Windmill Output. Where we considered the relationship between a windmill’s direct current (DC) output and wind speed. a. Obtain a scatterplot of DC output versus speed. In view of your scatterplot, what power transformations of DC output and/or speed would you suggest in order to straighten the scatterplot? b. Obtain a draftsman plot of appropriate power transformations of DC output versus appropriate transformations of speed. What transformations would you suggest be used in an attempt to straighten the scatterplot? c. Based on your analysis in part (b), select a power transformation of DC output and/or of speed. Perform a regression analysis for these transformed variables. Obtain a plot of residuals versus fitted values and a normal probability plot of residuals. Perform a residual analysis to assess the assumptions of linearity of the regression equation, constancy of the conditional standard deviations, and normality of the conditional distributions. Check for outliers and influential observations. d. Does your analysis in part (c) reveal any violations of the assumptions for regression inferences? Explain your answer. e. For the regression equation of the transformed variables obtained in part (c), write the regression equation relating DC output to wind speed.

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Windmill Output. Where we considered the relationship between a windmill’s direct current (DC) output and wind speed.

a. Obtain a scatterplot of DC output versus speed. In view of your scatterplot, what power transformations of DC output and/or speed would you suggest in order to straighten the scatterplot?

b. Obtain a draftsman plot of appropriate power transformations of DC output versus appropriate transformations of speed. What transformations would you suggest be used in an attempt to straighten the scatterplot?

c. Based on your analysis in part (b), select a power transformation of DC output and/or of speed. Perform a regression analysis for these transformed variables. Obtain a plot of residuals versus fitted values and a normal probability plot of residuals. Perform a residual analysis to assess the assumptions of linearity of the regression equation, constancy of the conditional standard deviations, and normality of the conditional distributions. Check for outliers and influential observations.

d. Does your analysis in part (c) reveal any violations of the assumptions for regression inferences? Explain your answer.

e. For the regression equation of the transformed variables obtained in part (c), write the regression equation relating DC output to wind speed.

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