EBK INTRODUCTION TO THE PRACTICE OF STA
8th Edition
ISBN: 9781319116828
Author: Moore
Publisher: VST
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Chapter 2, Problem 178E
To determine
To find: A
Expert Solution & Answer
Answer to Problem 178E
Solution: For the pair of variables: (EdCollege, Female), the coefficient of determination value is
For the pair of variables: (EdCollege, Age 18-24), the coefficient of determination value is
For the pair of variables: (EdCollege, Age 25-34), the coefficient of determination value is
Explanation of Solution
Given: The data of 50 states with variables related to health conditions and risk behavior as well as demographic information is provided in the question.
| State | Age18_24 | Age25_34 | Female | EdCollege |
| Alabama | 13.0 | 17.1 | 52.3 | 19.7 |
| Alaska | 14.6 | 20.7 | 48.2 | 23.7 |
| Arizona | 12.5 | 19.2 | 50.4 | 23.7 |
| Arkansas | 12.6 | 17.7 | 51.7 | 17.4 |
| California | 13.4 | 19.3 | 50.4 | 27.0 |
| Colorado | 12.7 | 18.2 | 49.9 | 32.6 |
| Connecticut | 12.3 | 15.2 | 51.9 | 32.5 |
| Delaware | 12.1 | 16.8 | 52.3 | 25.3 |
| District of Columbia | 13.9 | 23.0 | 53.7 | 45.2 |
| Florida | 11.3 | 16.2 | 51.4 | 23.8 |
| Georgia | 13.4 | 18.8 | 51.4 | 24.6 |
| Guam | 16.9 | 19.6 | 49.0 | 26.0 |
| Hawaii | 11.9 | 18.8 | 50.0 | 26.7 |
| Idaho | 14.1 | 18.4 | 50.2 | 21.7 |
| Illinois | 13.2 | 18.0 | 51.3 | 27.8 |
| Indiana | 13.4 | 17.1 | 51.3 | 20.5 |
| Iowa | 13.6 | 16.0 | 51.1 | 22.6 |
| Kansas | 14.0 | 17.5 | 50.9 | 26.5 |
| Kentucky | 12.5 | 17.3 | 51.6 | 18.7 |
| Louisiana | 13.8 | 18.6 | 52.2 | 18.9 |
| Maine | 11.1 | 14.3 | 51.8 | 24.5 |
| Maryland | 12.3 | 17.3 | 52.3 | 32.8 |
| Massachusetts | 12.7 | 16.6 | 52.1 | 35.4 |
| Michigan | 13.1 | 15.7 | 51.4 | 22.8 |
| Minnesota | 12.8 | 17.4 | 50.7 | 28.8 |
| Mississippi | 14.4 | 17.9 | 52.3 | 17.5 |
| Missouri | 12.9 | 17.2 | 51.8 | 23.0 |
| Montana | 12.9 | 15.8 | 50.3 | 25.1 |
| Nebraska | 14.2 | 17.4 | 50.9 | 25.2 |
| Nevada | 11.7 | 19.5 | 49.4 | 19.9 |
| New Hampshire | 12.4 | 14.5 | 51.2 | 30.2 |
| New Jersey | 11.3 | 16.4 | 51.6 | 32.3 |
| New Mexico | 13.1 | 18.6 | 51.0 | 22.7 |
| New York | 12.5 | 17.4 | 52.1 | 29.9 |
| North Carolina | 12.9 | 17.2 | 51.7 | 23.8 |
| North Dakota | 16.8 | 16.8 | 50.0 | 23.6 |
| Ohio | 12.3 | 16.6 | 51.9 | 22.3 |
| Oklahoma | 13.8 | 18.2 | 51.2 | 20.4 |
| Oregon | 12.2 | 16.3 | 50.8 | 26.1 |
| Pennsylvania | 12.3 | 15.6 | 52.0 | 24.5 |
| Puerto Rico | 14.6 | 19.2 | 53.1 | 19.4 |
| Rhode Island | 13.2 | 15.9 | 52.2 | 27.5 |
| South Carolina | 12.8 | 17.1 | 52.1 | 21.8 |
| South Dakota | 13.9 | 17.0 | 50.4 | 22.9 |
| Tennessee | 12.1 | 17.3 | 51.9 | 20.9 |
| Texas | 13.9 | 19.7 | 50.6 | 23.1 |
| Utah | 17.2 | 22.8 | 50.1 | 25.4 |
| Vermont | 13.2 | 14.2 | 51.3 | 30.2 |
| Virginia | 12.9 | 17.2 | 51.3 | 30.9 |
Calculation: From the given data set consider the following three pair of variables.
