Introductory Statistics (2nd Edition)
2nd Edition
ISBN: 9780321978271
Author: Robert Gould, Colleen N. Ryan
Publisher: PEARSON
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Chapter 4, Problem 56SE
Suppose that the growth rate of children looks like a straight line if the height of a child is observed at the ages of 24 months, 28 months, 32 months, and 36 months. If you use the regression obtained from these ages and predict the height of the child at 21 years, you might find that the predicted height is 20 feet. What is wrong with the prediction and the process used?
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The average height of people in Faroe island is 180cm. Suppose you run a regression with no independent variables. What would be the estimated form of your regression?
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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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- Olympic Pole Vault The graph in Figure 7 indicates that in recent years the winning Olympic men’s pole vault height has fallen below the value predicted by the regression line in Example 2. This might have occurred because when the pole vault was a new event there was much room for improvement in vaulters’ performances, whereas now even the best training can produce only incremental advances. Let’s see whether concentrating on more recent results gives a better predictor of future records. (a) Use the data in Table 2 (page 176) to complete the table of winning pole vault heights shown in the margin. (Note that we are using x=0 to correspond to the year 1972, where this restricted data set begins.) (b) Find the regression line for the data in part ‚(a). (c) Plot the data and the regression line on the same axes. Does the regression line seem to provide a good model for the data? (d) What does the regression line predict as the winning pole vault height for the 2012 Olympics? Compare this predicted value to the actual 2012 winning height of 5.97 m, as described on page 177. Has this new regression line provided a better prediction than the line in Example 2?arrow_forwardWhat does the y -intercept on the graph of a logistic equation correspond to for a population modeled by that equation?arrow_forwardDoes Table 1 represent a linear function? If so, finda linear equation that models the data.arrow_forward
- Table 6 shows the population, in thousands, of harbor seals in the Wadden Sea over the years 1997 to 2012. a. Let x represent time in years starting with x=0 for the year 1997. Let y represent the number of seals in thousands. Use logistic regression to fit a model to these data. b. Use the model to predict the seal population for the year 2020. c. To the nearest whole number, what is the limiting value of this model?arrow_forwardFind the mean hourly cost when the cell phone described above is used for 240 minutes.arrow_forwardWhile attempting to measure its risk exposure for the upcoming year, an insurance company notices a trend between the age of a customer and the number of claims per year. It appears that the number of claims keep going up as customers age. After performing a regression, they find that the relationship is (claims per year) = 0.385*(age) + 5.218. If a customer is 44.315 years old and they make an average of 11.239 claims per year, the residual is -11.04. Interpret this residual in terms of the problem. Question 10 options: 1) The number of claims per year is 11.04 claims less than what we would expect. 2) The age is 11.04 years larger than what we would expect. 3) The age is 11.04 years less than what we would expect. 4) The number of claims per year is 11.239 claims less than what we would expect. 5) The number of claims per year is 11.04 claims…arrow_forward
- The US government is interested in understanding what predicts death rates. They have a set of data that includes the number of deaths in each state, the number of deaths resulting from vehicle accidents (VEHICLE), the number of people dying from diabetes (DIABETES), the number of deaths related to the flu (FLU) and the number of homicide deaths (HOMICIDE). Your run a regression to predict deaths and get the following output: If the number of cases of diabetes increases from 10 to 20, how much will the predicted number of deaths change?arrow_forwardYou use the same bar of soap to shower each morning. The bar weighs 80 grams when it is new. Its weight goes down by 6 grams per day on the average. What is the equation of the regression line for predicting weight from days of use?arrow_forwardDefine the different ways to use linear regression?arrow_forward
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