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.

a. Fit a simple linear regression model to the data.

b. Test for significance of regression.

c. Plant management believes that an increase in average ambient temperature of 1 degree will increase average monthly steam consumption by $10,000 \mathrm{lb}$. Do the data support this statement?

d. Construct a $99 %$ prediction interval on steam usage in a month with average ambient temperature of $58^{\circ}$.

Transcribed Image Text:

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