The weight of a car can influence the mileage that the car can obtain. A random sample of 17 cars was taken and the weight (in pounds) and mileage (in mpg) were recorded and are in the table below. X, weight Y, mileage 4000 23.6 4000 23.4 2500 40.9 3500 28 2750 46.9 3000 32.2 3000 31.4 4500 17.2 2250 38.9 3500 31.3 3500 32.6 2750 36.3 5500 13.2 3000 31.4 3500 31.3 2250 53.3 3500 28 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:     Select an answer Fail to Reject the Null Accept the Null Reject the Null

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The weight of a car can influence the mileage that the car can obtain. A random sample of 17 cars was taken and the weight (in pounds) and mileage (in mpg) were recorded and are in the table below.

X, weight Y, mileage
4000 23.6
4000 23.4
2500 40.9
3500 28
2750 46.9
3000 32.2
3000 31.4
4500 17.2
2250 38.9
3500 31.3
3500 32.6
2750 36.3
5500 13.2
3000 31.4
3500 31.3
2250 53.3
3500 28

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:

   




Select an answer Fail to Reject the Null Accept the Null Reject the Null 

 
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