Fitting a straight line to a set of data yields the prediction line Y_i = 4+9X_i

Question

Fitting a straight line to a set of data yields the prediction line Y_i = 4+9X_i. The Values of X used to find the prediction line range from 4 to 35. 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 34? a. Should this model be used to predict the mean value of Y when X equals 5? Yes No Not enough information b. Should this model be used to predict the mean value of Y when X equals -5? Yes No Not enough information c. Should this model be used to predict the mean value of Y when X equals 0? Yes No Not enough information d. Should this model be used to predict the mean value of Y when X equals 34? Yes No Not enough information

Explanation / Answer

a) Since prediction interval lies between 4 to 35, therefore, 5 cannot be used to predict the mean value of Y. Yhat=49, It exceed the range. ans: No.

b) The value -5 can not be used, the predicted mean value of Y will be beyond the range (Yhat=-41).Ans:No

c) The value, x=0 is suitable in predicting the mean value of Y, as it will be withing the range (Yhat=4). Ans:Yes.

d) The value x=34, exceed the given range. (Yhat=310) Ans:No

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