Question: We are interested in finding the linear relation between the number of widgets purchased at one time and the cost per widget. The following data

We are interested in finding the linear relation between the number of widgets purchased at one time and the cost per widget. The following data has been obtained:

X: Number of widgets purchased - 1, 3, 6, 10, 15 Y:

X: Number of widgets purchased - 1, 3, 6, 10, 15 Y: Cost per widget(in dollars) - 55, 52, 46, 32, 25 Suppose the regression line is y = -2.5x + 60. We compute the average price per widget if 30 are purchased and observe which of the following? ^ a. y = 15 dollars; obviously, we are mistaken; the prediction y is actually +15 dollars. ^ y = 15 dollars, which seems reasonable judging by the data. y = -15 dollars, which is obvious nonsense. The regression line must be incorrect. b. C. ^ d. y=-15 dollars, which is obvious nonsense. This reminds us that predicting Y outside the range of X values in our data is a very poor practice.

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