a) The symbol and value of the correlation coefficient are as follows:     Round final answer to 2 decimal places.     Select an answer r R² ρ ŷ y p̂ X̄ p μ σ s  =      Interpret this value: There is a strong Select an answer positive negative  Select an answer linear quadratic bell-shaped uniform  relation between weight and mileage for cars. b) The symbol and value of the coefficient of determination are as follows:     Round final answer to 2 decimal places.     Select an answer r r² ρ ŷ y p̂ X̄ p μ σ  =       Interpret this value: About  % of the Select an answer mean mileage variation in mileage mean weight variation in weight  Select an answer can be cannot be  explained by the linear model on weight

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The weight of a car can influence the mileage that the car can obtain. A random sample of 19 cars was taken and the weight (in pounds) and mileage (in mpg) were recorded and are in the table below.

X, weight Y, mileage
4500 19.5
3000 32.2
3500 28
3500 31.3
4500 17.2
4000 23.4
4000 23.6
3000 32.2
2500 40.9
3500 28
5500 13.2
2250 41.1
3000 31.4
4000 23.6
2750 46.9
3500 28
4000 23.1
4500 17
3500 32.6

a) The symbol and value of the correlation coefficient are as follows:

    Round final answer to 2 decimal places.

    Select an answer r R² ρ ŷ y p̂ X̄ p μ σ s  = 

    Interpret this value:

  • There is a strong Select an answer positive negative  Select an answer linear quadratic bell-shaped uniform  relation between weight and mileage for cars.

b) The symbol and value of the coefficient of determination are as follows:

    Round final answer to 2 decimal places.

    Select an answer r r² ρ ŷ y p̂ X̄ p μ σ  = 

     Interpret this value:

  • About  % of the Select an answer mean mileage variation in mileage mean weight variation in weight  Select an answer can be cannot be  explained by the linear model on weight
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