Student Solutions Manual for Statistics: Informed Decisions Using Data
Student Solutions Manual for Statistics: Informed Decisions Using Data
5th Edition
ISBN: 9780134135403
Author: Sullivan
Publisher: PEARSON
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Question
Chapter 4, Problem 1RE

(a)

To determine

To predict: The margin of win if the home team is favored by 3 points.

(a)

Expert Solution
Check Mark

Answer to Problem 1RE

Solution: The predicted value of the margin of win if the home team is favored by 3 points is 3.009.

Explanation of Solution

Given: The least-squares linear regression is provided in the question. The response variable is the winning margin and the explanatory variable is the spread.

Explanation: The value of the margin of winning can be obtained from the regression equation by substituting the value of the spread in the least-squares regression line. The predicted value of the margin of winning for the home team when the team is favored by 3 points can be calculated as follows:

y^=1.007x0.012=1.007×30.012=3.009

(b)

To determine

To predict: The margin of win if the visiting team is favored by 7 points.

(b)

Expert Solution
Check Mark

Answer to Problem 1RE

Solution: The predicted value of the margin of win if the visiting team is favored by 7 points is 7.037.

Explanation of Solution

Given: The least-squares linear regression is provided in the question. The response variable is the winning margin and the explanatory variable is the spread.

Explanation: The value of the margin of win can be obtained from the regression equation by substituting the value of the spread in the least-squares regression line. The predicted value of the margin of win for the visiting team if the team is favored by 7 points can be calculated as follows:

y^=1.007x0.012=1.007×70.012=7.037

(c)

To determine

To interpret: The slope.

(c)

Expert Solution
Check Mark

Answer to Problem 1RE

Solution: The slope can be interpreted as follows: if there is an increase of 1 unit of the variable x, then there is an increase of 1.007 units in the value of the variable y^.

Explanation of Solution

Given: The least-squares linear regression is provided in the question. The response variable is the winning margin and the explanatory variable is the spread.

Explanation: The slope of the least-squares regression equation indicates the quantity of increase (decrease) in the response variable due to the 1-unit increase (decrease) in the value of the explanatory variable. In the provided equation, the amount of increase in the value of y^ is 1.007 due to the 1-unit increase in the value of x.

(d)

To determine

To interpret: The y-intercept.

(d)

Expert Solution
Check Mark

Answer to Problem 1RE

Solution: The y-intercept can be interpreted as the value of the response variable when the value of the explanatory variable is zero. The value of the y-intercept is 0.012 when the value of the explanatory variable is zero.

Explanation of Solution

Given: The least-squares linear regression is provided in the question. The response variable is the winning margin and the explanatory variable is the spread.

Explanation: The y-intercept of the least-squares linear regression provided the value of the response variable when the value of the explanatory variable is zero. In the provided data set, if the value of the explanatory variable is equal to zero, then the value of y^ response variable is 0.012.

(e)

To determine

To interpret: The value of the coefficient of determination.

(e)

Expert Solution
Check Mark

Answer to Problem 1RE

Solution: The variation in winning margin is 39%, which can be explained by the least-squares regression equation.

Explanation of Solution

Given: The value of the coefficient of determination is 0.39.

Explanation: The coefficient of determination indicates that 39% of the variation is explained by the regression equation involving independent variable and the rest of the 61% variation remains unexplained.

Conclusion: From coefficient of determination, it is concluded that 39% of the variation in the winning margin is explained by the regression line.

