MATH IN OUR WORLD
MATH IN OUR WORLD
4th Edition
ISBN: 9781266427183
Author: sobecki
Publisher: MCG
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Concept explainers

Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as p…
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Chapter 11.8, Problem 14E

(a)

To determine

To draw: The scatter plot for the given data set.

(b)

To determine

To find: The correlation coefficient (r) between the variables x and y.

(c)

To determine

To test: The significance of correlation (r) at α=0.01 and α=0.05 for the given data.

(d)

To determine

To find: The equation of the regression line for the variables x and y as well as draw the line on the scatter plot when, r is significant.

(e)

To determine

To describe: The nature of the linear relationship for the given data sets, when it exist.

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Chapter 11 Solutions

MATH IN OUR WORLD

Ch. 11.1 - A marketing firm is hired to study the occupants...Ch. 11.1 - A health-food store recorded the type of vitamin...Ch. 11.1 - In one math class, the data below represent the...Ch. 11.1 - Prob. 4TTOCh. 11.1 - Prob. 5TTOCh. 11.1 - What are data?Ch. 11.1 - Define statistics.Ch. 11.1 - Explain the difference between a population and a...Ch. 11.1 - How is a random sample selected?Ch. 11.1 - How is a systematic sample selected?
Ch. 11.1 - How is a stratified sample selected?Ch. 11.1 - How is a cluster sample selected?Ch. 11.1 - Prob. 8ECh. 11.1 - Describe the difference between descriptive and...Ch. 11.1 - How do inductive and deductive reasoning play a...Ch. 11.1 - For Exercises 1116, classify each sample as...Ch. 11.1 - For Exercises 1116, classify each sample as...Ch. 11.1 - For Exercises 1116, classify each sample as...Ch. 11.1 - For Exercises 1116, classify each sample as...Ch. 11.1 - For Exercises 1116, classify each sample as...Ch. 11.1 - For Exercises 1116, classify each sample as...Ch. 11.1 - In Exercises 1722, decide if you think the method...Ch. 11.1 - In Exercises 172, decide if you think the method...Ch. 11.1 - In Exercises 1722, decide if you think the method...Ch. 11.1 - In Exercises 1722, decide if you think the method...Ch. 11.1 - In Exercises 1722, decide if you think the method...Ch. 11.1 - In Exercises 1722, decide if you think the method...Ch. 11.1 - At a college financial aid office students who...Ch. 11.1 - A questionnaire about how students primarily get...Ch. 11.1 - Twenty-five fans of reality TV were asked to rate...Ch. 11.1 - A small independent developer of apps for...Ch. 11.1 - The ages of the signers of the Declaration of...Ch. 11.1 - The percentage of traffic fatalities in which at...Ch. 11.1 - Prob. 29ECh. 11.1 - The acreage (in thousands of acres) of the 39 U.S....Ch. 11.1 - Prob. 31ECh. 11.1 - 32. During the 1998 baseball season, Mark McGwire...Ch. 11.1 - Prob. 33ECh. 11.1 - Twenty-nine executives reported the number of...Ch. 11.1 - The National Insurance Crime Bureau reported that...Ch. 11.1 - Prob. 36ECh. 11.1 - The data shown