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Based on the following regression output, what is the equation of the regression line? Regression Statistics Multiple R 0.917The R2 statistic o a. varies between - 1 and 1. ob.compares the regression sum of squares to the total sum of squares. oc. ac

Based on the following regression output, what is the equation of the regression line? Regression Statistics Multiple R 0.917

7,10,11

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Answer #1

A) As given in the regression output table, coefficient of intercept is 31.623780 and coefficient of X variable is 1.131661. Equation of regression line can be written in the form of Y = c + mX

Hence, the equation of the regression line is  \hat {Y_i}=31.62378+1.131661X_{1i}

Correct option is (b)

B) R or Coefficient of determination or the goodness of fit, explains the variations in dependent variable which are due to the independent variable(s). It is a statistical measure of how well the regression line fits the data. Its value lies between 0 and 1. It compares the regression sum of squares to the total sum of squares.

Correct option is (b)

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