Fundamentals of Statistics (5th Edition)
5th Edition
ISBN: 9780134508306
Author: Michael Sullivan III
Publisher: PEARSON
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Chapter 4, Problem 8RE
To determine
The coefficient of determination
R 2
To interpret: The coefficient of determination of the data.
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QOCH.B
The number of cell phones per 100 residents in countries in Europe is given in Table #1 for the year 2010. The number of cell phones per 100 residents in countries of the Americas is given in Table #2 also for the year 2010 ("Population reference bureau," 2013).
Table #1: Number of Cell Phones per 100 Residents in Europe
100
76
100
130
75
84
112
84
138
133
118
134
126
188
129
93
64
128
124
122
109
121
127
152
96
63
99
95
151
147
123
95
67
67
118
125
110
115
140
115
141
77
98
102
102
112
118
118
54
23
121
126
47
Table #2: Number of Cell Phones per 100 Residents in the Americas
158
117
106
159
53
50
78
66
88
92
42
3
150
72
86
113
50
58
70
109
37
32
85
101
75
69
55
115
95
73
86
157
100
119
81
113
87
105
96
Let μ1 = mean number of cell phones…
I mainly need help with part D. I'm not sure how to write the code to use in R to get the values needed.
Question 1. Are the outcomes of hospital care different on weekends than weekdays? In a random sample of 500 patients who experienced severe medical complications after admission to acute care wards in three U.S. states from 1999 and 2001, 121 had been admitted on a weekend and 379 had been admitted on a weekday. This compares with a large population of people at risk for such complications in which 13.9% are admitted on weekends and 86.1% are admitted on weekdays.a) In the 500 sampled patients with severe complications, what fraction had been admitted on weekends? Is this higher or lower than the fraction of all at-risk patients admitted on weekends? b) Name two statistical methods that could be used to test whether the probability of severe complications in at-risk patients admitted to hospitals differs betweenweekend and weekday. State the advantages and disadvantages of both.…
You’ll want to use nCr or nPr on your calculator for these first three problems. They are very time- consuming to compute by hand. Remember to use nPr when the order matters and nCr when it does not. You will find both commands by pressing the [MATH] key on your calculator and scrolling over to PROB. The factorial (!) is in this list as well.
How many different samples of size 35 may be selected from a population of size 120?
How many ways can positions 1 through 10 be decided in a 40-car automobile race?
A 40-person city council consists of 21 men and 19 women. If the council president randomly selects 10 council members to work on a community outreach project, how likely is she to pick exactly 5 men and 5 women.
Chapter 4 Solutions
Fundamentals of Statistics (5th Edition)
Ch. 4.1 - What is the difference between univariate data and...Ch. 4.1 - The _____ variable is the variable whose value can...Ch. 4.1 - A _____ _____ is a graph that shows the relation...Ch. 4.1 - What does it mean to say two variables are...Ch. 4.1 - If r = _____, then a perfect negative linear...Ch. 4.1 - True or False: If the linear correlation...Ch. 4.1 - A _____ variable is a variable that is related to...Ch. 4.1 - True or False: Correlation implies causation.Ch. 4.1 - In Problems 912, determine whether the scatter...Ch. 4.1 - In Problems 912, determine whether the scatter...
