Introduction To Statistics And Data Analysis
6th Edition
ISBN: 9781337793612
Author: PECK, Roxy.
Publisher: Cengage Learning,
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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.
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Question 2: When John started his first job, his first end-of-year salary was $82,500. In the following years, he received salary raises as shown in the following table.
Fill the Table: Fill the following table showing his end-of-year salary for each year. I have already provided the end-of-year salaries for the first three years. Calculate the end-of-year salaries for the remaining years using Excel. (If you Excel answer for the top 3 cells is not the same as the one in the following table, your formula / approach is incorrect) (2 points)
Geometric Mean of Salary Raises: Calculate the geometric mean of the salary raises using the percentage figures provided in the second column named “% Raise”. (The geometric mean for this calculation should be nearly identical to the arithmetic mean. If your answer deviates significantly from the mean, it's likely incorrect. 2 points)
Hint for the first part of question 2: To assist you with filling out the table in the first part of the question,…
Consider a sample with data values of 27, 25, 20, 15, 30, 34, 28, and 25. Compute the range, interquartile range, variance, and standard deviation (to a maximum of 2 decimals, if decimals are necessary).
Range
Interquartile range
Variance
Standard deviation
Perform a Step by step following tests in Microsoft Excel. Each of the following is 0.5 points, with a total of 6 points. Provide your answers in the following table.
Median
Standard Deviation
Minimum
Maximum
Range
1st Quartile
2nd Quartile
3rd Quartile
Skewness; provide a one sentence explanation of what does the skewness value indicates
Kurtosis; provide a one sentence explanation of what does the kurtosis value indicates
Make a labelled histogram; no point awarded if it is not labelled
Make a labelled boxplot; no point awarded if it is not labelled
Data
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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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