A manufacturer of laundry detergent was interested in testing a new product prior to market release. One area of concern was the relationship between the height of the deter-gent suds in a washing machine as a function of the amount of detergent added in the wash cycle. For a standard- size washing machine tub filled to the full level, the manufacturer made ­random ­assignments of amounts of detergent and tested them on the washing machine. The data appear next.

a. Plot the data.
b. Fit a linear regression model.
c. Use a residual plot to investigate possible lack of fit.

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Height,y Amount, x 28.1,276 32.3,332 34.8,35.0 38.2.39.4 435,468 10