Find the equation of the regression line for the given data. Then construct a sc

Question

Find the equation of the regression line for the given data. Then construct a scatter plot of the data and draw the regression line. (The pair of variables has a significant correlation.) Then use the regression equation to predict the value of y for each of the given x-values, if meaningful. The table shows the shoe size and heights (in) for 6 men. x = size 7.0 x = size 9.0 x = size 15.0 x = size 10.0 Find the regression equation. y^Hat = x + () (Round to three decimal places as needed.) Construct a scatter plot of the data and draw the regression line. Plot shoe size on the horizontal axis and height on the vertical axis. Choose the correct graph below.

Explanation / Answer

1.579975

a) Regression Equation

y = 1.063x+60.500

For Scatter Plot

Option A graph is Correct

SUMMARY OUTPUT Regression Statistics Multiple R 0.943613 R Square 0.890405 Adjusted R Square 0.863006 Standard Error 1.138804 Observations 6 ANOVA df SS MS F Significance F Regression 1 42.14583 42.14583 32.49799 0.00468 Residual 4 5.1875 1.296875 Total 5 47.33333 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0% Intercept 60.5 2.041697 29.63221 7.72E-06 54.83134 66.16866 54.83134 66.16866 X Variable 1 1.0625 0.186381 5.700701 0.00468 0.545025 1.579975 0.545025

1.579975

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