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Chapter 4 Solutions

Student Solutions Manual for Statistics: Informed Decisions Using Data

Ch. 4.1 - Prob. 11AYUCh. 4.1 - Prob. 12AYUCh. 4.1 - 13. Match the linear correlation coefficient to...Ch. 4.1 - 14. Match the linear correlation coefficient to...Ch. 4.1 - Prob. 15AYUCh. 4.1 - 16. Relation between Education and Birthrate? The...Ch. 4.1 - Prob. 17AYUCh. 4.1 - Prob. 18AYUCh. 4.1 - Prob. 19AYUCh. 4.1 - Prob. 20AYUCh. 4.1 - 21. Name the Relation, Part I For each of the...Ch. 4.1 - 22. Name the Relation, Part II For each of the...Ch. 4.1 - Prob. 23AYUCh. 4.1 - Prob. 24AYUCh. 4.1 - Prob. 25AYUCh. 4.1 - Prob. 26AYUCh. 4.1 - Prob. 27AYUCh. 4.1 - 28. American Black Bears The American black bear...Ch. 4.1 - Prob. 29AYUCh. 4.1 - Prob. 30AYUCh. 4.1 - Prob. 31AYUCh. 4.1 - Prob. 32AYUCh. 4.1 - Prob. 33AYUCh. 4.1 - Prob. 34AYUCh. 4.1 - Prob. 35AYUCh. 4.1 - 36. American Black Bears The website that...Ch. 4.1 - Prob. 37AYUCh. 4.1 - 38. Predicting Winning Percentage The ultimate...Ch. 4.1 - Prob. 39AYUCh. 4.1 - 40. Lyme Disease versus Drownings Lyme disease is...Ch. 4.1 - Prob. 41AYUCh. 4.1 - 42. Obesity In a study published in the Journal of...Ch. 4.1 - Prob. 43AYUCh. 4.1 - Prob. 44AYUCh. 4.1 - Prob. 45AYUCh. 4.1 - Prob. 46AYUCh. 4.1 - Prob. 47AYUCh. 4.1 - Prob. 48AYUCh. 4.1 - Prob. 49AYUCh. 4.1 - Prob. 50AYUCh. 4.1 - Prob. 51AYUCh. 4.1 - 52. Write a paragraph that explains the concept of...Ch. 4.1 - Prob. 53AYUCh. 4.1 - Prob. 54AYUCh. 4.1 - Prob. 55AYUCh. 4.1 - Prob. 56AYUCh. 4.2 - 1. The difference between the observed and...Ch. 4.2 - 2. If the linear correlation between two variables...Ch. 4.2 - 3. True or False: The least-squares regression...Ch. 4.2 - 4. If the linear correlation coefficient is 0,...Ch. 4.2 - Prob. 5AYUCh. 4.2 - 6. For the data...Ch. 4.2 - In Problems 7–12: (a) By hand, draw a scatter...Ch. 4.2 - Prob. 8AYUCh. 4.2 - In Problems 7–12: (a) By hand, draw a scatter...Ch. 4.2 - Prob. 10AYUCh. 4.2 - In Problems 7–12: (a) By hand, draw a scatter...Ch. 4.2 - In Problems 7–12: (a) By hand, draw a scatter...Ch. 4.2 - Prob. 13AYUCh. 4.2 - Prob. 14AYUCh. 4.2 - 15. Age Gap at Marriage Is there a relation...Ch. 4.2 - 16. You Explain It! CO2 and Energy Production The...Ch. 4.2 - Prob. 17AYUCh. 4.2 - Problems 17–22 use the results from Problems 25–30...Ch. 4.2 - Prob. 19AYUCh. 4.2 - Problems 17–22 use the results from Problems 25–30...Ch. 4.2 - Prob. 21AYUCh. 4.2 - Prob. 22AYUCh. 4.2 - Prob. 23AYUCh. 4.2 - 24. Attending Class The following data represent...Ch. 4.2 - Prob. 25AYUCh. 4.2 - Prob. 26AYUCh. 4.2 - Prob. 27AYUCh. 4.2 - 28. Graduation Rates Go to...Ch. 4.2 - Prob. 29AYUCh. 4.2 - 30. Putting It Together: Smoking and Birth Weight...Ch. 4.2 - Prob. 31AYUCh. 4.2 - 32. Explain the phrase outside the scope of the...Ch. 4.2 - Prob. 33AYUCh. 4.2 - Prob. 34AYUCh. 4.2 - Prob. 35AYUCh. 4.3 - 1. The ___ ___ ___, R2, measures the proportion of...Ch. 4.3 - Prob. 2AYUCh. 4.3 - 3. A _____ _____ is a scatter diagram with the...Ch. 4.3 - 4. What is an influential observation? Ch. 4.3 - Prob. 5AYUCh. 4.3 - In Problems 5–8, analyze the residual plots and...Ch. 4.3 - Prob. 7AYUCh. 4.3 - Prob. 8AYUCh. 4.3 - Prob. 9AYUCh. 4.3 - Prob. 10AYUCh. 4.3 - Prob. 11AYUCh. 4.3 - Prob. 12AYUCh. 4.3 - Prob. 13AYUCh. 4.3 - Prob. 14AYUCh. 4.3 - Prob. 15AYUCh. 4.3 - Prob. 16AYUCh. 4.3 - Prob. 17AYUCh. 4.3 - Prob. 18AYUCh. 4.3 - Prob. 19AYUCh. 4.3 - Prob. 20AYUCh. 4.3 - Prob. 21AYUCh. 4.3 - Problems 19–24 use the results from Problems 25–30...Ch. 4.3 - Prob. 23AYUCh. 4.3 - Prob. 24AYUCh. 4.3 - Prob. 25AYUCh. 4.3 - Prob. 26AYUCh. 4.3 - Prob. 27AYUCh. 4.3 - Prob. 28AYUCh. 4.3 - Prob. 29AYUCh. 4.3 - Prob. 30AYUCh. 4.3 - 31. Putting It Together: A Tornado Model Is the...Ch. 4.3 - Prob. 32AYUCh. 4.3 - Prob. 33AYUCh. 4.4 - 1. What is meant by a marginal distribution? What...Ch. 4.4 - Prob. 2AYUCh. 4.4 - Prob. 3AYUCh. 4.4 - Prob. 4AYUCh. 4.4 - In Problems 5 and 6, (a) Construct a frequency...Ch. 4.4 - Prob. 6AYUCh. 4.4 - 7. Made in America In a recent Harris Poll, a...Ch. 4.4 - Prob. 8AYUCh. 4.4 - 9. Party Affiliation Is there an association...Ch. 4.4 - 10. Feelings on Abortion The Pew Research Center...Ch. 4.4 - 11. Health and Happiness The General Social Survey...Ch. 4.4 - Prob. 12AYUCh. 4.4 - 13. Smoking Is Healthy? Could it be that smoking...Ch. 4.4 - Prob. 14AYUCh. 4.4 - Prob. 15AYUCh. 4 - Prob. 1RECh. 4 - 2. Fat and Calories in Cheeseburgers A...Ch. 4 - Prob. 3RECh. 4 - 4. Using the data and results from Problem 2, do...Ch. 4 - Prob. 5RECh. 4 - Prob. 6RECh. 4 - Prob. 7RECh. 4 - Prob. 8RECh. 4 - Prob. 9RECh. 4 - 10. Use the results from Problems 2 and 4 for the...Ch. 4 - Prob. 11RECh. 4 - Prob. 12RECh. 4 - 13. Depreciation The following data represent the...Ch. 4 - Prob. 14RECh. 4 - Prob. 15RECh. 4 - Prob. 16RECh. 4 - Prob. 17RECh. 4 - Prob. 18RECh. 4 - Prob. 19RECh. 4 - Prob. 1CTCh. 4 - Prob. 2CTCh. 4 - Prob. 3CTCh. 4 - Prob. 4CTCh. 4 - Prob. 5CTCh. 4 - Prob. 6CTCh. 4 - Prob. 7CTCh. 4 - Prob. 8CTCh. 4 - Prob. 9CTCh. 4 - Prob. 10CTCh. 4 - Prob. 11CTCh. 4 - Prob. 1CSCh. 4 - Prob. 2CSCh. 4 - Prob. 3CSCh. 4 - 4. Determine the number of acres of farmland A in...Ch. 4 - Prob. 5CSCh. 4 - Prob. 6CS
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