Question: A study was recently done in which the following regression output was generated using Excel. Which of the following statements is false ? -Given the

A study was recently done in which the following regression output was generated using Excel.

Which of the following statements is false?

-Given the output, the linear regression model is y = 4.82x + 0.053.

-Approximately 57% of the variation in the y variable is explained by the x variable.

-Given the output, we would reject the null hypothesis that the population regression slope coefficient is equal to zero at the alpha = .05.

-The SSR is greater than the SSE but less than the SST.

A study was recently done in which the following regression output was

SUMMARY OUTPUT Regression Statistics Multiple R 0.754525991 R Square 0.569309472 Adjusted R Square 0.507782253 Standard Error 1.977472261 Observations 9 ANOVA df SS MS F Significance F Regression 36.18277975 36.18278 9.252969 0.018797 Residual 7 27.3727758 3.910397 Total 8 63.55555556 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Intercept 4.822953737 2.20457789 2.187699 0.064899 -0.39004 10.03595 X 0.053825623 0.017694916 3.041869 0.018797 0.011984 0.095667

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