
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
University Calculus: Early Transcendentals (4th Edition)
Algebra and Trigonometry (6th Edition)
Thinking Mathematically (6th Edition)
Basic Business Statistics, Student Value Edition
Pre-Algebra Student Edition
- Solve the following system of equations: 50x+20y=1800 10x+3y=300arrow_forward> > > we are hiring Salesforce Admin Location: Remote Key Responsibilities: Administer Salesforce Sales & Revenue Cloud (CPQ & Billing) Configure workflows, validation rules & dashboards Automate processes using Flows & Process Builder Collaborate with Sales, Finance & Marketing teams Manage user roles & security Apply: Hr@forcecraver.comarrow_forwardAnswer this questionarrow_forward
- 1. vector projection. Assume, ER1001 and you know the following: ||||=4, 7=-0.5.7. For each of the following, explicitly compute the value. འབ (a) (b) (c) (d) answer. Explicitly compute ||y7||. Explain your answer. Explicitly compute the cosine similarity of and y. Explain your Explicitly compute (x, y). Explain your answer. Find the projection of onto y and the projection of onto .arrow_forward2. Answer the following questions using vectors u and v. --0-0-0 = find the the cosine similarity and the angle between u and v. འརྒྱ (a) (b) find the scalar projection of u onto v. (c) find the projection of u onto v. (d) (e) (f) find the scalar projection of onto u. find the projection of u onto u. find the projection of u onto and the projection of onto . (Hint: find the inner product and verify the orthogonality)arrow_forwardPlease type out answerarrow_forward
- The function f(x) = log x is transformed to produce g(x) = log (x) – 3. Identify the type of transformation and describe the change. Please type out answerarrow_forwardEach graph below is the graph of a system of three linear equations in three unknowns of the form Ax = b. Determine whether each system has a solution and, if it does, the number of free variables. A. O free variables ✓ B. no solution C. no solution D. no solution E. 1 free variable F. 1 free variablearrow_forwardSolve the following systems of equations and show all work.y = x2 + 3y = x + 5 Please type out answerarrow_forward
- 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





