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E270 HW7

E270 HW7 - PROBLEM SET 7 ESSION Next THREE questions are...

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PROBLEM SET 7 RESSION Next THREE questions are based on the following data x y 1 3 2 7 3 5 4 11 5 14 1 Which of the following is the correct scatter diagram for this data set? 2 The estimated regression equation for the data is: a y = 0.1 + 1.6x ̂ b y = 0.2 + 2.6x ̂ c y = 0.3 + 3.6x ̂ d y = 0.4 + 4.6x ̂ 3 a 7.6 b 8.6 c 9.6 d 10.6 Next THREE questions are based on the following x y 2 25 3 25 5 20 1 30 8 16 4 The estimated regression equation for the data is: a y = 26.33 − 1.68x ̂ b y = 28.33 − 1.78x ̂ c y = 30.33 − 1.88x ̂ d y = 32.33 − 1.98x ̂ 5 a 19.05 b 18.05 c 17.05 d 16.05 6 Media Brand Expenditures (\$) Case Sales Coca-Cola Classic 131.3 1,929.20 Pepsi-Cola 92.4 1,384.60 Diet Coke 60.4 811.4 Sprite 55.7 541.5 Dr. Pepper 40.2 536.9 Mountain Dew 29 535.6 7-Up 11.6 219.5 The estimated regression equation for the data is: a y = −15.42 + 14.42x. A one million dollar in media expenditures will increase sales by approximately 14.42 million. ̂ b y = −14.42 + 13.42x. A one million dollar in media expenditures will increase sales by approximately 13.42 million. ̂ c y = −13.42 + 12.42x. A one million dollar in media expenditures will increase sales by approximately 12.42 million. ̂ d y = −12.42 + 11.42x. A one million dollar in media expenditures will increase sales by approximately 11.42 million. ̂ 7 a total sales would be about 954 b total sales would be about 974 c total sales would be about 994. d total sales would be about 1,014. 8 Percentage Airline on Time Complaints Southwest 81.8 0.21 Continental 76.6 0.58 Northwest 76.6 0.85 US Airways 75.7 0.68 United 73.8 0.74 American 72.2 0.93 Delta 71.2 0.72 America West 70.8 1.22 TWA 68.5 1.25 a b c d 9 a 0.9 b 0.8 c 0.6 d 0.4 Next FOUR questions are based on the following Given are five observations for two variables, x and y. x y 1 3 2 7 3 5 4 11 5 14 10 The SSE for the model is: a 14.4 b 13.4 c 12.4 d 11.4 11 The SST for the model is: a 80 b 75 c 70 d 65 12 The SSR for the model is: a 53.6 b 55.6 c 61.6 d 67.6 13 a 0.794 b 0.821 c 0.845 d 0.895 Next FOUR questions are based on the following Production Volume Total Cost (Units) (\$) 400 4,000 450 5,000 550 5,400 600 5,900 700 6,400 750 7,000 14 a y = 1346.67 + 8.6x ̂ b y = 1246.67 + 7.6x ̂ c y = 1146.67 + 6.6x ̂ d y = 1046.67 + 5.6x ̂ 15 What is the additional cost per unit produced? a ### b \$6.60 c ### d \$7.60 16 a \$5,016.67 b ### c \$5,036.67 d ### 17 What percentage of the variation in total cost can be explained by production volume? a 0.8587 b 0.8987 c 0.9187 d 0.9587 Change in 2-Year Change in Executive Return to Equity Compensation (%) (%) Dow Chemical 201.3 18 Rohm & Haas 146.5 28 Morton International 76.7 10 Union Carbide 158.2 28 Praxair -34.9 15 Air Products & Chemicals 73.2 -9 Eastman Chemical -7.9 -20 18 a y = −0.0154 + 0.1058x ̂ b y = −0.0165 + 0.1146x ̂ c y = −1.0198 + 0.1258x ̂ d y = −1.1485 + 0.2263x ̂ 19 What percentage of the change in executive compensation is explained by 2-year change in return in equity?
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