Introduction to Statistics and Data Analysis
5th Edition
ISBN: 9781305115347
Author: Roxy Peck; Chris Olsen; Jay L. Devore
Publisher: Brooks Cole
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Question
Chapter 5, Problem 69E
To determine
Obtain the logistic regression equation for the given data.
Predict the
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A researcher conducted a study about the hemoglobin levels among menopausal and non-menopausal women. With study of 20 women total, the following information was collected: Hemoglobin Level (g/dl), Age, and Menopausal Status (yes/no). The researcher conducted a multiple logistic regression analysis to find the effects of hemoglobin level, and age on menopausal status. The summary of the analysis is attached as photo.
Question: Determine the 95% confidence interval for the Odds Ratio for the hemoglobin level with interpretation.
Forensic scientists can learn about events at a crime scene by collecting data. Ex: Properties of
glass shards at a crime scene such as chemical composition can indicate what type of glass was
broken at the scene. Possible types include building glass (building windows or doors), vehicle glass
(car windows or doors), or household glass (lightbulbs, baking dishes).
The fitted logistic regression model for predicting whether a glass shard is building glass based on
sodium is:
=
20.02+(-1.42) (sodium)
1+e20.02+(-1.42) (sodium)
Calculate the log-odds that a glass shard with sodium = 13.08 is building glass.
Ex: 1.23
C
Calculate the probability that a glass shard with sodium = 13.08 is building glass.
A university has found a correlation between Math SAT scores and first year GPAs, and r = 0.4.
Suppose a student scores at the 10th percentile of Math SAT scores. What would regression predict for their GPA? Choose the answer that is closest.
Group of answer choices
It's at the 20th percentile
it's at the 28th percentile
it's at the 33rd percentile
it's at the 30th percentile
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 - Is the following statement correct? Explain why or...Ch. 5.1 - Prob. 4ECh. 5.1 - Prob. 5ECh. 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 - Prob. 8ECh. 5.1 - Prob. 9ECh. 5.1 - The accompanying data were read from graphs that...
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 - Prob. 16ECh. 5.2 - A sample of 548 ethnically diverse students from...Ch. 5.2 - The relationship between hospital patient-to-nurse...Ch. 5.2 - Prob. 19ECh. 5.2 - Prob. 20ECh. 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. 28ECh. 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 - Prob. 31ECh. 5.3 - Prob. 32ECh. 5.3 - Some types of algae have the potential to cause...Ch. 5.3 - Prob. 34ECh. 5.3 - Prob. 35ECh. 5.3 - Prob. 36ECh. 5.3 - The article Examined Life: What Stanley H. Kaplan...Ch. 5.3 - Prob. 38ECh. 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. 43ECh. 5.4 - Prob. 44ECh. 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 - Prob. 47ECh. 5.4 - Prob. 48ECh. 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 - Prob. 58CRCh. 5 - Prob. 59CRCh. 5 - Prob. 60CRCh. 5 - The paper Effects of Canine Parvovirus (CPV) on...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 - 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 - In August 2009, Harris Interactive released the...Ch. 5 - Prob. 7CRECh. 5 - Prob. 8CRECh. 5 - Prob. 9CRECh. 5 - Prob. 10CRECh. 5 - Prob. 11CRECh. 5 - Prob. 12CRECh. 5 - Prob. 13CRECh. 5 - Cost-to-charge ratios (the percentage of the...Ch. 5 - Prob. 15CRECh. 5 - In the article Reproductive Biology of the Aquatic...Ch. 5 - Prob. 17CRECh. 5 - Prob. 18CRECh. 5 - The paper “Population Pressure and Agricultural...Ch. 5 - Anabolic steroid abuse has been increasing despite...Ch. 5 - Prob. 69ECh. 5 - Prob. 70ECh. 5 - Prob. 71ECh. 5 - Prob. 72ECh. 5 - Suppose the hypothetical data below are from a...Ch. 5 - Prob. 74E
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- Find the mean hourly cost when the cell phone described above is used for 240 minutes.arrow_forwardDoes Table 1 represent a linear function? If so, finda linear equation that models the data.arrow_forwardSuppose that “X” represents the name of a disease. An epidemiologist conducts a survey of disease “X” in a population. The prevalence of disease “X” among women is 40/1,000 and among men is 20/1,000. Assuming that the data have been age-adjusted, is it correct to conclude that women have twice the risk of disease “X” as men? Explain.arrow_forward
- What is the logistic regression equation? How would you interpret an odds ratio for a continuous explanatory variable in logistic regression?arrow_forwardThe accompanying table provides data for tar, nicotine, and carbon monoxide (CO) contents in a certain brand of cigarette. Find the best regression equation for predicting the amount of nicotine in a cigarette. Why is it best? Is the best regression equation a good regression equation for predicting the nicotine content? Why or why not? Click the icon to view the cigarette content data. Find the best regression equation for predicting the amount of nicotine in a cigarette. Use predictor variables of tar and/or carbon monoxide (CO). Sele the correct choice and fill in the answer boxes to complete your choice. (Round to three decimal places as needed.) OA. Nicotine = + Tar OB. Nicotine = + CO OC. Nicotine = + Tar + CO Why is this equation best? O A. It is the best equation of the three because it has the highest adjusted R², the lowest P-value, and only a single predictor variable. B. It is the best equation of the three because it has the lowest adjusted R², the highest P-value, and…arrow_forwardCigarette Content Data Tar Nicotine CO 4 0.5 4 15 1.0 19 16 1.1 17 14 0.9 17 13 0.7 18 15 1.1 13 15 1.1 17 15 1.1 16 14 1.0 16 9 0.7 13 13 0.7 18 13 0.7 18 13 0.8 17 14 1.0 15 0.2 3 15 1.0 17 15 1.0 15 13 0.8 18 14 0.9 14 15 1.0 17 15 1.1 15 14 1.1 14 8 0.6 8 18 1.3 15 16 1.2 14arrow_forward
- The accompanying table provides data for tar, nicotine, and carbon monoxide (CO) contents in a certain brand of cigarette. Find the best regression equation for predicting the amount of nicotine in a cigarette. Why is it best? Is the best regression equation a good regression equation for predicting the nicotine content? Why or why not? Click the icon to view the cigarette content data. Find the best regression equation for predicting the amount of nicotine in a cigarette. Use predictor variables of tar and/or carbon monoxide (CO). Select the correct choice and fill in the answer boxes to complete your choice. (Round to three decimal places as needed.) Cigarette Content Data A. Nicotine = + Nicotine = xample + C. Nicotine = + Tar + Tar CO Get more help. CO Tar 5 15 17 14 14 14 15 14 15 8 13 225N653 12 12 15 16 15 13 Nicotine 0.5 1.0 1.1 0.7 0.8 1.0 1.0 1.1 1.2 0.8 0.8 0.8 0.8 1.0 0.3 1.1 1.0 0.7 CO 3 19 16 19 19 13 16 14 15 12 18 16 18 17 3 17 14 19 n Xarrow_forwardWhat does a regression equation measure?arrow_forwardjust the last part, thank you!arrow_forward
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