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Repeat problem 1 for the data of problem 3.
Problem 1Carry out an F test for a linear relationship in problem 2. Compare your results with those of the t test.
Problem 2Recently, research efforts have focused on the problem of predicting a manufacturer's market share by using information on the quality of its product. Suppose that the following data are available on market share, in percentage (Y ), and product quality, on a scale of 0 to 100, determined by an objective evaluation procedure (X ):
X: 27 39 73 66 33 43 47 55 60 68 70 75 82Y: 2 3 10 9 4 6 5 8 7 9 10 13 12
Estimate the simple linear regression relationship between market share and product quality rating.
Problem 3For the data given below, regress one variable on the other. Is there an implication of causality, or are both variables affected by a third?
Sample of annual transactions ($ millions)
Year
Credit card
Online debit card
2002
156
211
2003
204
280
2004
279
386
2005
472
551
2006
822
684
2007
1,213
905
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