*3. 17. Sales growth. A marketing researcher studied annual sales of a product that had been introduced 10 years ago. The data are as follows, where X is the year (coded) and Y is sales in thousands of units: 1': 1 2 3 4 5 6 7 8 9 10 X;: 0 1 2 3 4 5 6 7 8 9 Y;: 98 1 35 1 62 1 78 221 232 283 300 374 395 a. Prepare a scatter plot of the data. Does a linear relation appear adequate here? b. Use the Box-Cox procedure and standardization (3.36) to nd an appropriate power transfor- mation of Y. Evaluate SSE for A = .3, .4, .5, .6, .7. What transformation of Y is suggested? c. Use the transformation Y ' = x/ Y and obtain the estimated linear regression function for the transformed data. (1. Plot the estimated regression line and the transformed data. Does the regression line appear to be a good t to the transformed data? e. Obtain the residuals and plot them against the tted values. Also prepare a normal probability plot. What do your plots show? f. Express the estimated regression function in the original units