Concept explainers
To write: An equation of the best fit line
To find: The
Answer to Problem 1BGP
The equation of best line is
The
Explanation of Solution
Given Information: A table showing the number of goals of leading scorers for the Mustang Girls Hockey Team.
Calculation:
An equation of the best fit line is given by,
- Here, a is the intercept and y is the slope.
The years start from 2007 and go on till 2014.
Assume the year 2007 as 1 and x be the number of years since 2007.
Find
|
|
|
|
1 | 63 | 63 | 1 |
2 | 44 | 88 | 4 |
3 | 55 | 165 | 9 |
4 | 63 | 252 | 16 |
5 | 81 | 405 | 25 |
6 | 85 | 510 | 36 |
7 | 93 | 651 | 49 |
8 | 84 | 672 | 64 |
Sum of every column is,
Calculate a as,
Calculate b as,
Substitute the values of a and b in equation (1),
- Here, x be the number of years since 2007.
Hence, the equation of best line is,
The equation of best line is shown below:
Find
|
|
|
|
|
1 | 63 | 63 | 1 | 3960 |
2 | 44 | 88 | 4 | 1936 |
3 | 55 | 165 | 9 | 3025 |
4 | 63 | 252 | 16 | 3969 |
5 | 81 | 405 | 25 | 6561 |
6 | 85 | 510 | 36 | 7225 |
7 | 93 | 651 | 49 | 8649 |
8 | 84 | 672 | 64 | 7056 |
Sum of every column is,
Calculate r as,
Therefore, the correlation coefficient is 0.8495
The correlation coefficient lies between
Chapter 4 Solutions
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Additional Math Textbook Solutions
Differential Equations and Linear Algebra (4th Edition)
College Algebra with Modeling & Visualization (5th Edition)
Algebra and Trigonometry
Introductory and Intermediate Algebra for College Students (5th Edition)
Linear Algebra with Applications (2-Download)
Linear Algebra with Applications (9th Edition) (Featured Titles for Linear Algebra (Introductory))
- 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