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Get Full Access to Precalculus With Trigonometry: Concepts And Applications - 1 Edition - Chapter 8-2 - Problem 1
Get Full Access to Precalculus With Trigonometry: Concepts And Applications - 1 Edition - Chapter 8-2 - Problem 1

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# Residuals Problem: Suppose that these data have been measured for two related variables ISBN: 9781559533911 468

## Solution for problem 1 Chapter 8-2

Precalculus with Trigonometry: Concepts and Applications | 1st Edition

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Problem 1

Residuals Problem: Suppose that these data have been measured for two related variables x and y. a. Enter the data in two lists on your grapher. Show by linear regression that the bestfitting linear function is = 1.4x + 3.8. Record the correlation coefficient. b. Make a scatter plot of the data on your grapher. On the same screen, plot . How well does the linear function fit the data? c. Calculate and , the averages of x and y. Show algebraically that the average-average point ( , ) is on the regression line. d. Define new lists to help you calculate the squares of the deviations, (y )2, and the squares of the residuals, (y )2. By summing these lists, calculate SSdev and e. The line y2 = 1.5x + 1.95 also contains the average-average point ( , ), but it has a slope of 1.5 instead of 1.4. Plot the line on the same screen as in part b. Can you tell from the graphs which line fits the data better? Explain. Show that SSres for this line

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##### ISBN: 9781559533911

Since the solution to 1 from 8-2 chapter was answered, more than 232 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 1 from chapter: 8-2 was answered by , our top Calculus solution expert on 03/16/18, 04:16PM. Precalculus with Trigonometry: Concepts and Applications was written by and is associated to the ISBN: 9781559533911. The answer to “Residuals Problem: Suppose that these data have been measured for two related variables x and y. a. Enter the data in two lists on your grapher. Show by linear regression that the bestfitting linear function is = 1.4x + 3.8. Record the correlation coefficient. b. Make a scatter plot of the data on your grapher. On the same screen, plot . How well does the linear function fit the data? c. Calculate and , the averages of x and y. Show algebraically that the average-average point ( , ) is on the regression line. d. Define new lists to help you calculate the squares of the deviations, (y )2, and the squares of the residuals, (y )2. By summing these lists, calculate SSdev and e. The line y2 = 1.5x + 1.95 also contains the average-average point ( , ), but it has a slope of 1.5 instead of 1.4. Plot the line on the same screen as in part b. Can you tell from the graphs which line fits the data better? Explain. Show that SSres for this line” is broken down into a number of easy to follow steps, and 180 words. This textbook survival guide was created for the textbook: Precalculus with Trigonometry: Concepts and Applications, edition: 1. This full solution covers the following key subjects: . This expansive textbook survival guide covers 106 chapters, and 2321 solutions.

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