Introduction To Statistics And Data Analysis
6th Edition
ISBN: 9781337793612
Author: PECK, Roxy.
Publisher: Cengage Learning,
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Textbook Question
Chapter 5, Problem 70CR
The following data on x = Score on a measure of test anxiety and y = Exam score for a sample of n = 9 students are consistent with summary quantities given in the paper “Effects of Humor on Test Anxiety and Performance” (Psychological Reports [1999]: 1203–1212):
Higher values for x indicate higher levels of anxiety.
- a. Construct a
scatterplot , and comment on the features of the plot. - b. Does there appear to be a linear relationship between the two variables? How would you characterize the relationship?
- c. Calculate the value of the
correlation coefficient . Is the value of r consistent with your answer to Part (b)? - d. Is it reasonable to conclude that test anxiety caused poor exam performance? Explain.
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D. A study aims to determine the relationship of salt intake to the blood pressure of persons
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Mean SBP
138 mmHg
120 mmHg
Std. dev. of SBP
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12.2 mmHg
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The accompanying data were read from a plot (and are a subset of the complete data set) given in an article. The data represent the mean response times for a group of individuals with closed-head
injury (CHI) and a matched control group without head injury on 10 different tasks. Each observation was based on a different study, and used different subjects, so it is reasonable to assume that the
observations are independent.
y =
Study
1
2
3
4
5
6
7
8
9
10
Mean Response Time
CHI
302
492
658
684
922
1044
1421
1329
1481
1815
t =
Control
250
360
475
(a) Fit a linear regression model that would allow you to predict the mean response time for those suffering a closed-head injury from the mean response time on the same task for individuals with no
head injury. (Round your answers to four decimal places.)
525
610
740
880
920
1010
1200
(b) Do the sample data support the hypothesis that there is a useful linear relationship between the mean response time for individuals with no head injury and the…
The following scatterplot shows the selling price (according to Kelly’s Blue Book) of 31 Toyota Camry’s as a function of their mileage.
a)What does this scatterplot tell you?
The result of a simple linear regression analysis with “Selling Price” as the dependent and “Mileage” as the independent variable are given below:
b) Is there a statistically significant relationship between selling price and mileage? Explain your answer.
c) How would the selling price change for every additional 10,000 miles of a Camry? Find a 95% confidence interval for that change.
Chapter 5 Solutions
Introduction To Statistics And Data Analysis
Ch. 5.1 - For each of the scatterplots shown, answer the...Ch. 5.1 - For each of the following pairs of variables,...Ch. 5.1 - For each of the following pairs of variables,...Ch. 5.1 - For each of the following pairs of variables,...Ch. 5.1 - Is the following statement correct? Explain why or...Ch. 5.1 - Draw a scatterplot for which r = 1.Ch. 5.1 - Draw a scatterplot for which r = 1.Ch. 5.1 - Each year J.D. Power and Associates surveys new...Ch. 5.1 - The accompanying data are x = Cost (cents per...Ch. 5.1 - The authors of the paper Flat-footedness Is Not a...
