Concept explainers
To write: An equation of the best fit line
To find: The
Answer to Problem 1AGP
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 | 30 | 30 | 1 |
2 | 23 | 46 | 4 |
3 | 41 | 123 | 9 |
4 | 35 | 140 | 16 |
5 | 31 | 155 | 25 |
6 | 43 | 258 | 36 |
7 | 33 | 231 | 49 |
8 | 45 | 360 | 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 | 30 | 30 | 1 | 900 |
2 | 23 | 46 | 4 | 529 |
3 | 41 | 123 | 9 | 1681 |
4 | 35 | 140 | 16 | 1225 |
5 | 31 | 155 | 25 | 961 |
6 | 43 | 258 | 36 | 1849 |
7 | 33 | 231 | 49 | 1089 |
8 | 45 | 360 | 64 | 2025 |
Sum of every column is,
Calculate r as,
Therefore, the correlation coefficient is 0.6142.
The correlation coefficient lies between
Chapter 4 Solutions
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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