Introductory Statistics (2nd Edition)
2nd Edition
ISBN: 9780321978271
Author: Robert Gould, Colleen N. Ryan
Publisher: PEARSON
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Chapter 4, Problem 51SE
Pitchers The table shows the number of wins and the number of strikeouts (SO) for 40 baseball pitchers in the major leagues in 2011.
a. Make a
b. Use linear regression to find the equation of the best-fit line. Insert the line on the scatterplot using technology or by hand.
c. Interpret the slope.
d. Interpret the intercept and comment on it.
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3. Bayesian Inference – Updating Beliefs
A medical test for a rare disease has the following characteristics:
Sensitivity (true positive rate): 99%
Specificity (true negative rate): 98%
The disease occurs in 0.5% of the population.
A patient receives a positive test result.
Questions:
a) Define the relevant events and use Bayes’ Theorem to compute the probability that the patient actually has the disease.b) Explain why the result might seem counterintuitive, despite the high sensitivity and specificity.c) Discuss how prior probabilities influence posterior beliefs in Bayesian inference.d) Suppose a second, independent test with the same accuracy is conducted and is also positive. Update the probability that the patient has the disease.
Chapter 4 Solutions
Introductory Statistics (2nd Edition)
Ch. 4 - Predicting Land Value Both scatterplots concern...Ch. 4 - Predicting Total Value of Property Both...Ch. 4 - Car Value and Age of Student The scatterplot shows...Ch. 4 - Shoe Size and GPA The figure shows a scatterplot...Ch. 4 - Weight Loss (Example 1) The scatterplot shows the...Ch. 4 - Comparing Salaries The scatterplot shows the...Ch. 4 - Sisters and Brothers The scatterplot shows the...Ch. 4 - BAs and Median Income The scatterplot shows data...Ch. 4 - Work and TV The scatterplot shows the number of...Ch. 4 - Work and Sleep The scatterplot shows the number of...
Ch. 4 - Age and Sleep The scatterplot shows the age and...Ch. 4 - Height and Weight for Women The figure shows a...Ch. 4 - College Tuition and ACT a. The first scatterplot...Ch. 4 - Ages of Women Who Give Birth The figure shows a...Ch. 4 - Do Older Students Have Higher GPAs? On the basis...Ch. 4 - Handspans Refer to the figure. a. Would it make...Ch. 4 - Matching Pick the letter of the graph that goes...Ch. 4 - Matching Pick the letter of the graph that goes...Ch. 4 - Matching Match each of the following correlations...Ch. 4 - Matching Match each of the following correlations...Ch. 4 - Trash (Example 2) The table shows the number of...Ch. 4 - Cost of Flights The table for part a shows...Ch. 4 - Work Hour and TV Hours In Exercise 4.9 there was a...Ch. 4 - House Price The correlation between house price...Ch. 4 - Rate My Professor Seth Wagerman, a former...Ch. 4 - Cousins Five people were asked how many female...Ch. 4 - + Video Games and BMI The table gives some...Ch. 4 - See-Saw The table gives data on the heights (above...Ch. 4 - Salaries of College Graduates (Example 3) The...Ch. 4 - Mother and Daughter Heights The graph shows the...Ch. 4 - Are Men Paid More Than Women? The scatterplot...Ch. 4 - Home Prices and Areas of Four Bedroom Homes a....Ch. 4 - Height and Arm Span for Women (Example 4) TI-84...Ch. 4 - Hand and Foot Length for Women The computer output...Ch. 4 - Height and Arm Span for Men (Example 5)...Ch. 4 - Hand Length and Foot Length for Men Measurements...Ch. 4 - Comparing Correlation for Arm Span and Height The...Ch. 4 - Age and Weight for Men and Women The scatterplot...Ch. 4 - Social Security Number and Age The figure shows a...Ch. 4 - Seesaw The figure shows a scatterplot of the...Ch. 4 - Choosing the Predictor and Response (Example 6)...Ch. 4 - Choosing the Predictor and Response Indicate which...Ch. 4 - Percentage of Smoke-Free Homes and Percentage of...Ch. 4 - Effect of Adult Smoking on High School Student...Ch. 4 - Driver’s Deaths and Ages The figure shows a graph...Ch. 4 - Do Women Tend to Live Longer Than Men? The figure...Ch. 4 - How Is the Time of a Flight Related to the...Ch. 4 - English in California Schools This problem...Ch. 4 - Do States with Higher Populations Have More...Ch. 4 - Semesters and Units The table shows the...Ch. 4 - Pitchers The table shows the number of wins and...Ch. 4 - Text Messages The following table shows the number...Ch. 4 - Answer the question using complete sentence. a....Ch. 4 - Answer the question, using complete sentences. a....Ch. 4 - If there is a positive correlation between number...Ch. 4 - Suppose that the growth rate of children looks...Ch. 4 - Coefficient of Determination If the correlation...Ch. 4 - Coefficient of Determination Does a correlation of...Ch. 4 - Investing Some investors use a technique called...Ch. 4 - Blood Pressure Suppose a doctor telephones those...Ch. 4 - Salary and Year of Employment (Example 8) The...Ch. 4 - MPG: Highway and City The following figure shows...Ch. 4 - Cost of Turkeys The table shows the weights and...Ch. 4 - Iraq Casualties and Population of Hometowns The...Ch. 4 - Teachers’ Pay and Costs of Education (Example 9)...Ch. 4 - Teachers’ Pay the figure shows a scatterplot with...Ch. 4 - Does Having a Job Affect Students’ Grades?...Ch. 4 - Weight of Trash and Household Size Data were...Ch. 4 - Age and Text Messages The scatterplot shows the...Ch. 4 - Life Expectancy and TVs The scatterplot shows the...Ch. 4 - Education of Fathers and Mothers The data shown in...Ch. 4 - Heights of Fathers and Sons The table shows some...Ch. 4 - Test Scores Assume that in a political science...Ch. 4 - Test Scores Assume that in a sociology class, the...Ch. 4 - Heights and Weights of People The following table...Ch. 4 - Heights and Weights of Men The table shows the...Ch. 4 - Homes The table shows the asking price (in...Ch. 4 - Alcohol and Calories in Beer At the text’s website...Ch. 4 - Shoe Size and Height The scatterplot shows the...Ch. 4 - Age and Sleep The following scatterplot shows the...Ch. 4 - Age and Weight The following scatterplot shows the...Ch. 4 - Heights and Test Scores a. The following figure...Ch. 4 - Prob. 83CRECh. 4 - Age and Happiness Happiness ratings were from I...Ch. 4 - Tree Heights Loggers gathered information about...Ch. 4 - Film Budgets and Grosses Movie studios exert much...Ch. 4 - Gas Mileage of Cars The table gives the number of...Ch. 4 - Tall Buildings The following scatterplot shows...Ch. 4 - Bar-Passing Rate To become a lawyer, you must pass...Ch. 4 - For 4.91 through 4.94 show your points in a rough...Ch. 4 - For 4.91 through 4.94 show your points in a rough...Ch. 4 - For 4.91 through 4.94 show your points in a rough...Ch. 4 - For 4.91 through 4.94 show your points in a rough...Ch. 4 - The following figure shows a scatterplot of the...Ch. 4 - Wages and Education The figure shows a scatterplot...Ch. 4 - Do Students Taking More Units Study More Hours?...Ch. 4 - Hours of Exercise and Hours of Homework The...Ch. 4 - Children’s Ages and Heights The following figure...Ch. 4 - Blackjack Tips The following figure shows the...Ch. 4 - Decrease in Cholesterol A doctor is studying...Ch. 4 - Prob. 102CRE
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