The accompanying data on x = true density (kg/mm³) and y = moisture content (% d. b.) was read from a plot in the article “Physical Properties of Cumin Seed” (J. Agric. Engr. Res. 1996: 93–98).

The equation of the least squares line is y = 1008.14 + 6.19268x (this differs very slightly from the equation given in the article); s_e = 7.265 and R² = .968.

a. Carry out a test of model utility and comment.
b. Compute the values of the residuals and plot the residuals against x. Does the plot suggest that a linear regression function is inappropriate?
c. Compute the values of the standardized residuals and plot them against x. Are there any unusually large (positive or negative) standardized residuals? Does this plot give the same message as the plot of part (b) regarding the appropriateness of a linear regression function?

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X 7.0 У 1046 9.3 1065 13.2 16.3 1094 1117 1130 19.1 22.0 1135