Data was collected on the average number of yards of a golfer’s length of drive and game score. Excel returned the following analysis. Regression Statistics Multiple R 0.856 R Square 0.733 Adjusted R Square 0.643 Standard Error 1.657 Observations 5 Coefficients Std Error Intercept 93.399 7.918 X Variable 1 -0.089 0.031 How many data pairs formed the sample State the value of the coefficient of determination State the value of the correlation coefficient Write the regression equation in the form What percent of variation in score is NOT explained by the golfer's drive length in the regression equation
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.
Data was collected on the average number of yards of a golfer’s length of drive and game score. Excel returned the following analysis.
| Regression Statistics | |
| Multiple R | 0.856 |
| R Square | 0.733 |
| Adjusted R Square | 0.643 |
| Standard Error | 1.657 |
| Observations | 5 |
| Coefficients | Std Error | |
| Intercept | 93.399 | 7.918 |
| X Variable 1 | -0.089 | 0.031 |
How many data pairs formed the sample
State the value of the coefficient of determination
State the value of the
Write the regression equation in the form
What percent of variation in score is NOT explained by the golfer's drive length in the regression equation
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