Concept explainers
(a)
The scatter-plot for the height in inches comparing to the weight in pounds.
(a)
Explanation of Solution
Given: The given data for the height in inches and weight in pounds is shown as,
Height (inches) | Weight (pounds) |
62 | 115 |
63 | 124 |
65 | 120 |
67 | 134 |
67 | 140 |
68 | 138 |
68 | 144 |
68 | 152 |
69 | 147 |
72 | 155 |
73 | 168 |
73 | 166 |
Graph: The graph for the scatter-plot between the height in inches and weight in pounds is shown as,
Conclusion: As the height in inches increases, the weight in pounds also increases. Therefore, there is a
(b)
The graph of line of fit for the given data.
(b)
Explanation of Solution
Given: The given data for the height in inches and weight in pounds is shown as,
Height (inches) | Weight (pounds) |
62 | 115 |
63 | 124 |
65 | 120 |
67 | 134 |
67 | 140 |
68 | 138 |
68 | 144 |
68 | 152 |
69 | 147 |
72 | 155 |
73 | 168 |
73 | 166 |
Graph: The graph for the line of fit using the
(c)
The equation of line of fit in slope-intercept form.
(c)
Answer to Problem 10PPS
The equation for the line of fit is
Explanation of Solution
Given: The given data for the height in inches and weight in pounds is shown as,
Height (inches) | Weight (pounds) |
62 | 115 |
63 | 124 |
65 | 120 |
67 | 134 |
67 | 140 |
68 | 138 |
68 | 144 |
68 | 152 |
69 | 147 |
72 | 155 |
73 | 168 |
73 | 166 |
Calculation: The slope
Now, the line of fit having slope
(d)
The normal weight for a man who is 84 inches tall.
(d)
Answer to Problem 10PPS
The weight for the man will be 221.66lb (approx.).
Explanation of Solution
Given: The given data for the height in inches and weight in pounds is shown as,
Height (inches) | Weight (pounds) |
62 | 115 |
63 | 124 |
65 | 120 |
67 | 134 |
67 | 140 |
68 | 138 |
68 | 144 |
68 | 152 |
69 | 147 |
72 | 155 |
73 | 168 |
73 | 166 |
Calculation: The weight for a man who is 84 inches tall can be calculated by plugging
(e)
If the weight of the man is 188 pounds then use the equation of line of fit to find the estimated height of man.
(e)
Answer to Problem 10PPS
The height of the man will be 77.10 inches.
Explanation of Solution
Given: The given data for the height in inches and weight in pounds is shown as,
Height (inches) | Weight (pounds) |
62 | 115 |
63 | 124 |
65 | 120 |
67 | 134 |
67 | 140 |
68 | 138 |
68 | 144 |
68 | 152 |
69 | 147 |
72 | 155 |
73 | 168 |
73 | 166 |
Calculation: The height for a man whose weight is 188 pounds can be calculated by plugging
Chapter 4 Solutions
Algebra 1
Additional Math Textbook Solutions
Elementary Algebra
Linear Algebra and Its Applications (5th Edition)
PREALGEBRA
College Algebra (7th Edition)
- Algebra and Trigonometry (6th Edition)AlgebraISBN:9780134463216Author:Robert F. BlitzerPublisher:PEARSONContemporary Abstract AlgebraAlgebraISBN:9781305657960Author:Joseph GallianPublisher:Cengage LearningLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
- Algebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSONIntroduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge PressCollege Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education