Question

QueSLIVIT TO Based on the following regression output, what is the equation of the regression line? Regression Statistics Multiple R 0.99313 0.98630 R Square Adjusted R Square Standard Error 0.98238 2.94802 10 Observations ANOVA df SS MS Significance F Regression 4379.182 2189.591 251.943 0.0000 Residual 7 60.836 8.691 9 Total 4440.017 Coefficients Standard Error t Stat P-value Lower 95% 14.169 3.856 3.674 Intercept 0.008 5.050 X Variable 1 0.985 0.114 8.607 0.000 0.714 X Variable 0.995 0.057 17.498 0.000 0.860 o a. Y = 0.995+14.169X1 +0.985X21 ob. Y = 3.856 +0.114X1i +0.057Xzi oc. Y = 14.169 +0.985X1 +0.995X21 od. Y =14.169 +0.995X1 +0.985X2i

18

Answer 1

1) As given in the regression output table, coefficient of intercept is 14.169 and coefficient of X variable 1 is 0.985 and coefficient of X variable 2 is 0.995.  Equation of regression line can be written in the form of $Y=c+m_1X_1+m_2X_2$

Hence, the equation of the regression line is  $\hat {Y_i}=14.169+0.985X_{1i}+0.995X_{2i}$

Correct option is (c)

2) represents the slope of the regression line. It is the angle the regression makes with X axis.

B1

Correct option is (d)

3) In a simple regression analysis, there is one independent variable, also called predictor variable and one dependent variable, also called outcome variable.

Correct option is (a)

Question 19) The objective function in regression analysis is to minimize the error sum of squares (SSE).

ErrorSum of Squares,SSE =Zx; - Y) F£ਲ ਦੇ

Correct option is (a)