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14. To investigate the relationship between yield of potatoes, y, and the level of fertilizer application,...

14. To investigate the relationship between yield of potatoes, y, and the level of fertilizer application, x, an experimenter divides a field into eight plots of equal size and applies differing amounts of fertilizer to each. The yield of potatoes (in pounds) and the fertilizer application (in pounds) are recorded for each plot. The data are as follows: x 1 1.5 2 2.5, 3 3.5 4 4.5 y 25 31 27 28 36 35 32 34 a) Test at the 5% significance level if there is a linear correlation. b) Find the least squares regression equation. c) What is the best estimate for the yield of potatoes if 3.2 pounds of fertilizer is applied?

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