Dangers of not looking at a plot. Table 4.1 (page 189) presents four sets of data prepared by the statistician Frank Anscombe to illustrate the dangers of calculating without first plotting the data.
(a) Use x to predict y for each of the four data sets. Find the predicted values and residuals for each of the four regression equations.
(b) Plot the residuals versus x for each of the four data sets
(c) Write a summary of what the residuals tell you for each data set and explain how the residuals help you to understand these data.
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