Fuming because you are stuck in traffic? Roadway congestion is acostly item, both in time wasted and fuel wasted. Let x representthe average annual hours per person spent in traffic delays and lety represent the average annual gallons of fuel wasted per person intraffic delays. A random sample of eight cities showed thefollowing data. x (hr) 29 5 22 38 23 25 16 5 y (gal) 49 3 35 55 3137 27 9 (a) Draw a scatter diagram for the data. Get Flash PlayerFlash Player version 10 or higher is required for this question.You can get Flash Player free from Adobe's website. Verify that Σx= 163, Σx2 = 4229, Σy = 246, Σy2 = 9800, and Σxy = 6411. Compute r.The data in part (a) represent average annual hours lost per personand average annual gallons of fuel wasted per person in trafficdelays. Suppose that instead of using average data for differentcities, you selected one person at random from each city andmeasured the annual number of hours lost x for that person and theannual gallons of fuel wasted y for the same person. x (hr) 22 4 1943 16 25 2 39 y (gal) 65 8 10 52 25 34 4 71 (b) Compute x and y forboth sets of data pairs and compare the averages. x y Data 1 Data 2Compute the sample standard deviations sx and sy for both sets ofdata pairs and compare the standard deviations. sx sy Data 1 Data 2In which set are the standard deviations for x and y larger? Thestandard deviations for x and y are larger for the first set ofdata. The standard deviations for x and y are larger for the secondset of data. The standard deviations for x and y are the same forboth sets of data. Look at the defining formula for r. Why dosmaller standard deviations sx and sy tend to increase the value ofr? Multiplying by smaller numbers results in a smaller value.Dividing by smaller numbers results in a larger value. Multiplyingby smaller numbers results in a larger value. Dividing by smallernumbers results in a smaller value. (c) Make a scatter diagram forthe second set of data pairs. Get Flash Player Flash Player version10 or higher is required for this question. You can get FlashPlayer free from Adobe's website. Verify that Σx = 170, Σx2 = 5116,Σy = 269, Σy2 = 13,931, and Σxy = 7915. Compute r. (d) Compare rfrom part (a) with r from part (b). Do the data for averages have ahigher correlation coefficient than the data for individualmeasurements? Yes, the data for averages have a higher correlationcoefficient than the data for individual measurements. No, the datafor averages do not have a higher correlation coefficient than thedata for individual measurements. List some reasons why you thinkhours lost per individual and fuel wasted per individual might varymore than the same quantities averaged over all the people in acity. This answer has not been graded yet.