Using the above data, calculate all of the numbers in this table BY HAND. In oth

Question

Using the above data, calculate all of the numbers in this table BY HAND. In other words, apply the regression formulas to generate the regression parameters and ANOVA table values given above. Here are the rules: (Once you calculate a number, indicate where it is on the above table (i.e. this is the INTERCEPT PARAMETER ESTIMATE)).

The REG Procedure Mode MODEL1 Dependent Variable: Y Monthly use of steam in pounds Number of Observat ions Read Number of Observat ions Used 25 25 Analysis of Var iance Mean Square Sum of Source DF Square F Value Pr F Mode1 Error cor 45.59240 18.22340 63.81580 45.59240 0.79232 57.54 .0001 23 24 rected Total Root MSE Dependent Mean CoeffVar 0.89012 9.42400 9.44529 0.7144 0.7020 Adj R-Sq Parameter Estimates Standard Label Parameter Estimate Var iable DF Error t Value Pr|t| Intercept Intercept X8 13.62299 -0.07983 0.58146 0.01052 23.43 7.59

Explanation / Answer

From the given ANOVA table, the intercept parameter estimate, beta0=13.623, and slope parameter estimate, beta1=-0.08. Substituting the values in the following least-square regression equation, yhat=beta0+beta1x, the least sqaure regression equation is as follows:

Monthly use of steams=13.623-0.08 average temperature

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