The linear regression equation which models the data, obtained using technology such as a linear regression calculator is :
The predicted or approximate values obtained using the model are given below :
A.)
Approximate mileage for an automobile that costs $15500 can be calculated thus :
Substituting y = 15500 into the equation :
15500 = -0.18x + 19716.81
0.18x = 19716.81 - 15500
0.18x = 4216.81
x = 4216.81 / 0.18
x = 23,426.722
Hence, mileage is about 23427 miles.
B.)
Approximate the predicted price of an automobile with 6000 miles :
Substituting x = 6000 into the equation :
y = -0.18x + 19716.81
y = -0.18(6000) + 19716.81
y = 18636.81
Hence, the price of the car would be about $18637.
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