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 23 37 18 23 19 5 y (gal) 45 3 31 53 3138 28 9 (a) Draw a scatter diagram for the data. Submission DataCorrect: Your answer is correct. Verify that Σx = 159, Σx2 = 4003,Σy = 238, Σy2 = 9074, and Σxy = 6003. Compute r. The data in part(a) represent average annual hours lost per person and averageannual gallons of fuel wasted per person in traffic delays. Supposethat instead of using average data for different cities, youselected one person at random from each city and measured theannual number of hours lost x for that person and the annualgallons of fuel wasted y for the same person. x (hr) 22 4 19 40 1926 2 39 y (gal) 63 8 12 54 21 35 4 71 (b) Compute x and y for bothsets 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. Correct: Your answer is correct. Look at thedefining formula for r. Why do smaller standard deviations sx andsy tend to increase the value of r? Dividing by smaller numbersresults in a smaller value. Multiplying by smaller numbers resultsin a larger value. Multiplying by smaller numbers results in asmaller value. Dividing by smaller numbers results in a largervalue. Correct: Your answer is correct. (c) Make a scatter diagramfor the second set of data pairs. Submission Data Correct: Youranswer is correct. Verify that Σx = 171, Σx2 = 5023, Σy = 268, Σy2= 13,816, and Σxy = 7892. Compute r. (d) Compare r from part (a)with r from part (b). Do the data for averages have a highercorrelation coefficient than the data for individual measurements?No, the data for averages do not have a higher correlationcoefficient than the data for individual measurements. Yes, thedata for averages have a higher correlation coefficient than thedata for individual measurements. Correct: Your answer is correct.List some reasons why you think hours lost per individual and fuelwasted per individual might vary more than the same quantitiesaveraged over all the people in a city.