Question 13.70

70. Challenge Exercise. Suppose a regression analysis of on was found to be significant (that is, the null hypothesis was rejected) and the slope . Consider the observation , which represents the data value for the maximum value of in the data set. Suppose the residual for is negative. What if we increase max by an arbitrary amount so that the new data value is ? (All other data values in the data set are unchanged.) How will this increase affect the following measures? Will they increase, decrease, or remain unchanged, or is there insufficient information to determine the effect?

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