INTRODUCTORY STATISTICS (LOOSELEAF)
3rd Edition
ISBN: 9780135163146
Author: Gould
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 4, Problem 51SE
Pitchers The table shows the Earned Run Average (ERA) and WHIP rating (walks plus hits per inning) for the top 40 Major League Baseball pitchers in the 2017 season. Top pitchers will tend to have low ERA and WHIP ratings. (Source: ESPN.com)
a. Make a
b. Use linear regression to find the equation of the best-fit line. Show the line on the scatterplot using technology or by hand.
c. Interpret the slope.
d. Interpret the y-intercept or explain why it would be inappropriate to do so.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Spring is a peak time for selling houses. The file SpringHouses contains the selling price, number of bathrooms, square footage, and number of bedrooms of 26 homes sold in Ft. Thomas, Kentucky, in spring 2018 (realtor.com website)
Click on the datafile logo to reference the data.
DATA file
a. The Excel output for the estimated regression equation that can be used to predict the selling price given the number of bathrooms, square footage, and number of bedrooms in the house:
SUMMARY OUTPUT
Multiple R
R Square
Adjusted R Square
Standard Error
Observations
ANOVA
Regression statistics
Regression
Residual
Total
Multiple R
R Square
ANOVA
Adjusted R Square
Standard Error
Observations
0.7429
0.5519
0.4907
61948.6931
Regression statistics
Regression
Residual
Total
df
Intercept
Sq Ft
Beds
Lower 95%
0.9353 -145129.5298
Intercept
Baths
0.9528 -49383.5243
0.0180
Sq Ft
Beds
0.0326
Does the estimated regression equation provide a good fit to the data? Explain. Hint: If R is greater than 45%, the…
The accompanying table shows the percentage of employment in STEM (science, technology, engineering, and math) occupations and mean annual wage (in thousands of dollars) for 16 industries. The equation of the regression line is
31.218x +45.915. Use these data to construct a 95% prediction interval for the mean annual wage (in thousands of dollars) when the percentage of employment in STEM occupations is 14% in the industry. Interpret this interval.
E Click the icon to view the mean annual wage data.
Construct a 95% prediction interval for the mean annual wage (in thousands of dollars) when the percentage of employment in STEM occupations is 14% in the industry.
Use the given data to find the scatter plot, equation of the regression line, and prediction.
4) Managers rate employees according to job performance and attitude. The results for several randomly selected
employees are given below.
Performance
59 63 65 69 58 77 76 | 69 70 64
Attitude
72 67 78 82 75 87 92 83 87 78
What function do you use to see the scatterplot on the calculator.
Scatterplot from the calculator:
Chapter 4 Solutions
INTRODUCTORY STATISTICS (LOOSELEAF)
Ch. 4 - GPA Predictors The scatterplots show SAT scores...Ch. 4 - Salary and Employment The first graph shows the...Ch. 4 - Age and Credits The scatterplot below shows data...Ch. 4 - Age and GPA The scatterplot shows data on age and...Ch. 4 - Credits and GPA (Example 1) The scatterplot shows...Ch. 4 - Salary and Education The scatterplot shows data on...Ch. 4 - Sisters and Brothers The scatterplot shows the...Ch. 4 - House Price and Area Describe the trend in the...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 - Law School The scatterplot shows the LSAT (Law...Ch. 4 - Medical School The scatterplot shows the...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 - Airline Tickets (Example 2) The distance (in...Ch. 4 - Train Tickets The table for part (a) shows...Ch. 4 - SAT and GPA In Exercise 4.1 there is a graph of...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 - GPA and Gym Use USA Today College published an...Ch. 4 - Education and Life Expectancy United Press...Ch. 4 - Salaries of College Graduates (Example 3) The...Ch. 4 - Mother and Daughter Heights The graph shows the...Ch. 4 - Median Weekly Earning by Gender The scatterplot...Ch. 4 - Home Prices and Size The scatterplot shows the...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 - Singles and Doubles Winning Percentage The...Ch. 4 - Seesaw The figure shows a scatterplot of the...Ch. 4 - Choosing the Predictor and Response Variables...Ch. 4 - Choosing the Predictor and the Response Variable...Ch. 4 - Percentage of Smoke-Free Homes and Percentage of...Ch. 4 - Effect of Adult Smoking on High School Student...Ch. 4 - Car Insurance and Age The following graph shows...Ch. 4 - Life Insurance and Age The graph shows the monthly...Ch. 4 - How Is the Time of a Flight Related to the...Ch. 4 - Distance and Train Ticket Price The following...Ch. 4 - Do States with Higher Populations Have More...Ch. 4 - Movie Ratings The following table give the Rotten...Ch. 4 - Pitchers The table shows the Earned Run Average...Ch. 4 - Text Messages The following table shows the number...Ch. 4 - Answer the questions using complete sentences. a....Ch. 4 - Answer the questions 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 following table shows the...Ch. 4 - Wine Calories The table shows the calories in a...Ch. 4 - Teacher Pay and Expenditure Per Student (Example...Ch. 4 - Teacher Pay and High School Graduation Rates The...Ch. 4 - Does Having a Job Affect Students’ Grades?...Ch. 4 - Weight of Trash and Household Size Data were...Ch. 4 - Predicting Home Runs Data on the number of home...Ch. 4 - Predicting 3-Point Baskets Data on the 3-point...Ch. 4 - 4th-Grade Reading and Math Scores Data from the...Ch. 4 - SAT Scores The following table shows the average...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 - Prob. 77CRECh. 4 - Granola Bars The following table shows the fat...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 - Law School Selectivity and Employment The...Ch. 4 - Prob. 84CRECh. 4 - Prob. 87CRECh. 4 - Fuel-Efficient Cars The following table gives the...Ch. 4 - Tall Buildings The following scatterplot shows...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
Additional Math Textbook Solutions
Find more solutions based on key concepts
The largest polynomial that divides evenly into a list of polynomials is called the _______.
