Use the given data to find the equation of the regression line. Examine the scat

Question

Use the given data to find the equation of the regression line. Examine the scatterplot and identify a characteristic of the data that is ignored by the regression line. y = + x (Round to two decimal places as needed.) Create a scatterplot of the data. Choose the correct graph below. Identify a characteristic of the data that is ignored by the regression line. A. The data has a pattern that is not a straight line. B. There is no trend in the data. C. There is an influential point that strongly affects the graph of the regression line. D. There is no characteristic of the data that is ignored by the regression line.

Explanation / Answer

Below is the regression analysis results

Hence the regression equation is

ycap = 2.5 + 0.7x

If we plot the given data, the orginal data will form the graph as shown in figure C.

The characteristic which is ignored by the regression line is The data has a pattern that is not a straight line.

SUMMARY OUTPUT Regression Statistics Multiple R 0.8739 R Square 0.7636 Adjusted R Square 0.7374 Standard Error 1.3615 Observations 11 ANOVA df SS MS F Significance F Regression 1 53.9 53.9 29.0779 0.00044 Residual 9 16.6828 1.854 Total 10 70.5828 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0% Intercept 2.50 1.117 2.239 0.052 -0.026 5.026 -0.026 5.026 x 0.70 0.130 5.392 0.000 0.406 0.994 0.406 0.994

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