Is there a relationship between buying an expensive car and the level of satisfaction with the car? To answer this question, a consumer researcher randomly sampled 15 individuals, asked them about the price of their car, and had them fill out a satisfaction survey. The survey was scored on a scale from 0 to 100 , where higher scores indicated a higher degree of satisfaction with the vehicle. This data is provided in Table 7.10.

a. Which variable is the response variable and which is the predictor variable?

b. Draw a scatterplot and find the equation of the line of best fit that models the relationship between the price paid for a vehicle and the level of satisfaction.

c. Interpret whether or not you believe there is a significant relationship between the price paid for a vehicle and the level of satisfaction.

d. Find and interpret the coefficient of determination.

e. Check any relevant model assumptions and identify any outliers.

Table 7.10.

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Price (in Dollars) and the Level of Satisfaction for a Random Sample of 15 Individuals Price (in Dollars) 38,650 Satisfaction 89 45,210 18,690 23,340 99,850 63,920 19,830 56,674 19,250 23,674 34,250 16,584 26,984 37,684 98,684 75 83 76 90 40 45 79 93 69 47 39 85 85 R4 4 2 2 8 9 8 2 2 5 37