Elementary & Intermediate Algebra
Empirical versus Theoretical A Monopoly player claims that the probability of getting a 4 when rolling a six-si...
Introductory Statistics
Check Your Understanding
Reading Check Complete each sentence using > or < for □.
RC1. 3 dm □ 3 dam
Basic College Mathematics
1. How is a sample related to a population?
Elementary Statistics: Picturing the World (7th Edition)
(a) Make a stem-and-leaf plot for these 24 observations on the number of customers who used a down-town CitiBan...
APPLIED STAT.IN BUS.+ECONOMICS
The first derivative of function y=25x4.
Calculus for Business, Economics, Life Sciences, and Social Sciences (14th Edition)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Similar questions
- Life Expectancy The following table shows the average life expectancy, in years, of a child born in the given year42 Life expectancy 2005 77.6 2007 78.1 2009 78.5 2011 78.7 2013 78.8 a. Find the equation of the regression line, and explain the meaning of its slope. b. Plot the data points and the regression line. c. Explain in practical terms the meaning of the slope of the regression line. d. Based on the trend of the regression line, what do you predict as the life expectancy of a child born in 2019? e. Based on the trend of the regression line, what do you predict as the life expectancy of a child born in 1580?2300arrow_forwardDoes Table 2 represent a linear function? If so, finda linear equation that models the data.arrow_forwardUse Excel Spreadsheets, Google Sheets, or GeoGebra to create a scatter plot for the data below. (You will upload your graph in the next question.) Use the graph to answer the questions below the table. The following data are the morning and evening high tide levels for Charleston, SC from January 1-14,2017. The information for the PM high tide for January 4 is missing. Create a scatter plot. Find the regression line and use it to estimate the PM high tide for January 4. Then find the correlation coefficient. (NOTE: The first column identifies the day. This data will not be used in the scatter plot.) Day AM High (in feet), xx PM High (in feet), yy 1 5.6 4.8 2 5.5 4.8 3 5.4 4.9 4 5.2 5 5.0 5.1 6 5.2 5.0 7 5.4 4.9 8 5.7 5.0 9 6.0 5.1 10 6.3 5.3 11 6.4 5.4 12 6.5 5.4 13 6.4 5.4 14 6.2 5.3 Source: SCDHEC.govarrow_forward
- The table shows the lengths and weights of seven muskies captured by the Department of Natural Resources in Catfish Lake in Eagle River, Wisconsin. Use the linear regression feature on a graphing calculator to determine an equation of the line that best fits the data. Round to the hundredths. Musky 1 2 3 4 5 6 7 Length (in.) 26 27 29 33 35 36 38 Weight (lb) 5 8 9 12 14 14 19arrow_forwardThe datasetBody.xlsgives the percent of weight made up of body fat for 100 men as well as other variables such as Age, Weight (lb), Height (in), and circumference (cm) measurements for the Neck, Chest, Abdomen, Ankle, Biceps, and Wrist. We are interested in predicting body fat based on abdomen circumference. Find the equation of the regression line relating to body fat and abdomen circumference. Make a scatter-plot with a regression line. What body fat percent does the line predict for a person with an abdomen circumference of 110 cm? One of the men in the study had an abdomen circumference of 92.4 cm and a body fat of 22.5 percent. Find the residual that corresponds to this observation. Bodyfat Abdomen 32.3 115.6 22.5 92.4 22 86 12.3 85.2 20.5 95.6 22.6 100 28.7 103.1 21.3 89.6 29.9 110.3 21.3 100.5 29.9 100.5 20.4 98.9 16.9 90.3 14.7 83.3 10.8 73.7 26.7 94.9 11.3 86.7 18.1 87.5 8.8 82.8 11.8 83.3 11 83.6 14.9 87 31.9 108.5 17.3…arrow_forwardBrandon works as a statistician for the Toronto Blue Jays, and wants to analyze the relationship between a player's age and how many strikeouts they accumulate in a season. He takes a sample of 8 Blue Jays players with age between 25 and 34 and finds there is a linear relationship between their ages and the number of strikeouts they had in the 2015 season. Here are the numerical summaries for age and the number of strikeouts: r = 0.67, age = 28.4, Sage = 3.96, strikeout= 102.9, S strikeout = 7.7 (a) What is the value of b₁, i.e. the fitted slope? (Round your answer to 3 decimal places) Answer: (b) What the value of bo, i.e. the fitted intercept? (Round your answer to 3 decimal places.) Answer: (c) What is the percent of variation of the number of strikeouts that is explained by age using a linear regression? (Round your answer to 2 decimal places.) Answer: % (d) Can we use this linear regression to predict the number of strikeouts for a player age 38? Answer: O No, because the…arrow_forward
