Find the best fitting line and r2 for replicate 2 and then test whether the diet has a significant effect. Compare with the previous problem.
Linear regression has important connections with other techniques in statistics, such as testing whether two populations differ. In the following data set, the independent variable takes on only two values. Find the best fitting line and r2, and then test whether the two sets of points differ in their mean distribution using the techniques in Section 8.6. Assume that the data are normally distributed with known variance of 25. In each case, graph the regression line and the data.

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Diet Size in Replicate 1 9.51 20.40 14.50 20.76 17.42 23.34 28.20 30.12 24.12 31.43 33.46 29.70 Size in Replicate 2 25.95 19.26 20.05 27.31 21.84 19.45 22.52 25.32 24.04 23.53 28.39 25.17