# Problem 12-4

###### Question:

The electric power consumed each month by a chemical plant isthought to be related to the average ambient temperature(x1), the number of days in themonth (x2),the average product purity (x3), and the tons of productproduced (x4). The past year's historical data areavailable andare presented in the following table:y:240236270274301316300296267276288261x1:253145606572808475605038x2:242124252526252524252523x3:919088879194878688919089x4:10095110889499979611010510098a) Fit a multiple linearregression model to these datab) Estimate σ2c) Compute the standard errors of coefficients of theregression coefficientsd) Predict power consumption for a month in whichx1=75 degrees Fahrenheit, x2= 24 days,x3= 90%, and x4= 98 tonsAlso include the following:f) A plot of the data (criterion variable vs. each predictorvariable)g) The correlation coefficient between the criterion variableamd each predictor variableh) Compute all the three measures for model verification(rationality of the b coefficients, R2, amd comparese to s)

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