Introduction To Statistics And Data Analysis
6th Edition
ISBN: 9781337793612
Author: PECK, Roxy.
Publisher: Cengage Learning,
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 5.1, Problem 10E
The authors of the paper “Flat-footedness Is Not a Disadvantage for Athletic Performance in Children Aged 11 to 15 Years” (Pediatrics [2009]: e386-e392) studied the relationship between y = Arch height and scores on a number of different motor ability tests for 218 children. They reported the following
- a. Interpret the value of the
correlation coefficient between average hopping height and arch height. What does the fact that the correlation coefficient is negative say about the relationship? Do higher arch heights tend to be paired with higher or lower average hopping heights? - b. The title of the paper suggests that having a small value for arch height (flat-footedness) is not a disadvantage when it comes to motor skills. Do the given correlation coefficients support this conclusion? Explain.
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
A meta-analysis (Anderson & Bushman, 2001) reported that the average correlation between time spent playing violent video games (X) and engaging in aggressive behavior (Y) in a set of 21 well-controlled experimental studies was +.19. This correlation was judged to be statistically significant. In your own words, what can you say about the nature and strength of the relationship?
The authors of a paper studied the relationship between y = arch height and scores on a number of different motor ability tests for 218 children. They reported the following correlation coefficients.
Motor Ability Test
Height of Counter Movement Jump
Hopping: Average Height
Hopping: Average Power
Balance, Closed Eyes, One Leg
Toe Flexion
Correlation between Test Score and Arch Height
-0.10
-0.06
-0.03
0.05
0.04
(a) Identify the value of the correlation coefficient between average hopping height and arch height.
r =
Interpret the value of the correlation coefficient.
O There is a weak negative linear relationship between average hopping height and arch height.
O There is a strong positive linear relation
average hopping height and arch height.
O There is a weak positive linear relationship between average hopping height and arch height.
O There is no linear relationship between average hopping height and arch height.
O There is a strong negative linear relationship between average…
Carter et al investigated the effect of age at onset of bipolar disorder on the course of the illness. One of the variables studied was the subjects' family history. The table below shows the frequency of a family history of mood disorders in the two groups of interest: early age at onset (18years or younger) and later age at onset (later than 18 years old). Can we conclude on the basis of these data that subjects 18 or younger differ from subjects older than 18 with respect to family histories ofmood disorders? Ref: J Psychiatric Research 37(2003), 297-303.
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
Additional Math Textbook Solutions
Find more solutions based on key concepts
A simple random sample of 200 third-graders in a large school district was chosen to participate in an after-sc...
Essential Statistics
Medication Usage In a survey of 3005 adults aged 57 through 85 years, it was found that 82% of them used at lea...
Statistical Reasoning for Everyday Life (5th Edition)
In Exercises 9-20, use the data in the following table, which lists drive-thru order accuracy at popular fast f...
Elementary Statistics (13th Edition)
A Pew Research Center survey found a noticeable rise in smartphone ownership and internet usage in emerging and...
Business Statistics: A First Course (8th Edition)
AVX Home Entertainment, Inc., recently began a “no-hassles” return policy. A sample of 500 customers who recent...
EBK STATISTICAL TECHNIQUES IN BUSINESS
In Hamilton County, Ohio, the mean number of days needed to sell a house is 86 days (Cincinnati Multiple Listin...
