance and standard deviation of the hours ofexercise per week by the participants.
c. Run a bivariate correlation to determine if there is a linearrelationship between the hours of exercise per week and the lifesatisfaction. Report the results of the test statistic usingcorrect APA formatting. d. Run a linear regression on the data.Report the results, using correct APA formatting. Identify theamount of variation in the life satisfaction ranking that is due tothe relationship between the hours of exercise per week and thelife satisfaction (Hint: the R2 value) e. Report a model of thelinear relationship between the two variables using the regressionline formula.
