A study found a correlation of r = -0.56 between hours per day spent in social media and hours per day spent exercising. That is, the more hours spent in social media the less hours spent exercising per day. Which of the following statements is most accurate? O a. There is a cause-and-effect relationship between hours spent in social media and a decline in hours spent exercising. O b. About 31% of the variation in hours spent exercising can be explained by hours spent in social media. O c. 56% of the hours spent exercising can be explained by the number of hours watching television. O d. A person who spent time in social media will exercise more. O e. For each hour spent in social media, the predicted decrease in hours spent exercising is 0.56 hrs.Assume that the computed correlation between a and y is -0.13. Suppose we define new variable s = - and t = y + 6. What is the correlation between s and t? O a. -0.13 O b. 0.26 O c. -0.26 O d. 0.13 O e. 0Suppose r = -0.568 and sample size n = 25. Use significance level of 0.05. Decide whether or not the given r represents a significant linear correlation. O a. Critical values: r = #0.396, no significant linear correlation O b. Critical values: r = #0.487, no significant linear correlation O c. Critical values: r = +0.396, significant linear correlation O d. Critical values: r = +0.487, significant linear correlationThe table below shows the first and second problem set scores in Stat 102 class. Problem Set 1 63 32 87 73 60 63 83 80 98 85 Problem Set 2 51 21 52 90 83 54 73 85 83 46 What percent of variation in second problem set scores is explained by regression of 2nd Problem Set score on ist Problem Set score? Note: Two decimal places. If your answer is 90.25% then write 90.25 on the space provided for your response. Answer: 30.2Nine pairs of data yield r = 0.867 and the regression equation y = 19.4 + 0.93x. Also, y = 64.7. What is the best predicted value of y for c = 44? Note: Use two decimal places.