- Brandon works as a statistician for the Toronto Blue Jays, and wants to analyze the relationship between a player's age and how many strikeouts they accumulate in a season. He takes a sample of 5 Blue Jays players with age between 25 and 34 and finds there is a linear relationship between their ages and the number of strikeouts they had in the 2015 season. Here are the numerical summaries for age and the number of strikeouts: r = 0.6, age = 25.3, Sage = 3.2, strikeout = 105.7, S strikeout = 7.48 a) What is the value of b₁, the estimated slope? (Round your answer to 3 decimal places, if needed.) Answer: b) What is the value of bo, the estimated intercept? (Round your answer to 3 decimal places, if needed.) Answer: c) What is the percent of variation in the number of strikeouts that is explained by age, using linear regression? (Round your answer to 2 decimal places, if needed.) Answer: % d) Can we use this linear regression to predict the number of strikeouts for a player age at 37? No,…arrow_forwardCaselet #1 ADVERTISEMENT A marketing executive wishes to determine whether there is a relationship between the number of television commercials aired per week and the number of sales (in thousand pesos) of a product. The data for the sample follow. Number of Ads, x 2 8. 8. 10 12 Sales, y 2 4 7 6. 10arrow_forwardThe number of megapixels in a digital camera is one of the most important factors in determining picture quality. But, do digital cameras with more megapixels cost more? The following data show the number of megapixels and the price ($) for 10 digital cameras(Consumer Reports, March 2009). Would you feel comfortable using the estimated regression equation developed to predict the price of a digital camera given the number of megapixels? Explain. Brand and Model Megapixels Price (S) Canon PowerShot SD1100 IS Casio Exilim Card EX-510 180 200 230 8 10 Sony Cyber-shot DSC-170 Pentax Optio M50 Canon PowerShot Gl10 8 120 470 15 Canon PowerShot A590 IS 8 140 Canon PowerShot El Fujifilm FinePix FOOFD Sony Cyber-shot DSC-W170 Canon PowerShot A470 10 12 180 310 10 250 110arrow_forward
- For the data set below, create a linear regression and a two-domain (two-part) piecewise static (stairstep) model. Which is a better fit? Defend your answer. Samples = (1, 59), (2, 61), (3, 63), (4, 53), (5, 43), (6, 44), (7, 40), (8, 39), (9, 37), (10, 37)arrow_forwardA researcher is analyzing the relationship between various variables in housing data for 32 cities: median list prices of single family homes, condominium or co-ops, all homes, median household income, unemployment rate, and population. What is the regression equation for the model that predicts the list price of all homes using population as an explanatory variable?What is the interpretation of the slope? What is the interpretation of the intercept?arrow_forwarda. Using any statistical software, produce a scatter plot for these data with stress test score as the independent variable and the blood pressure as the dependent variable.b. Describe the form, trend, and strength of of the association between stress test scores and blood pressure.c. Produce the line of best fit and the estimate linear regression.d. Estimate the blood pressure of the student if his stress test score is 80, 60, and 85.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Functions and Change: A Modeling Approach to Coll...AlgebraISBN:9781337111348Author:Bruce Crauder, Benny Evans, Alan NoellPublisher:Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill
Big Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin Harcourt
Holt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL
Functions and Change: A Modeling Approach to Coll...
Algebra
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
Big Ideas Math A Bridge To Success Algebra 1: Stu...
Algebra
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:Houghton Mifflin Harcourt
Holt Mcdougal Larson Pre-algebra: Student Edition...
Algebra
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Correlation Vs Regression: Difference Between them with definition & Comparison Chart; Author: Key Differences;https://www.youtube.com/watch?v=Ou2QGSJVd0U;License: Standard YouTube License, CC-BY
Correlation and Regression: Concepts with Illustrative examples; Author: LEARN & APPLY : Lean and Six Sigma;https://www.youtube.com/watch?v=xTpHD5WLuoA;License: Standard YouTube License, CC-BY