Ch. 4.1 - In Problems 912, determine whether the scatter...Ch. 4.1 - In Problems 912, determine whether the scatter...Ch. 4.1 - NW Match the linear correlation coefficient to the...Ch. 4.1 - Match the linear correlation coefficient to the...Ch. 4.1 - Prob. 15AYUCh. 4.1 - Relation between Education and Birthrate? The...Ch. 4.1 - In Problems 1720, (a) draw a scatter diagram of...Ch. 4.1 - In Problems 1720, (a) draw a scatter diagram of...Ch. 4.1 - In Problems 1720, (a) draw a scatter diagram of...Ch. 4.1 - In Problems 1720, (a) draw a scatter diagram of...Ch. 4.1 - Name the Relation, Part I For each of the...Ch. 4.1 - Prob. 22AYUCh. 4.1 - The TIMMS Exam The Trends in International...Ch. 4.1 - Prob. 24AYUCh. 4.1 - NW An Unhealthy Commute The Gallup Organization...Ch. 4.1 - Credit Scores Your Fair Isaacs Corporation (FICO)...Ch. 4.1 - Height versus Head Circumference A pediatrician...Ch. 4.1 - American Black Bears The American black bear...Ch. 4.1 - Weight of a Car versus Miles per Gallon An...Ch. 4.1 - Hurricanes The data in the next column represent...Ch. 4.1 - CEO Performance The following data represent the...Ch. 4.1 - Bear Markets A bear market in the stock market is...Ch. 4.1 - Does Size Matter? Researchers wondered whether the...Ch. 4.1 - Prob. 34AYUCh. 4.1 - Weight of a Car versus Miles per Gallon Suppose...Ch. 4.1 - American Black Bears The website that contained...Ch. 4.1 - Draw Your Data! Consider the four data sets shown...Ch. 4.1 - Predicting Winning Percentage The ultimate goal in...Ch. 4.1 - Prob. 39AYUCh. 4.1 - Lyme Disease versus Drownings Lyme disease is an...Ch. 4.1 - Prob. 41AYUCh. 4.1 - Prob. 42AYUCh. 4.1 - Crime Rate and Cell Phones The linear correlation...Ch. 4.1 - Prob. 44AYUCh. 4.1 - Influential Consider the following set of data: a....Ch. 4.1 - Prob. 46AYUCh. 4.1 - Prob. 47AYUCh. 4.1 - Prob. 48AYUCh. 4.1 - What does it mean to say that the linear...Ch. 4.1 - What does it mean if r = 0?Ch. 4.1 - Prob. 51AYUCh. 4.1 - Prob. 52AYUCh. 4.1 - Explain the difference between correlation and...Ch. 4.1 - Suppose that two variables, x and y, are...Ch. 4.2 - The difference between the observed and predicted...Ch. 4.2 - If the linear correlation between two variables is...Ch. 4.2 - Prob. 3AYUCh. 4.2 - Prob. 4AYUCh. 4.2 - For the data set a. Draw a scatter diagram....Ch. 4.2 - For the data set a. Draw a scatter diagram....Ch. 4.2 - In Problems 712: a. By hand, draw a scatter...Ch. 4.2 - In Problems 712: a. By hand, draw a scatter...Ch. 4.2 - Prob. 9AYUCh. 4.2 - In Problems 712: a. By hand, draw a scatter...Ch. 4.2 - In Problems 712: a. By hand, draw a scatter...Ch. 4.2 - In Problems 712: a. By hand, draw a scatter...Ch. 4.2 - NW Income and Education In Problem 15 from Section...Ch. 4.2 - You Explain It! Study Time and Exam Scores After...Ch. 4.2 - Age Gap at Marriage Is there a relation between...Ch. 4.2 - You Explain It! CO2 and Energy Production The...Ch. 4.2 - NW An Unhealthy Commute (Refer to Problem 25,...Ch. 4.2 - Credit Scores (Refer to Problem 26, Section 4.1.)...Ch. 4.2 - Height versus Head Circumference (Refer to Problem...Ch. 4.2 - Prob. 20AYUCh. 