1. EdCollege and Female
2. EdCollege and Age 18-24
3. EdCollege and Age 25-34
Now, construct the scatterplot with fitted linear regression line for each pair of variables.
Use Minitab to get the required result.
To draw the scatterplot of the provided data, below mentioned steps are followed in Minitab.
Step 1: Enter the data into Minitab worksheet.
Step 2: Go to Graph, select scatterplot and linear regression and click OK.
Step 3: Select the data variable column and click on Scale.
Step 4: Check minor ticks under Y Scale Low and X Scale Low and then click OK.
The obtained scatterplot of EdCollege and Female is shown below:
From the above plot we observe that there is a low positive relation between the two variables female and EdCollege.
The regression fit for the data is
The obtained scatterplot of EdCollege and Age 18-24 is shown below.
From the above plot we observe that there is a low negative relation between the two variables Age 18-24 and EdCollege. The regression fit for the data is
The obtained scatterplot of EdCollege and Age 25-34 is shown below.
From the above plot we observe that there is a low positive relation between the two variables Age 25-34 and EdCollege.
The regression fit for the data is
Interpretation: Consider the first pair of variables, EdCollege and Female. The coefficient of determination value is
Consider second pair of variables, EdCollege and Age 18-24. The coefficient of determination value is
Consider third pair of variables, EdCollege and Age 25-34. The coefficient of determination value is
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Chapter 2 Solutions
EBK INTRODUCTION TO THE PRACTICE OF STA
Ch. 2.1 - Prob. 1UYKCh. 2.1 - Prob. 2UYKCh. 2.1 - Prob. 3UYKCh. 2.1 - Prob. 4UYKCh. 2.1 - Prob. 5ECh. 2.1 - Prob. 6ECh. 2.1 - Prob. 7ECh. 2.1 - Prob. 8ECh. 2.1 - Prob. 9ECh. 2.2 - Prob. 10UYK
Ch. 2.2 - Prob. 11UYKCh. 2.2 - Prob. 12UYKCh. 2.2 - Prob. 13UYKCh. 2.2 - Prob. 14UYKCh. 2.2 - Prob. 15UYKCh. 2.2 - Prob. 16UYKCh. 2.2 - Prob. 17UYKCh. 2.2 - Prob. 18ECh. 2.2 - Prob. 19ECh. 2.2 - Prob. 20ECh. 2.2 - Prob. 21ECh. 2.2 - Prob. 22ECh. 2.2 - Prob. 23ECh. 2.2 - Prob. 24ECh. 2.2 - Prob. 25ECh. 2.2 - Prob. 26ECh. 2.2 - Prob. 27ECh. 2.2 - Prob. 28ECh. 2.2 - Prob. 29ECh. 2.2 - Prob. 30ECh. 2.2 - Prob. 31ECh. 2.2 - Prob. 32ECh. 2.2 - Prob. 33ECh. 2.2 - Prob. 34ECh. 2.2 - Prob. 35ECh. 2.2 - Prob. 36ECh. 2.2 - Prob. 37ECh. 2.3 - Prob. 38UYKCh. 2.3 - Prob. 39UYKCh. 