1. The number of pounds of steam used per month by a chemical plant isthought to
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Question
1. The number of pounds of steam used per month by a chemical plant isthought to be related to the average ambient temperature (in for that month. The past year's usage and temperature are shown in the following table: Jan Feb Mar A Minitab Regression output of the steam usage data is: Regression Analysis: Usage/1000 versus Temp. Model Summary R-sq(pred) R-sq R-sq(adj) 1.94284 99.99% 99.99% 99.98% Coefficients SE Coef T-Value P-value Constant 1.67 Temp 9.2084 0.0338 272.64 0.000 Regression Equation Usage/1000 -6.34 +9.2084 Temp. a) Assuming that a simple linear regression model is appropriate, fit the regression model relating steam usage (y) to the average temperature (x) What is the estimate of a? b) what fraction of the variation in yis accounted for by your regression model in (a)? c) What change in mean steam usage is expected when the monthly average temperature changes by 10F?Explanation / Answer
as per chegg policies, i am answering first 4 parts.
1. Usage/1000 = -6.34 + 9.2084*temp.
Estimate of sigma = s = 1.94284
2. Variation in usage which is explained by independent variable temp. is measured by R^2. R^2 = 99.99%
3. Mean steam usage when monthly temperature changes by 1 degree F is measured by slope. here slope = 9.2084
4. When temp = 55, predicted usage = -6.34+9.2084*55 = 500.122
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