represent the percentage of...Ch. 11.1 - Prob. 38ECh. 11.1 - Prob. 39ECh. 11.1 - Prob. 40ECh. 11.1 - For Exercises 3944, decide whether descriptive or...Ch. 11.1 - For Exercises 3944, decide whether descriptive or...Ch. 11.1 - For Exercises 3944, decide whether descriptive or...Ch. 11.1 - For Exercises 3944, decide whether descriptive or...Ch. 11.1 - For Exercises 3944, decide whether descriptive or...Ch. 11.1 - Prob. 46ECh. 11.1 - In addition to the four basic sampling methods,...Ch. 11.1 - Prob. 52ECh. 11.1 - Prob. 53ECh. 11.1 - Prob. 54ECh. 11.2 - Prob. 1TTOCh. 11.2 - Prob. 2TTOCh. 11.2 - Prob. 3TTOCh. 11.2 - Prob. 4TTOCh. 11.2 - Prob. 5TTOCh. 11.2 - Prob. 6TTOCh. 11.2 - Describe how to draw a bar graph and a pie chart...Ch. 11.2 - Explain why bar graphs and pie charts are...Ch. 11.2 - Prob. 3ECh. 11.2 - Prob. 4ECh. 11.2 - Prob. 5ECh. 11.2 - How are histograms and frequency polygons similar?...Ch. 11.2 - Prob. 7ECh. 11.2 - Describe the purpose of a time series graph.Ch. 11.2 - Prob. 9ECh. 11.2 - The data below show the number of students...Ch. 11.2 - 11. Draw a bar graph for the number of registered...Ch. 11.2 - Prob. 12ECh. 11.2 - The number of students at one campus who had a 4.0...Ch. 11.2 - In an insurance company study of the causes of...Ch. 11.2 - In a survey of 100 college students, the numbers...Ch. 11.2 - Prob. 16ECh. 11.2 - For 108 randomly selected college applicants, the...Ch. 11.2 - Prob. 18ECh. 11.2 - Prob. 19ECh. 11.2 - Prob. 20ECh. 11.2 - Prob. 21ECh. 11.2 - Prob. 22ECh. 11.2 - Prob. 23ECh. 11.2 - Prob. 24ECh. 11.2 - Prob. 25ECh. 11.2 - Prob. 26ECh. 11.2 - The number of employed registered nurses tin...Ch. 11.2 - Prob. 28ECh. 11.2 - Prob. 29ECh. 11.2 - Prob. 30ECh. 11.2 - Prob. 31ECh. 11.2 - Prob. 32ECh. 11.2 - Prob. 33ECh. 11.2 - Prob. 34ECh. 11.2 - Prob. 35ECh. 11.2 - Prob. 36ECh. 11.2 - Prob. 37ECh. 11.2 - Prob. 38ECh. 11.2 - Prob. 39ECh. 11.2 - Prob. 40ECh. 11.2 - Prob. 41ECh. 11.2 - 42. If you’re going to compare data sets by...Ch. 11.2 - Prob. 43ECh. 11.2 - Prob. 44ECh. 11.2 - Prob. 45ECh. 11.2 - Make up your own frequency polygon problem: using...Ch. 11.3 - Try This One 1 The total areas, in thousands of...Ch. 11.3 - Prob. 2TTOCh. 11.3 - Prob. 3TTOCh. 11.3 - Prob. 4TTOCh. 11.3 - Prob. 5TTOCh. 11.3 - Prob. 6TTOCh. 11.3 - Prob. 7TTOCh. 11.3 - Try This One 8 For the land area of the top 15...Ch. 11.3 - Prob. 1ECh. 11.3 - Prob. 2ECh. 11.3 - Prob. 3ECh. 11.3 - Prob. 4ECh. 11.3 - Prob. 5ECh. 11.3 - Which of the measures of average can be used to...Ch. 11.3 - In Questions 710, describe some strengths and...Ch. 11.3 - In Questions 710, describe some strengths and...Ch. 11.3 - In Questions 710, describe some strengths and...Ch. 11.3 - In Questions 710, describe some strengths and...Ch. 11.3 - Prob. 11ECh. 11.3 - For Exercises 1122, find the mean, median, mode,...Ch. 11.3 - For Exercises 1122, find the mean, median, mode,...Ch. 11.3 - For Exercises 11–22, find the mean, median, mode,...Ch. 11.3 - For Exercises 1122, find the mean, median, mode,...Ch. 11.3 - Prob. 16ECh. 11.3 - For Exercises 1122, find the mean, median, mode,...Ch. 11.3 - Prob. 18ECh. 11.3 - Prob. 19ECh. 11.3 - Prob. 20ECh. 11.3 - Prob. 21ECh. 11.3 - Prob. 22ECh. 11.3 - For Exercises 2330, find the mean of the data set....Ch. 11.3 - For Exercises 2330, find the mean of the data set....Ch. 11.3 - For Exercises 2330, find the mean of the data set....Ch. 11.3 - Prob. 26ECh. 11.3 - For Exercises 2330, find the mean of the data set....Ch. 11.3 - Prob. 28ECh. 11.3 - For Exercises 2330, find the mean of the data set....Ch. 11.3 - For Exercises 2330, find the mean of the data set....Ch. 11.3 - Prob. 31ECh. 11.3 - Prob. 32ECh. 11.3 - For Exercises 3338, describe which measure of...Ch. 11.3 - For Exercises 3338, describe which measure of...Ch. 11.3 - For Exercises 3338, describe which measure of...Ch. 11.3 - For Exercises 3338, describe which measure of...Ch. 11.3 - For Exercises 3338, describe which measure of...Ch. 11.3 - For Exercises 3338, describe which measure of...Ch. 11.3 - Prob. 39ECh. 11.3 - Exercises 39 and 40 refer back to Exercise 24. The...Ch. 11.3 - Prob. 41ECh. 11.3 - Prob. 42ECh. 11.3 - 43. In Exercise 26, we calculated the mean life...Ch. 11.3 - Prob. 44ECh. 11.3 - Prob. 45ECh. 11.3 - Prob. 46ECh. 11.3 - Prob. 47ECh. 11.3 - Prob. 48ECh. 11.3 - Prob. 49ECh. 11.4 - Prob. 1TTOCh. 11.4 - Prob. 2TTOCh. 11.4 - Prob. 3TTOCh. 11.4 - Prob. 4TTOCh. 11.4 - Name three measures of variation.Ch. 11.4 - What is the range?Ch. 11.4 - Why is the range not usually the best measure...Ch. 11.4 - Prob. 4ECh. 11.4 - Prob. 5ECh. 11.4 - Prob. 6ECh. 11.4 - For Exercises 710, discuss the relative sizes of...Ch. 11.4 - Prob. 8ECh. 11.4 - For Exercises 710, discuss the relative sizes of...Ch. 11.4 - Prob. 10ECh. 11.4 - For Exercises 1126, find the range, variance, and...Ch. 11.4 - For Exercises 1126, find the range, variance, and...Ch. 11.4 - For Exercises 1126, find the range, variance, and...Ch. 11.4 - For Exercises 1126, find the range, variance, and...Ch. 11.4 - For Exercises 1126, find the range, variance, and...Ch. 11.4 - For Exercises 1126, find the range, variance, and...Ch. 11.4 - For Exercises 1126, find the range, variance, and...Ch. 11.4 - For Exercises 1126, find the range, variance, and...Ch. 11.4 - Prob. 19ECh. 11.4 - For Exercises 1126, find the range, variance, and...Ch. 11.4 - Prob. 21ECh. 11.4 - For Exercises 1126, find the range, variance, and...Ch. 11.4 - Prob. 23ECh. 11.4 - Prob. 24ECh. 11.4 - Prob. 25ECh. 11.4 - Prob. 26ECh. 11.4 - The three data sets have the same mean and range,...Ch. 11.4 - Prob. 28ECh. 11.4 - Prob. 33ECh. 11.4 - Prob. 34ECh. 11.4 - Prob. 35ECh. 11.5 - The weights in pounds for the 12 members of a...Ch. 11.5 - Prob. 2TTOCh. 11.5 - Prob. 3TTOCh. 11.5 - Prob. 4TTOCh. 11.5 - Prob. 5TTOCh. 