A windmill is used to generate direct current. Data are collected on 45 different days to determine the relationship between wind speed in mi/h (x) and current in kA (y). The data are presented in the following table.

a. Compute the least-squares line for predicting y from x. Make a plot of residuals versus fitted values.

b. Compute the least-squares line for predicting y from ln x. Make a plot of residuals versus fitted values.

c. Compute the least-squares line for predicting ln y from x. Make a plot of residuals versus fitted values.

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Wind Wind Wind Speed Speed Speed Day Current Day Current Day Current 4.2 1.4 3.7 5.9 2.1 1.9 16 31 2.6 1.4 7.7 2.8 0.7 17 2.2 32 3 6.6 2.2 18 6.0 2.6 33 6.1 2.4 4 4.7 2.0 19 10.7 3.2 34 5.5 2.2 35 5.3 2.6 1.1 20 2.3 4.7 2.3 5.8 36 37 6. 2.6 21 5.1 1.9 4.0 2.0 1.8 0.3 22 4.9 2.3 2.3 1.2 11.9 5.8 2.3 23 8.3 3.1 38 3.0 9. 7.3 2.6 24 7.1 2.3 39 8.6 2.5 7.1 10 2.7 25 9.2 2.9 40 5.6 2.1 11 6.4 2.4 26 4.4 1.8 41 4.2 1.7 12 2.2 2.6 4.6 1.6 27 28 8.0 10.5 42 43 6.2 7.7 2.3 2.6 13 1.1 3.0 14 2.3 1.5 29 5.1 2.1 44 6.6 2.9 4.2 2.5 15 1.5 30 5.8 45 6.9 2.6