Concept explainers
To find: The
Answer to Problem 19E
The
Explanation of Solution
Given:
The points are
Calculation:
Let the general formula to determine the correlation coefficient r for a set of data is:
In order to determine value of the value of r, construct a table as shown below:
x | y | |||
-3 | 18 | -54 | 9 | 324 |
-1 | 9 | -9 | 1 | 81 |
2 | 3 | 6 | 4 | 9 |
4 | -8 | -32 | 16 | 64 |
Table 1
Substitute the values from the above table into the formula (1) and simplify.
Since the value of r is very close to -1, there is a strong negative linear correlation between the data points. So, the least squares regression line, which is the linear model, fits the data very well.
Chapter 13 Solutions
EBK PRECALCULUS W/LIMITS
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning