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: 2 4 5 7 9 10 2 4 6 Y: 98 35162 178 221 232 283 300 374 395 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 find an appropriate power transfor- mation of Y. Evaluate SSE for λ = .3, .4, .5, .6, .7, what transformation of Y is suggested? c. Use the transformation Y' = Vy and obtain the estimated linear regression function for the d. Plot the estimated regression line and the transformed data. Does the regression line appear e. Obtain the residuals and plot them against the fitted values. Also prepare a normal probability f. Express the estimated regression function in the original units transformed data. to be a good fit to the transformed data? plot. What do your plots show?