1. Slide 10- 1 Copyright © 2010, 2007, 2004 Pearson Education, Inc. All Rights Reserved. MAT 155 Chapter 10 Correlation and Regression The following is a brief review of Chapter 10. This does NOT cover all the material in that chapter. Click on Slide Show and View Slide Show. Read and note your answer to the question. Advance the slide to see the answer. Thanks to Ms. Valerie Melvin for her portion of this review. Dr. Claude Moore, Math Instructor, CFCC

2. Slide 10- 2 Copyright © 2010, 2007, 2004 Pearson Education, Inc. All Rights Reserved. Choose the error in the stated conclusion: Given: There is a significant linear correlation between the number of homicides in a town and the number of movie theaters in a town. Conclusion: Building more movie theaters will cause the homicide rate to rise. A. Correlation implies causality B. Data based on averages C. Property of linearity

3. Slide 10- 3 Copyright © 2010, 2007, 2004 Pearson Education, Inc. All Rights Reserved. Choose the error in the stated conclusion: Given: There is a significant linear correlation between the number of homicides in a town and the number of movie theaters in a town. Conclusion: Building more movie theaters will cause the homicide rate to rise. A. Correlation implies causality B. Data based on averages C. Property of linearity

4. Slide 10- 4 Copyright © 2010, 2007, 2004 Pearson Education, Inc. All Rights Reserved. Four pairs of data yield r = 0.942 and the regression equation y = 3x. Also y = 12.75. What is the best predicted value of y for x = 2.5? A. 7.5 B. 2.826 C. 12.75 D. 0.942 ^

5. Slide 10- 5 Copyright © 2010, 2007, 2004 Pearson Education, Inc. All Rights Reserved. Four pairs of data yield r = 0.942 and the regression equation y = 3x. Also y = 12.75. What is the best predicted value of y for x = 2.5? A. 7.5 B. 2.826 C. 12.75 D. 0.942 ^

6. Slide 10- 6 Copyright © 2010, 2007, 2004 Pearson Education, Inc. All Rights Reserved. Use the given data to find the equation of the regression line. A. y = 3.0x B. y = 0.15 + 3.0x C. y = 2.8x D. y = 0.15 + 2.8x ^ ^ ^ ^ x2456 y7111320

7. Slide 10- 7 Copyright © 2010, 2007, 2004 Pearson Education, Inc. All Rights Reserved. Use the given data to find the equation of the regression line. A. y = 3.0x B. y = 0.15 + 3.0x C. y = 2.8x D. y = 0.15 + 2.8x ^ ^ ^ ^ x2456 y7111320

8. Slide 10- 8 Copyright © 2010, 2007, 2004 Pearson Education, Inc. All Rights Reserved. Find the coefficient of determination, given that the value of the linear correlation coefficient, r, is –0.721. A. 0.721 B. 0.520 C. 0.480 D. 0.279

9. Slide 10- 9 Copyright © 2010, 2007, 2004 Pearson Education, Inc. All Rights Reserved. Find the coefficient of determination, given that the value of the linear correlation coefficient, r, is –0.721. A. 0.721 B. 0.520 C. 0.480 D. 0.279

10. Slide 10- 10 Copyright © 2010, 2007, 2004 Pearson Education, Inc. All Rights Reserved. The equation of the regression line for the paired data below is y = 3x and the standard error of the estimate is s e = 2.2361. Find the 90% prediction interval of y for x = 3. A. 7.1 < y < 10.9 B. 6.8 < y < 11.2 C. 4.5 < y < 13.5 D. 1.2 < y < 16.8 ^ x2456 y7111320

11. Slide 10- 11 Copyright © 2010, 2007, 2004 Pearson Education, Inc. All Rights Reserved. The equation of the regression line for the paired data below is y = 3x and the standard error of the estimate is s e = 2.2361. Find the 90% prediction interval of y for x = 3. A. 7.1 < y < 10.9 B. 6.8 < y < 11.2 C. 4.5 < y < 13.5 D. 1.2 < y < 16.8 ^ x2456 y7111320