Question: (10 points) Two variables, Y and X, are believed to be strongly nonlinearly related. A power transformation Z = y^ was thought to make the

(10 points) Two variables, Y and X, are believed

(10 points) Two variables, Y and X, are believed to be strongly nonlinearly related. A power transformation Z = y^ was thought to make the relationship between X and Z linear. The following table gives the value of the correlation coefficient between Z and X for some values of 2.000 1.000 0.500 0.001 Correlation-0.665 -0.777 -0.852 -0.930 -0.001 0.930 -0.500-1.000 0.985 0.999 -2.000 0.943 (a) What is the correlation coefficient between Y and X? Explain. (b) Observing the trend in the above table, what is the best easy to explain value of l? Explain. (c) Using your choice of 1 in (b), write the equation that relates Y to X. Explain. Using your choice of 1 in (b), suppose that the fitted values ar found to be = 3, what is the corresponding value of hatY

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