please do part B and C The number of pounds of steam used per month by a chemica

Question

please do part B and C The number of pounds of steam used per month by a chemical plant is thought to be related to the average ambient temperature (n °F) for that month. The past year's usage and temperature are shown in the following table. Month Temp. Usage/1000 Jan. 21 Feb. 24 Mar 32 288.03 Apr. 47 424.84 May S0 454.58 une 59 539,03 Usage/1000Monthx Month Temp. Usage/1000 July 68 621.55 Aug. | 74 675.06 Sept. 62 Oct. 50 Nov. 1 41 369.95 185.79 214.47 562.03 452.93 Dec. 30 Dec. 30 273.98 The following output is from Minitab: Predictor Coet St coet Conatant 6.336 1.668 3.80 0.003 Temp 9.20836 0.03377 272.64 0.000 S= 1.94264 R-Sq= 100.08 R-Sq (adj) = 100.01

Explanation / Answer

The statistical software output for this problem is:

Predicted values:

Hence,

b) 99% confidence interval:

(470.6269, 474.3718)

c) 99% prediction interval:

(466.0635, 478.9351)

X value Pred. Y s.e.(Pred. y) 99% C.I. for mean 99% P.I. for new 52 472.49932 0.59081064 (470.62688, 474.37176) (466.06354, 478.93511)

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