# Interpreting Summary Output for Simple Linear Regression

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.

Â© BrainMass Inc. brainmass.com November 24, 2022, 11:42 am ad1c9bdddfhttps://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

Adjusted R Square 0.935804158

Standard Error 31074.5084

Observations 11

R Square 0.942223742

correlation coefficient=√ R Square==√ 0.942223742=0.9707

Answer: 0.9707

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

Coefficient of determination= R Square=0.9422

Answer: 0.9422

3. What is the ...

#### Solution Summary

The solution interprets summary output for Simple Linear Regression.