2.3 - Prob. 40ECh. 2.3 - Prob. 41ECh. 2.3 - Prob. 42ECh. 2.3 - Prob. 43ECh. 2.3 - Prob. 44ECh. 2.3 - Prob. 45ECh. 2.3 - Prob. 46ECh. 2.3 - Prob. 47ECh. 2.3 - Prob. 48ECh. 2.3 - Prob. 49ECh. 2.3 - Prob. 50ECh. 2.3 - Prob. 51ECh. 2.3 - Prob. 52ECh. 2.3 - Prob. 53ECh. 2.3 - Prob. 54ECh. 2.3 - Prob. 55ECh. 2.3 - Prob. 56ECh. 2.3 - Prob. 57ECh. 2.3 - Prob. 58ECh. 2.3 - Prob. 59ECh. 2.3 - Prob. 60ECh. 2.3 - Prob. 61ECh. 2.4 - Prob. 62UYKCh. 2.4 - Prob. 63UYKCh. 2.4 - Prob. 64UYKCh. 2.4 - Prob. 65UYKCh. 2.4 - Prob. 66ECh. 2.4 - Prob. 67ECh. 2.4 - Prob. 68ECh. 2.4 - Prob. 69ECh. 2.4 - Prob. 70ECh. 2.4 - Prob. 71ECh. 2.4 - Prob. 72ECh. 2.4 - Prob. 73ECh. 2.4 - Prob. 74ECh. 2.4 - Prob. 75ECh. 2.4 - Prob. 76ECh. 2.4 - Prob. 77ECh. 2.4 - Prob. 78ECh. 2.4 - Prob. 79ECh. 2.4 - Prob. 80ECh. 2.4 - Prob. 81ECh. 2.4 - Prob. 82ECh. 2.4 - Prob. 83ECh. 2.4 - Prob. 84ECh. 2.4 - Prob. 85ECh. 2.4 - Prob. 86ECh. 2.4 - Prob. 87ECh. 2.4 - Prob. 88ECh. 2.4 - Prob. 89ECh. 2.4 - Prob. 90ECh. 2.4 - Prob. 91ECh. 2.5 - Prob. 92UYKCh. 2.5 - Prob. 93UYKCh. 2.5 - Prob. 94ECh. 2.5 - Prob. 95ECh. 2.5 - Prob. 96ECh. 2.5 - Prob. 97ECh. 2.5 - Prob. 98ECh. 2.5 - Prob. 99ECh. 2.5 - Prob. 100ECh. 2.5 - Prob. 101ECh. 2.5 - Prob. 102ECh. 2.5 - Prob. 103ECh. 2.5 - Prob. 104ECh. 2.5 - Prob. 105ECh. 2.5 - Prob. 106ECh. 2.5 - Prob. 107ECh. 2.5 - Prob. 108ECh. 2.5 - Prob. 109ECh. 2.5 - Prob. 110ECh. 2.5 - Prob. 112ECh. 2.5 - Prob. 113ECh. 2.5 - Prob. 114ECh. 2.6 - Prob. 115UYKCh. 2.6 - Prob. 116UYKCh. 2.6 - Prob. 117UYKCh. 2.6 - Prob. 118UYKCh. 2.6 - Prob. 119UYKCh. 2.6 - Prob. 120UYKCh. 2.6 - Prob. 121ECh. 2.6 - Prob. 122ECh. 2.6 - Prob. 123ECh. 2.6 - Prob. 124ECh. 2.6 - Prob. 125ECh. 2.6 - Prob. 126ECh. 2.6 - Prob. 127ECh. 2.6 - Prob. 128ECh. 2.6 - Prob. 129ECh. 2.6 - Prob. 130ECh. 2.6 - Prob. 131ECh. 2.6 - Prob. 132ECh. 2.7 - Prob. 133ECh. 2.7 - Prob. 134ECh. 2.7 - Prob. 135ECh. 2.7 - Prob. 136ECh. 2.7 - Prob. 137ECh. 2.7 - Prob. 138ECh. 2.7 - Prob. 139ECh. 2.7 - Prob. 140ECh. 2.7 - Prob. 141ECh. 2.7 - Prob. 142ECh. 2.7 - Prob. 143ECh. 2.7 - Prob. 144ECh. 2.7 - Prob. 145ECh. 2 - Prob. 146ECh. 2 - Prob. 147ECh. 2 - Prob. 148ECh. 2 - Prob. 149ECh. 2 - Prob. 150ECh. 2 - Prob. 151ECh. 2 - Prob. 152ECh. 2 - Prob. 153ECh. 2 - Prob. 154ECh. 2 - Prob. 155ECh. 2 - Prob. 156ECh. 2 - Prob. 157ECh. 2 - Prob. 158ECh. 2 - Prob. 159ECh. 2 - Prob. 160ECh. 2 - Prob. 161ECh. 2 - Prob. 162ECh. 2 - Prob. 163ECh. 2 - Prob. 164ECh. 2 - Prob. 165ECh. 2 - Prob. 166ECh. 2 - Prob. 167ECh. 2 - Prob. 168ECh. 2 - Prob. 169ECh. 2 - Prob. 170ECh. 2 - Prob. 171ECh. 2 - Prob. 172ECh. 2 - Prob. 173ECh. 2 - Prob. 174ECh. 2 - Prob. 175ECh. 2 - Prob. 176ECh. 2 - Prob. 177ECh. 2 - Prob. 178E
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