STATISTICS F/BUSINESS+ECONOMICS-TEXT
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
- Passive exposure to environmental tobacco smoke has been associated with growth suppression and an increased frequency of respiratory tract infections in normal children. Is this association more pronounced in children with cystic fibrosis? To answer this question, 43 children (18 girls and 25 boys) attending a 2-week summer camp for cystic fibrosis patients were studied (New England Journal of Medicine, Sept. 20, 1990). Among several variables measured were the child's weight percentile (y) and the number of cigarettes smoked per day in the child's home (x). a. For the 18 girls, the coefficient of correlation between y and x was reported as r = –.50. Interpret - this result. b. Refer to part a. The p-value for testing Ho: p = 0 against H;: p # 0 was reported as p = .03. n Interpret this result. c. For the 25 boys, the coefficient of correlation between y and x was reported asr = -.12. Interpret %3D %3D this result. d. Refer to part c. The p-value for testing Ho: p = 0 against Ha: p #…arrow_forwardA researcher wants to test a new memory performance supplement that has shown some promise in primate studies where subjects were given the supplement followed by the task of identifying pictures of other animals three days later. The dependent variable was measured by the number of pictures correctly identified. The researchers noticed that while there was a positive correlation between the group given the supplement and number of correctly identified pictures as compared to the control group, they also notice that there seemed to be some variation between the males and females of the primates. Additionally, two different amounts of the drug have been proposed for consideration. Therefore, in the current study, the researchers want to divide the subject primates (N=60) by gender (male: n=30; female: n=30), and give them a 10 mg dose in one treatment condition, and a 25 mg dose in the other treatment condition. To do this, they are dividing each group of males and females in half, and…arrow_forwardA researcher wants to test a new memory performance supplement that has shown some promise in primate studies where subjects were given the supplement followed by the task of identifying pictures of other animals three days later. The dependent variable was measured by the number of pictures correctly identified. The researchers noticed that while there was a positive correlation between the group given the supplement and number of correctly identified pictures as compared to the control group, they also notice that there seemed to be some variation between the males and females of the primates. Additionally, two different amounts of the drug have been proposed for consideration. Therefore, in the current study, the researchers want to divide the subject primates (N=60) by gender (male: n=30; female: n=30), and give them a 10 mg dose in one treatment condition, and a 25 mg dose in the other treatment condition. To do this, they are dividing each group of males and females in half, and…arrow_forward
- A researcher wants to test a new memory performance supplement that has shown some promise in primate studies where subjects were given the supplement followed by the task of identifying pictures of other animals three days later. The dependent variable was measured by the number of pictures correctly identified. The researchers noticed that while there was a positive correlation between the group given the supplement and number of correctly identified pictures as compared to the control group, they also notice that there seemed to be some variation between the males and females of the primates. Additionally, two different amounts of the drug have been proposed for consideration. Therefore, in the current study, the researchers want to divide the subject primates (N=60) by gender (male: n=30; female: n=30), and give them a 10 mg dose in one treatment condition, and a 25 mg dose in the other treatment condition. To do this, they are dividing each group of males and females in half, and…arrow_forwardA researcher wants to test a new memory performance supplement that has shown some promise in primate studies where subjects were given the supplement followed by the task of identifying pictures of other animals three days later. The dependent variable was measured by the number of pictures correctly identified. The researchers noticed that while there was a positive correlation between the group given the supplement and number of correctly identified pictures as compared to the control group, they also notice that there seemed to be some variation between the males and females of the primates. Additionally, two different amounts of the drug have been proposed for consideration. Therefore, in the current study, the researchers want to divide the subject primates (N=60) by gender (male: n=30; female: n=30), and give them a 10 mg dose in one treatment condition, and a 25 mg dose in the other treatment condition. To do this, they are dividing each group of males and females in half, and…arrow_forwardThe accompanying technology output was obtained by using the paired data consisting of foot lengths (cm) and heights (cm) of a sample of 40 people. Along with the paired sample data, the technology was also given a foot length of 14.5 cm to be used for predicting height. The technology found that there is a linear correlation between height and foot length. If someone has a foot length of 14.5 cm, what is the single value that is the best-predicted height for that person? The regression equation is Height=64.8+5.70 Foot Length Predictor Coef SE Coef T P Constant 64.79 11.98 5.41 0.000 Foot Length 5.7004 0.4126 13.82 0.000 S=5.50488 R-Sq=70.6% R-Sq(adj)=69.8% Predicted Values for New Observations New Obs Fit SE Fit 95% CI 95% PI 1 147.446 1.796 (143.130, 151.762) (135.900, 158.992) Values of Predictors for New Observations New Obs Foot Length 1 14.5…arrow_forward
