NHL Assists and Total Points The number of assists and tota points for a sample of NHL scoring leaders from the NHL are sh Assists x 58 59 68 44 65 67 83 Total points y 73 74 83 59 80 82 98 Send data to Excel The correlation coefficient for the data is r=1 and a= 0.01. Shoul analysis be done? The regression analysis should not be done. O The regression analysis should be done. Find the equation of the regression line. y'= a+bx a =| 0.01 b =| 1 Find y' when x= 50. y' =| 59
Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
![### NHL Assists and Total Points
The number of assists and total points for a sample of NHL scoring leaders from the NHL are shown below:
| Assists \( x \) | 58 | 59 | 68 | 44 | 65 | 67 | 83 |
|-----------------|-----|-----|-----|-----|-----|-----|-----|
| Total points \( y \) | 73 | 74 | 83 | 59 | 80 | 82 | 98 |
**Option Available:**
- Send data to Excel
### Statistical Analysis
#### The correlation coefficient for the data is \( r = 1 \) and \( \alpha = 0.01 \). Should the regression analysis be done?
- [ ] The regression analysis should not be done.
- [x] The regression analysis should be done.
#### Finding the Equation of the Regression Line:
Given the linear equation:
\[ y' = a + bx \]
where,
\[ a = 0.01 \]
\[ b = 1 \]
##### Example Calculation:
To find \( y' \) when \( x = 50 \):
\[ y' = 0.01 + 1(50) = 59 \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fea0820f3-64e4-4dfd-b401-c1fa00677880%2F957c3777-261a-4879-ade0-17ebfaf13d49%2Fpeiwyj7_processed.jpeg&w=3840&q=75)
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