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Based on the Following Regression Output, What Is the Equation

Question 47

Multiple Choice

Based on the following regression output, what is the equation of the regression line?  Regression Statistics  Multiple R 0.99313 R Square 0.98630 Adjusted R  Square 0.98238 Standard Error 2.94802 Observations 10 ANOVA  df  SS  MS F Significance F  Regression 24379.1822189.591251.9430.0000 Residual 760.8368.691 Total 94440.017 Coefficients  Standard Error t Stat  P-value  Lower 95%  Intercept 14.1693.8563.6740.0085.050 X Variable 1 0.9850.1148.6070.0000.714 X Variable 2 0.9950.05717.4980.0000.860\begin{array}{|l|r|r|r|r|r|}\hline \text { Regression Statistics } & & & & & \\\hline \text { Multiple R } & 0.99313 & & & & \\\hline \text { R Square } & 0.98630 & & & & \\\hline \begin{array}{l}\text { Adjusted R } \\\text { Square }\end{array} & 0.98238 & & & & \\\hline \text { Standard Error } & 2.94802 & & & & \\\hline \text { Observations } & 10 & & & & \\\hline & & & & & \\\hline \text { ANOVA } & & & & & \\\hline &{\text { df }} & {\text { SS }} & {\text { MS }} &{F} & \text { Significance F } \\\hline \text { Regression } & 2 & 4379.182 & 2189.591 & 251.943 & 0.0000 \\\hline \text { Residual } & 7 & 60.836 & 8.691 & & \\\hline \text { Total } & 9 & 4440.017 & & & \\\hline & & & & & \\\hline & \text { Coefficients } & \text { Standard Error } & t \text { Stat } & \text { P-value } & \text { Lower 95\% } \\\hline \text { Intercept } & 14.169 & 3.856 & 3.674 & 0.008 & 5.050 \\\hline \text { X Variable 1 } & 0.985 & 0.114 & 8.607 & 0.000 & 0.714 \\\hline \text { X Variable 2 } & 0.995 & 0.057 & 17.498 & 0.000 & 0.860\\\hline \end{array}


A) i = 14.169 + 0.985 X1i + 0.995 X2i
B) i = 14.169 + 0.995 X1i + 0.985 X2i
C) i = 0.995 + 14.169 X1i + 0.985 X2i
D) i = 3.856 + 0.114 X1i + 0.057 X2i

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