Reading the Regression Analysis

Lets look at one more sample data and try to read the Regression Analysis Summary. Refer Here for the dataset

The Summary which we got is as shown below

What we really want?
 Regression equation:
yhat = 528.06717 + 14.833x
 Significance
 Explanatory power
 Regression equation:

Regression Statistics

ANOVA:

Multiple R: This is absolute value of teh correlation coeffecient of two variables (X and Y)

Standard error: This is measure of precision of the model

Rsquared = measures how much of total variability is explained by your model

Adjusted Rsquared is the modified version of Rsquared that has been adjust for number of predictors in the model
 Multivariate Regressions are always better than univariate, as with each additonal value you add the explanatory power may increase or stay the same

FStatistic: This tests the overall significance of the model
 H0 :
b1 = b2 = b3...bk=0
 H1: at least one of b(i) !=0
 H0 :
Multiple Linear Regression model
 So far in Single linear regression
 So in multiple linear regression