4.2 - Weight of a Car versus Miles per Gallon (Refer to...Ch. 4.2 - Hurricanes (Refer to Problem 30, Section 4.1) The...Ch. 4.2 - Cola Consumption vs. Bone Density Example 5 in...Ch. 4.2 - Attending Class The following data represent the...Ch. 4.2 - CEO Performance (Refer to Problem 31 in Section...Ch. 4.2 - Bear Markets (Refer to Problem 32, Section 4.1) A...Ch. 4.2 - Male vs. Female Drivers (Refer to Problem 34,...Ch. 4.2 - Graduation Rates Go to...Ch. 4.2 - Putting It Together: Housing Prices One of the...Ch. 4.2 - Putting It Together: Smoking and Birth Weight It...Ch. 4.2 - What is a residual? What does it mean when a...Ch. 4.2 - Explain the phrase outside the scope of the model....Ch. 4.2 - Explain what each point on the least-squares...Ch. 4.3 - The _____ _____ _____, R2, measures the proportion...Ch. 4.3 - Total deviation = _____ deviation + _____...Ch. 4.3 - Match each coefficient of determination to a...Ch. 4.3 - NW The Other Old Faithful Perhaps you are familiar...Ch. 4.3 - Concrete As concrete cures, it gains strength. The...Ch. 4.3 - Prob. 7AYUCh. 4.3 - Problems 712 use the results from Problems 2530 in...Ch. 4.3 - Prob. 9AYUCh. 4.3 - Problems 712 use the results from Problems 2530 in...Ch. 4.3 - Problems 712 use the results from Problems 2530 in...Ch. 4.3 - Prob. 12AYUCh. 4.3 - Weight of a Car versus Miles per Gallon Suppose...Ch. 4.3 - American Black Bears Suppose that we find a bear...Ch. 4.3 - Putting It Together: Exam Scores The data below...Ch. 4.3 - Sullivan Survey II Go to...Ch. 4.4 - What is meant by a marginal distribution? What is...Ch. 4.4 - Refer to Table 8. Is constructing a conditional...Ch. 4.4 - Prob. 3AYUCh. 4.4 - Explain the idea behind Simpsons Paradox.Ch. 4.4 - In Problems 5 and 6, a. Construct a frequency...Ch. 4.4 - In Problems 5 and 6, a. Construct a frequency...Ch. 4.4 - Made in America In a recent Harris Poll, a random...Ch. 4.4 - Desirability Traits In a recent Harris Poll, a...Ch. 4.4 - NW Party Affiliation Is there an association...Ch. 4.4 - Prob. 10AYUCh. 4.4 - Health and Happiness The General Social Survey...Ch. 4.4 - Happy in Your Marriage? The General Social Survey...Ch. 4.4 - Prob. 13AYUCh. 4.4 - Treating Kidney Stones Researchers conducted a...Ch. 4.4 - Sullivan Survey II Go to...Ch. 4 - Basketball Spreads In sports betting, Las Vegas...Ch. 4 - Fat and Calories in Cheeseburgers A nutritionist...Ch. 4 - Prob. 3RECh. 4 - Prob. 4RECh. 4 - Prob. 5RECh. 4 - a. Draw a scatter diagram treating x as the...Ch. 4 - Use the results from Problems 2 and 4 to compute...Ch. 4 - Prob. 8RECh. 4 - Prob. 9RECh. 4 - New versus Used Car Satisfaction Are you more...Ch. 4 - Unemployment Rates Recessions are an economic...Ch. 4 - Prob. 12RECh. 4 - Prob. 13RECh. 4 - Prob. 1CTCh. 4 - Use the data from Problem 1. a. Find the...Ch. 4 - Use the results from Problems 1 and 2 to compute...Ch. 4 - The following data represent the speed of a car...Ch. 4 - Prob. 5CTCh. 4 - Prob. 6CTCh. 4 - Consider the following contingency table, which...Ch. 4 - What would you say about a set of quantitative...Ch. 4 - If the slope of a least-squares regression line is...Ch. 4 - What does it mean if a linear correlation...
