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# Interpreting Summary Output for Simple Linear Regression

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Interpreting Summary Output for Simple Linear Regression
(Round all calculations to 4 places.)

Using the second attached BALDOR data and Excel output, complete the following:

1. What is the value of the correlation coefficient?

2. What is the value of the coefficient of determination?

3. What is the value of the y-intercept of the regression (prediction) line?

4. What is the value of the slope of the regression (predictions) line?

5. Write the prediction equation for this set of data.

6. Is the prediction equation significant?

7. Is the correlation coefficient significant (p < .05)?

8. What percent of the variation in the dependent variable (y) is explained (accounted for) by the independent variable (x)?

9. Compute predicted y for x = 10.

https://brainmass.com/statistics/regression-analysis/15220

#### Solution Preview

See attached file
Using the second attached BALDOR data and Excel output, complete the following:

1. What is the value of the correlation coefficient?

Regression Statistics
Multiple R 0.970682101
R Square 0.942223742
Standard Error 31074.5084
Observations 11

R Square 0.942223742

correlation coefficient=&#8730; R Square==&#8730; 0.942223742=0.9707

2. What is the value of the coefficient of determination?

Coefficient of determination= R Square=0.9422