Question: Consider the simple linear regression model fit to the steam plant data in Problem 2.12. Problem 2.12 The number of pounds of steam used per

Consider the simple linear regression model fit to the steam plant data in Problem 2.12.

Problem 2.12

The number of pounds of steam used per month at a plant is thought to be related to the average monthly ambient temperature. The past year's usages and temperatures follow.

Month Temperature Usage/1000 Month Temperature Usage/1000 Jan. 21 185.79 Jul. 68 621.55

a. Construct a normal probability plot of the residuals. Does there seem to be any problem with the normality assumption?

b. Construct and interpret a plot of the residuals versus the predicted response.

c. Suppose that the data were collected in the order shown in the table. Plot the residuals versus time order and comment on the plot.

Month Temperature Usage/1000 Month Temperature Usage/1000 Jan. 21 185.79 Jul. 68 621.55 Feb. 24 214.47 Aug. 74 675.06 Mar. 32 288.03 Sep. 62 562.03 Apr. 47 424.84 Oct. 50 452.93 May 50 454.68 Nov. 41 369.95 Jun. 59 539.03 Dec. 30 273.98

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