Ch. 5.1 - The paper The Relationship Between Cell Phone Use,...Ch. 5.1 - Data from the U.S. Federal Reserve Board (federal...Ch. 5.1 - The article 115K! The 13 Best Paying U.S....Ch. 5.1 - It may seem odd, but one of the ways biologists...Ch. 5.1 - An auction house released a list of 25 recently...Ch. 5.1 - A sample of automobiles traversing a certain...Ch. 5.2 - Two scatterplots are shown below. Explain why it...Ch. 5.2 - The authors of the paper Statistical Methods for...Ch. 5.2 - The accompanying data are a subset of data from...Ch. 5.2 - The authors of the paper Evaluating Existing...Ch. 5.2 - The authors of the paper referenced in the...Ch. 5.2 - A sample of 548 ethnically diverse students from...Ch. 5.2 - The relationship between hospital patient-to-nurse...Ch. 5.2 - The report Airline Quality Rating 2016...Ch. 5.2 - Acrylamide is a chemical that is sometimes found...Ch. 5.2 - Use the acrylamide data given in the previous...Ch. 5.2 - Studies have shown that people who suffer sudden...Ch. 5.2 - The data given in the previous exercise on x =...Ch. 5.2 - An article on the cost of housing in Califomia...Ch. 5.2 - The following data on sale price, size, and...Ch. 5.2 - Explain why it can be dangerous to use the...Ch. 5.2 - The sales manager of a large company selected a...Ch. 5.2 - Explain why the slope b of the least-squares line...Ch. 5.2 - Prob. 34ECh. 5.3 - Does it pay to stay in school? The report Trends...Ch. 5.3 - The data in the accompanying table is from the...Ch. 5.3 - The paper referenced in the previous exercise also...Ch. 5.3 - Consider the residual plot from the previous...Ch. 5.3 - The report Airline Quality Rating 2016...Ch. 5.3 - Acrylamide is a chemical that is sometimes found...Ch. 5.3 - Consider the scatterplot of acrylamide...Ch. 5.3 - Some types of algae have the potential to cause...Ch. 5.3 - The relationship between x = Total number of...Ch. 5.3 - The residuals from the least-squares line for the...Ch. 5.3 - The first Batman movie was made over 50 years ago...Ch. 5.3 - The article 115K! The 13 Best Paying U.S....Ch. 5.3 - The article Examined Life: What Stanley H. Kaplan...Ch. 5.3 - The accompanying data are a subset of data from...Ch. 5.3 - The article California State Parks Closure List...Ch. 5.3 - The article referenced in the previous exercise...Ch. 5.3 - A study was carried out to investigate the...Ch. 5.3 - Both r2 and se are used to assess the fit of a...Ch. 5.3 - Prob. 53ECh. 5.4 - The following data on x = Frying time (in seconds)...Ch. 5.4 - Use the information provided in the previous...Ch. 5.4 - The paper Aspects of Food Finding by Wintering...Ch. 5.4 - Food intake of grazing animals is limited by the...Ch. 5.4 - A study, described in the paper Prediction of...Ch. 5.4 - Prob. 59ECh. 5.4 - The following table gives the number of heart...Ch. 5.4 - Refer to the heart transplant data given in the...Ch. 5.4 - The paper Population Pressure and Agricultural...Ch. 5.4 - Determining the age of an animal can sometimes be...Ch. 5.5 - The paper How Lead Exposure Relates to Temporal...Ch. 5.5 - The following quote is from the paper Evaluation...Ch. 5 - The accompanying data represent x = Amount of...Ch. 5 - The paper A Cross-National Relationship Between...Ch. 5 - The following data on x = Score on a measure of...Ch. 5 - The paper Effects of Canine Parvovirus (CPV) on...Ch. 5 - The paper Depression, Body Mass Index, and Chronic...Ch. 5 - The paper Aspects of Food Finding by Wintering...Ch. 5 - Data on salmon availability (x) and the percentage...Ch. 5 - No tortilla chip lover likes soggy chips, so it is...Ch. 5 - The article Reduction is Soluble Protein and...Ch. 5 - The following quote is from the paper The Weight...Ch. 5 - An accurate assessment of oxygen consumption...Ch. 5 - Consider the four (x, y) pairs (0, 0), (1, 1), 1,...Ch. 5 - Prob. 1CRECh. 5 - Data from a survey of 1046 adults age 50 and older...Ch. 5 - Prob. 3CRECh. 5 - Prob. 4CRECh. 5 - Prob. 5CRECh. 5 - The amount of money spent each year on science,...Ch. 5 - Below are the data used to construct the time...Ch. 5 - In August 2009, Harris Interactive released the...Ch. 5 - Prob. 9CRECh. 5 - Prob. 10CRECh. 5 - Prob. 11CRECh. 5 - Prob. 12CRECh. 5 - Cost-to-charge ratios (the percentage of the...Ch. 5 - In the article Reproductive Biology of the Aquatic...Ch. 5 - Prob. 15CRECh. 5 - Anabolic steroid abuse has been increasing despite...Ch. 5 - Prob. 81ECh. 5 - Prob. 82ECh. 5 - Prob. 83ECh. 5 - Prob. 84ECh. 5 - Suppose the hypothetical data below are from a...Ch. 5 - Prob. 86E
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