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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
- Let A=[2.31.73.123.5184.79.1],B=[2.55.27]and C=[5.82.94.1]. Use a graphing calculator to find each result. AB+Carrow_forwardA sensory Psychologist wants to test if age affects a person's ability to detect changes in color presented on a computer screen. She recruits 3 different age groups (young, mid aged, elderly) to test. She also wants to know if bilingual people are different in their ability to detect color changes relative to non bilingual people, so half of the 60 participants are bilingual, the other not bilingual. Complete the source table below for her results. Complete the source table below and answer the question that follows the table also Source SS df MS Fcalculated Fcritical p __ .05 Between 360 5 FactorAge FactorBilingual 220 Interaction 95 Within 1825 54 Total Was there a significant effect of age? ______arrow_forwardA sensory Psychologist wants to test if age affects a person's ability to detect changes in color presented on a computer screen. She recruits 3 different age groups (young, mid aged, elderly) to test. She also wants to know if bilingual people are different in their ability to detect color changes relative to non bilingual people, so half of the 60 participants are bilingual, the other not bilingual. Complete the source table below for her results. Complete the source table below and answer the question that follows the table also Source SS df MS Fcalculated P_.05 Fcritical Between 360 5 FactorAge FactorBilingual 220 Interaction 95 Within 1825 54 Total Was there a significant effect of age?arrow_forward
- Suppose we have a dataset containing 50 rows, one row for each state. The population of each state, measuredin millions of people, is a variable in that data set. Below is a histogram for the population data. I have attached the bar graph- I am havinng trouble discerning which axis is the state and which axid is the population count? theres only 14 on one axis and 44 on the other. Doesn't make sense for a state to have a zero population. Can you tell which is which? a) What proportion of states have a population between 6 and 10 million? what is the mean population? what is the median population?arrow_forwardQOCH.C The number of cell phones per 100 residents in countries in Europe is given in Table #1 for the year 2010. The number of cell phones per 100 residents in countries of the Americas is given in Table #2 also for the year 2010 ("Population reference bureau," 2013). Table #1: Number of Cell Phones per 100 Residents in Europe 100 76 100 130 75 84 112 84 138 133 118 134 126 188 129 93 64 128 124 122 109 121 127 152 96 63 99 95 151 147 123 95 67 67 118 125 110 115 140 115 141 77 98 102 102 112 118 118 54 23 121 126 47 Table #2: Number of Cell Phones per 100 Residents in the Americas 158 117 106 159 53 50 78 66 88 92 42 3 150 72 86 113 50 58 70 109 37 32 85 101 75 69 55 115 95 73 86 157 100 119 81 113 87 105 96 Let μ1 = mean number of cell phones…arrow_forwardExamine the following spreadsheet: A B C D 1 Clerk Hours Sales Flags 2 Jim 18 126 2 3 Kate 14 158 1 4 Judy 21 114 0 5 Aaron 32 227 3 If a manager typed "=INDEX(A2:D5, 4, 3)" into cell A6, what value would be returned? Your Answer:arrow_forward
- QOCH.A The number of cell phones per 100 residents in countries in Europe is given in Table #1 for the year 2010. The number of cell phones per 100 residents in countries of the Americas is given in Table #2 also for the year 2010 ("Population reference bureau," 2013). Table #1: Number of Cell Phones per 100 Residents in Europe 100 76 100 130 75 84 112 84 138 133 118 134 126 188 129 93 64 128 124 122 109 121 127 152 96 63 99 95 151 147 123 95 67 67 118 125 110 115 140 115 141 77 98 102 102 112 118 118 54 23 121 126 47 Table #2: Number of Cell Phones per 100 Residents in the Americas 158 117 106 159 53 50 78 66 88 92 42 3 150 72 86 113 50 58 70 109 37 32 85 101 75 69 55 115 95 73 86 157 100 119 81 113 87 105 96 Let μ1 = mean number of cell phones…arrow_forwardAtlantic hurricanes form off the western coast of Africa. As warm moist air rises, it begins to rotate around a low- pressure system. This rotation is sustained by warm ocean temperatures and a central low pressure. Once a sustained wind speed of 74 miles per hour is reached, the storm is considered a hurricane. As man-made climate change continues to increase the temperature of the Earth's oceans, it is expected that the strength of hurricanes will Typically, a lower central pressure within a hurricane's eye is associated with a higher wind speed. Here, statistical software (R/RStudio) will be used to explore this relationship by applying linear regression methods. Using a database of landfalling hurricanes in the United States, a linear regression will be used to correlate the central pressure of each hurricane to its maximum sustained wind speed. increase. Regression Plot y=942.196-0.884*x R^2=0.768 ----- ----------- -. •... •. 980 1000 940 960 900 920 Independent Variable (x)…arrow_forward3. When car crash tests were conducted, data were collected that consist of crash test loads (pounds) on the left femur and right femur. When those loads are partitioned into the three car size categories of small, midsize, and large, the two-way analysis of results from XLSTAT are as shown below. (The row factor of femur has the two values of left femur and right femur, and the column factor of size has the three values of small, midsize, and large.) Use a 0.05 significance level to apply the methods of two-way analysis of variance (2 way ANOVA test) in R-studio. Present the related hypotheses of interest. What do you conclude?arrow_forward
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