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Active Learning Lecture Slides For use with Classroom Response Systems Statistics: Informed Decisions Using Data Fourth Edition by Michael Sullivan III.

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Presentation on theme: "Active Learning Lecture Slides For use with Classroom Response Systems Statistics: Informed Decisions Using Data Fourth Edition by Michael Sullivan III."— Presentation transcript:

1 Active Learning Lecture Slides For use with Classroom Response Systems Statistics: Informed Decisions Using Data Fourth Edition by Michael Sullivan III Chapter 14: Inference on the Least- Squares Regression Model and Multiple Regression Copyright © 2013, 2010 and 2007 Pearson Education, Inc.

2 14-2 Copyright © 2013, 2010 and 2007 Pearson Education, Inc. Compute the standard error, the point estimate for σ, for temperature (x) and number of ice cream cones sold per hour (y). A. 1.33 B. 1.78 C. 1.18 D. 3.53 x65707580859095100105 y81011131216192223 Section 14.1

3 14-3 Copyright © 2013, 2010 and 2007 Pearson Education, Inc. Determine if the residuals are normally distributed. A. Normal B. Not normal Section 14.1

4 14-4 Copyright © 2013, 2010 and 2007 Pearson Education, Inc. Assuming that the residuals are normally distributed, determine s e = 1.33,x = 85 A. 38.728 B. 5.5328 C. 0.0343 D. 0.0156 x65707580859095100105 y81011131216192223 Section 14.1

5 14-5 Copyright © 2013, 2010 and 2007 Pearson Education, Inc. Assuming that the residuals are normally distributed, find the t test statistic used to test H 0 : β 1 = 0 versus H 1 : β 1 ≠ 0. b 1 = 0.383, s e = 1.33, A. 3.473 B. 11.166 C. 38.776 D. 0.288 x65707580859095100105 y81011131216192223 Section 14.1

6 14-6 Copyright © 2013, 2010 and 2007 Pearson Education, Inc. Compute a 95% confidence interval about the slope of the true regression line. b 1 = 0.383, s e = 1.33, A. (0.318, 0.448) B. (0.305, 0.461) C. (0.304, 0.462) D. (0.302, 0.464) x65707580859095100105 y81011131216192223 Section 14.2

7 14-7 Copyright © 2013, 2010 and 2007 Pearson Education, Inc. Construct a 95% confidence interval about the mean number of ice cream cones sold when the temperature is 100°. s e = 1.33, x = 85, A. (19.0, 22.2) B. (19.3, 21.9) C. (19.5, 21.7) D. (17.1, 24.1) x65707580859095100105 y81011131216192223 Section 14.2

8 14-8 Copyright © 2013, 2010 and 2007 Pearson Education, Inc. What is the relationship between the width of a 95% prediction interval and the width of a 95% confidence interval? A.The prediction interval is always narrower than the confidence interval. B.The prediction interval is always wider than the confidence interval. C.They are the same width. D.There is not a consistent relationship between the width of a prediction interval and the width of a confidence interval. Section 14.2

9 14-9 Copyright © 2013, 2010 and 2007 Pearson Education, Inc. The price of a used Toyota Camry, can be modeled by the equation where x 1 is the age of the car (in years) and x 2 is the mileage (in thousands). Predict the y-value for x 1 = 6 and x 2 = 54. A. $17,612 B. $15,982 C. $18,526 D. $22,174 Section 14.3


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