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Fitting a straight line to a set of data yields the prediction line Y 4+3X The v

ID: 3198902 • Letter: F

Question

Fitting a straight line to a set of data yields the prediction line Y 4+3X The values of X used to find the prediction line range from 4 to 26 a. Should this model be used to predict the mean value of Y when X equals 5? b. Should this model be used to predict the mean value of Y when X equals -5? c. Should this model be used to predict the mean value of Y when X equals 0? d. Should this model be used to predict the mean value of Y when X equals 25? a. Should this model be used to predict the mean value of Y when X equals 5? ?Yes O No 0 Not enough information b. Should this model be used to predict the mean value of Y when X equals 5? ?Yes O No O Not enough information c. Should this model be used to predict the mean value of Y when X equals 0? ?Yes O No 0 Not enough information Click to select your answer.

Explanation / Answer

Since the model has been calibrated for the x-values in the range of 4 to 26

General Rule: If the data point lies in the range then you can use the model otherwise you should not use the model

a) x = 5

Yes, since it lies in the range of [4,26]

b) x = -5

No, since it doesn't lie in the range of [4,26]

c) x =0

No, since it doesn't lie in the range of [4,26]

d) x = 25

Yes, since it lies in the range of [4,26]