Setting prices is rarely an easy task. A low price usually results in higher sales, but there
Question:
a. Find the regression equation of the form Predicted Profit = a + b(Price).
b. Test to see whether or not the regression is significant. Is this result reasonable?
c. To within approximately how many dollars can profit be predicted from price in this way?
d. Examine a diagnostic plot to see if there is any further structure remaining that would help you explain profit based on price. Describe the structure that you see. e. Create another X variable using the squared price values and find the multiple regression equation to predict profit from price and squared price.
f. To within approximately how many dollars can profit be predicted from price using these two X variables?
g. Test to see whether a significant proportion of the variation in profit can be explained by price and squared price taken together.
h. Find the price at which the predicted profit is maximized. Compare this to the price at which the observed profit was the highest.
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