11.5 - If your score in your math class puts you in the...Ch. 11.5 - Does a score in the 90th percentile mean that you...Ch. 11.5 - Explain what quartiles are.Ch. 11.5 - Prob. 4ECh. 11.5 - What does the portion inside the box in a box plot...Ch. 11.5 - What is meant by the term outlier? How can you...Ch. 11.5 - The scores for 20 students on a 50-point math test...Ch. 11.5 - The heights (in inches) of the 12 students in a...Ch. 11.5 - In a class of 500 students, Carvetas rank was 125....Ch. 11.5 - In a class of 400 students, Johns rank was 80....Ch. 11.5 - In a charity marathon to raise money for AIDS...Ch. 11.5 - Prob. 12ECh. 11.5 - On an exam, Angela scored in the 20th percentile....Ch. 11.5 - Out of 600 applicants to a graduate program at an...Ch. 11.5 - Eldrick finished at the 77th percentile of a mens...Ch. 11.5 - Tinas application for a nursing position is ranked...Ch. 11.5 - Leas percentile rank on an exam in a class of 600...Ch. 11.5 - In an English class of 30 students, Audrelias...Ch. 11.5 - The Bowling Green State University mens basketball...Ch. 11.5 - Prob. 20ECh. 11.5 - In an evening statistics class, the ages of 20...Ch. 11.5 - Twenty subjects in a psychology class experiment...Ch. 11.5 - For Exercises 2328, find the values for Q1, Q2,...Ch. 11.5 - For Exercises 2328, find the values for Q1, Q2,...Ch. 11.5 - For Exercises 2328, find the values for Q1, Q2,...Ch. 11.5 - Prob. 26ECh. 11.5 - For Exercises 2328, find the values for Q1, Q2,...Ch. 11.5 - Prob. 28ECh. 11.5 - Prob. 29ECh. 11.5 - Prob. 30ECh. 11.5 - In Problems 2932, draw a box plot for the data,...Ch. 11.5 - Prob. 32ECh. 11.5 - Is it possible to score 90% on a test and have a...Ch. 11.5 - Prob. 34ECh. 11.5 - Prob. 35ECh. 11.5 - Prob. 36ECh. 11.5 - Prob. 37ECh. 11.5 - Prob. 38ECh. 11.5 - Prob. 39ECh. 11.5 - 40. What is unusual about the score at the 80th...Ch. 11.5 - 41. How many scores are lower than the score you...Ch. 11.5 - Prob. 43ECh. 11.6 - Prob. 1TTOCh. 11.6 - A standard test of intelligence is scaled so that...Ch. 11.6 - Prob. 3TTOCh. 11.6 - Prob. 4TTOCh. 11.6 - Find the area under the standard normal...Ch. 11.6 - Find the area under the standard normal...Ch. 11.6 - Prob. 7TTOCh. 11.6 - What is the distinguishing characteristic of a...Ch. 11.6 - Prob. 2ECh. 11.6 - What does the area under a portion of a normal...Ch. 11.6 - Explain what the empirical rule says.Ch. 11.6 - What percentage of the area under a normal curve...Ch. 11.6 - Why does it make sense that the total area under a...Ch. 11.6 - Prob. 7ECh. 11.6 - Prob. 8ECh. 11.6 - Prob. 9ECh. 11.6 - Prob. 10ECh. 11.6 - Prob. 11ECh. 11.6 - Prob. 12ECh. 11.6 - For Exercises 1116, the data set described is...Ch. 11.6 - Prob. 14ECh. 11.6 - For Exercises 1116, the data set described is...Ch. 11.6 - Prob. 16ECh. 11.6 - For Exercises 1116, the data set described is...Ch. 11.6 - Prob. 18ECh. 11.6 - Prob. 19ECh. 11.6 - For Exercises 19–24, find the z score for the...Ch. 11.6 - Prob. 21ECh. 11.6 - Prob. 22ECh. 11.6 - Prob. 23ECh. 11.6 - Prob. 24ECh. 11.6 - For Exercises 1738, find the area under the...Ch. 11.6 - Prob. 26ECh. 11.6 - For Exercises 1738, find the area under the...Ch. 11.6 - Prob. 28ECh. 11.6 - For Exercises 1738, find the area under the...Ch. 11.6 - Prob. 30ECh. 11.6 - For Exercises 1738, find the area under the...Ch. 11.6 - Prob. 32ECh. 11.6 - For Exercises 1738, find the area under the...Ch. 11.6 - Prob. 34ECh. 11.6 - For Exercises 1738, find the area under the...Ch. 11.6 - Prob. 36ECh. 11.6 - For Exercises 1738, find the area under the...Ch. 11.6 - Prob. 38ECh. 11.6 - For Exercises 1738, find the area under the...Ch. 11.6 - Prob. 40ECh. 11.6 - For Exercises 1738, find the area under the...Ch. 11.6 - Prob. 42ECh. 11.6 - For Exercises 1738, find the area under the...Ch. 11.6 - For Exercises 1738, find the area under the...Ch. 11.6 - For Exercises 1738, find the area under the...Ch. 11.6 - Prob. 46ECh. 11.6 - As we know from Chapter 11, the probability of an...Ch. 11.6 - As we know from Chapter 11, the probability of an...Ch. 11.6 - As we know from Chapter 11, the probability of an...Ch. 11.6 - As we know from Chapter 11, the probability of an...Ch. 11.6 - Prob. 51ECh. 11.6 - Prob. 52ECh. 11.6 - Prob. 53ECh. 11.6 - Prob. 54ECh. 11.6 - Prob. 55ECh. 11.6 - Prob. 56ECh. 11.6 - Find two z values, one positive and one negative...Ch. 11.7 - Based on data compiled by the World Health...Ch. 11.7 - Prob. 2TTOCh. 11.7 - The mean for a reading test given nationwide is...Ch. 11.7 - The ages of 33 randomly selected inmates at a...Ch. 11.7 - Explain why the normal distribution can be used to...Ch. 11.7 - Given a data set, how could you decide if the...Ch. 11.7 - Describe the connection between area under a...Ch. 11.7 - Prob. 4ECh. 11.7 - Prob. 5ECh. 11.7 - Prob. 6ECh. 11.7 - Prob. 7ECh. 11.7 - Average sales for an online textbook distributor...Ch. 11.7 - A survey found that people keep their televisions...Ch. 11.7 - The average age of CEOs is 56 years. Assume the...Ch. 11.7 - Prob. 11ECh. 11.7 - Prob. 12ECh. 11.7 - The average amount of snow per season in Trafford...Ch. 11.7 - The average waiting time for a drive-in window at...Ch. 11.7 - The average time it takes college freshmen to...Ch. 11.7 - A brisk walk at 4 miles per hour burns an average...Ch. 11.7 - During September, the average temperature of...Ch. 11.7 - If the systolic blood pressure for a certain group...Ch. 11.7 - An IQ test has a mean of 100 and a standard...Ch. 11.7 - Prob. 20ECh. 11.7 - Prob. 21ECh. 11.7 - The average price of Stephen King paperbacks sold...Ch. 11.7 - Refer to Exercise 5. If your buddy Earl gets a job...Ch. 11.7 - Refer to Exercise 9. If you buy a TV for your dorm...Ch. 11.7 - Prob. 25ECh. 11.7 - Prob. 26ECh. 11.7 - In Problems 2730, (a) construct a histogram for...Ch. 11.7 - In Problems 2730, (a) construct a histogram for...Ch. 11.7 - In Problems 2730, (a) construct a histogram for...Ch. 11.7 - In Problems 2730, (a) construct a histogram for...Ch. 11.7 - Discuss whether or not you think each of the given...Ch. 11.7 - The number of incoming students at two campuses of...Ch. 11.7 - If a distribution of raw scores were plotted and...Ch. 11.7 - A researcher who is in charge of an educational...Ch. 11.7 - Prob. 37ECh. 11.7 - Prob. 38ECh. 11.7 - Prob. 39ECh. 11.7 - Prob. 40ECh. 11.8 - Try This One 1 Do you think there should be a...Ch. 11.8 - Prob. 2TTOCh. 