- A recent study investigated whether the number of positive health behaviors (e.g., exercising, eating healthy) is predictive of a person's score on a happiness index, such that as positive health behaviors go up, happiness goes up. The results from the study, which was conducted with 12 people, were as follows: r = 0.63 and SSY = 56.0. What is the MSregression? What is the MSresidual? What is the calculated test statistic? Given the value of your calculated test statistic and your critical test statistic, do you reject the null?arrow_forwardThe accompanying technology output was obtained by using the paired data consisting of foot lengths (cm) and heights (cm) of a sample of 40 people. Along with the paired sample data, the technology was also given a foot length of 21.4 cm to be used for predicting height. The technology found that there is a linear correlation between height and foot length. If someone has a foot length of 21.4 cm, what is the single value that is the best-predicted height for that person? The regression equation is Height=52.3+4.58 Foot Length Predictor Coef SE Coef T P Constant 52.33 11.01 4.75 0.000 Foot Length 4.5818 0.4872 9.40 0.000 S=5.50437 R-Sq=70.8% R-Sq(adj)=70.0% Predicted Values for New Observations New Obs Fit SE Fit 95% CI 95% PI 1 150.381 1.722 (146.730, 154.032) (138.758, 162.004) Values of Predictors for New Observations New Obs Foot Length 1 21.4 The…arrow_forwardHarker and Keltner (2001) examined whether emotional well-being in later life could be predicted from the facial expressions of 141 women in their college yearbook photos. The predictor variable of greatest interest was the “positivity of emotional expression” in the college yearbook photo. They also had these photographs rated on physical attractiveness. They contacted the same women for follow-up psychological assessments at age 52 (and at other ages; data not shown here). Here are the correlations of these two predictors (based on ratings of the yearbook photo) with several of their self-reported social and emotional outcomes at age 52: (scores in screen shot) a. Which of the six correlations above are statistically significant (i) if you test each correlation using α = .05, two-tailed, and (ii) if you set EWα = .05 and use Bonferroni-corrected tests? b. How would you interpret their results? c. Can you make any causal inferences from this study? Give reasons. d. Would it be…arrow_forward
- The accompanying technology output was obtained by using the paired data consisting of foot lengths (cm) and heights (cm) of a sample of 40 people. Along with the paired sample data, the technologgy was also given a foot length of 10.8 cm to be used for predicting height. The technology found that there is a linear correlation between height and foot length. If someone has a foot length of 10.8 cm, what is the single value that is the best predicted height for that person? H Click the icon to view the technology output. The single value that is the best predicted height is cm. Technology Output (Round to the nearest whole number as needed.) The regression equation is Height - 67.5 +5.15 Foot Length Predictor Coef SE Coef Constant 67.52 11.07 6.10 0.000 Foot Length 5.1508 0.4817 10.69 0.000 S-5.50271 R-Sq = 73.18 R-Sq (adj) = 72.44 Predicted Values for New Observations New Obs Fit SE Fit 95 CI 954 PI 123.149 1.605 (119.732, 126.566) (111.996, 134.302) Values of Predictors for New…arrow_forwardThe accompanying technology output was obtained by using the paired data consisting of foot lengths (cm) and heights (cm) of a sample of 40 people. Along with the paired sample data, the technology was also given a foot length of 17.8 cm to be used for predicting height. The technology found that there is a linear correlation between height and foot length. If someone has a foot length of 17.8 cm, what is the single value that is the best predicted height for that person? Click the icon to view the technology output. The single value that is the best predicted height is (Round to the nearest whole number as needed.) cm. Technology Output The regression equation is Height = 53.3+4.25 Foot Length Predictor Constant Coef SE Coef 53.28 11.44 Foot Length 4.2537 0.4699 S = 5.50739 R-Sq=72.3% R-Sq (adj) = 71.6% T 4.66 9.05 Predicted Values for New Observations New Obs 1 Fit SE Fit 128.996 1.733 (124.309, 133.683) 95% CI Foot New Obs Length 1 17.8 0.000 0.000 Values of Predictors for New…arrow_forwardThe accompanying technology output was obtained by using the paired data consisting of foot lengths (cm) and heights (cm) of a sample of 40 people. Along with the paired sample data, the technology was also given a foot length of 27.2 cm to be used for predicting height. The technology found that there is a linear correlation between height and foot length. If someone has a foot length of 27.2 cm, what is the single value that is the best predicted height for that person? Click the icon to view the technology output. The single value that is the best predicted height is cm (Round to the nearest whole number as needed.) Technology Output The regression equation is Height = 67.9 +5.69 Foot Length Predictor Coef SE Coef P Constant 67.91 11.77 5.77 0.000 Foot Length 5.6915 0.4847 11.74 0.000 S=5.50995 R-Sq = 71.1% R-Sq(adj) = 70. 3% Predicted Values for New Observations New Obs Fit SE Fit 95% CI 95% PI 1 222.719 1.691 (219.206, 226.232) (211.165, 234.273) Values of Predictors for New…arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
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
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
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