11.8 - Prob. 3TTOCh. 11.8 - Prob. 4TTOCh. 11.8 - Prob. 5TTOCh. 11.8 - Prob. 6TTOCh. 11.8 - Describe what a scatter plot is and how one is...Ch. 11.8 - Explain what is meant when two variables are...Ch. 11.8 - Explain what is meant when two variables are...Ch. 11.8 - Prob. 4ECh. 11.8 - Prob. 5ECh. 11.8 - Prob. 6ECh. 11.8 - Describe the key difference between correlation...Ch. 11.8 - Prob. 8ECh. 11.8 - Prob. 9ECh. 11.8 - Prob. 10ECh. 11.8 - For the data sets in Exercises 1118, (a)Draw a...Ch. 11.8 - Prob. 12ECh. 11.8 - For the data sets in Exercises 1118, (a)Draw a...Ch. 11.8 - Prob. 14ECh. 11.8 - For the data sets in Exercises 1118, (a)Draw a...Ch. 11.8 - Prob. 16ECh. 11.8 - Prob. 17ECh. 11.8 - Prob. 18ECh. 11.8 - For the data sets in Exercises 1926, (a) Draw a...Ch. 11.8 - Prob. 20ECh. 11.8 - For the data sets in Exercises 1926, (a)Draw a...Ch. 11.8 - For the data sets in Exercises 1926, (a)Draw a...Ch. 11.8 - For the data sets in Exercises 1926, (a)Draw a...Ch. 11.8 - Prob. 24ECh. 11.8 - Prob. 25ECh. 11.8 - For the data sets in Exercises 1926, (a)Draw a...Ch. 11.8 - Prob. 27ECh. 11.8 - Prob. 28ECh. 11.8 - Prob. 29ECh. 11.8 - Design your own correlation problem. Think of two...Ch. 11.8 - Prob. 31ECh. 11.8 - Prob. 32ECh. 11.8 - Prob. 33ECh. 11.8 - Prob. 34ECh. 11.8 - Prob. 35ECh. 11.8 - Prob. 36ECh. 11.8 - Prob. 37ECh. 11.8 - Prob. 38ECh. 11.8 - Prob. 39ECh. 11.8 - Prob. 40ECh. 11 - A sporting goods store kept a record of sales of...Ch. 11 - The data set shown below represents the time in...Ch. 11 - During June, a local theater company recorded the...Ch. 11 - Construct a bar graph for the number of homicides...Ch. 11 - Draw a pie chart for the data in Exercies 4....Ch. 11 - Draw a histogram and frequency polygon for the...Ch. 11 - Prob. 7RECh. 11 - The data below are the number of U.S. citizens (in...Ch. 11 - Twelve batteries were tested to see how many hours...Ch. 11 - In your own words, explain the difference between...Ch. 11 - The data below are the number of beds at the eight...Ch. 11 - Which data set do you think would have a greater...Ch. 11 - For the census data in Problem 8, (a)Find the...Ch. 11 - Find the quartiles for the data in Problem 8, then...Ch. 11 - Find the area under the standard normal...Ch. 11 - A doctor has treated 45 male patients this week....Ch. 11 - For a data set with 90 values that is normally...Ch. 11 - Prob. 18RECh. 11 - Prob. 19RECh. 11 - Prob. 20RECh. 11 - Prob. 21RECh. 11 - The average weight of an airline passengers...Ch. 11 - The average cost of Cheetah brand running shoes is...Ch. 11 - Prob. 24RECh. 11 - A study is done to see whether there is a...Ch. 11 - Prob. 26RECh. 11 - Prob. 1CTCh. 11 - Prob. 2CTCh. 11 - Prob. 3CTCh. 11 - Prob. 4CTCh. 11 - Prob. 5CTCh. 11 - Prob. 6CTCh. 11 - These temperatures were recorded in Pasadena for a...Ch. 11 - Prob. 8CTCh. 11 - Prob. 9CTCh. 11 - Prob. 10CTCh. 11 - A major brand of potato chips sells its product in...Ch. 11 - A study is conducted to determine the relationship...
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