A football fan wishes to see how the number of pass attempts (not completions) relate to the number of yards gained for quarterbacks in past NFL season playoff games. The data are shown for five quarterbacks. Describe the relationships. Pass attempts x 116 90 82 108 92 Yards gained y 1001 823 851 873 839 Find the simple linear regression equation that best describes these data. Plot trend line and linear estimating equation on answer sheet with suitable scale. Estimate number of Yards gained for Pass attempts x= 150.
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.
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A football fan wishes to see how the number of pass attempts (not completions) relate to the number of yards gained for quarterbacks in past NFL season playoff games. The data are shown for five quarterbacks. Describe the relationships.
|
Pass attempts x |
116 |
90 |
82 |
108 |
92 |
|
Yards gained y |
1001 |
823 |
851 |
873 |
839 |
- Find the simple linear regression equation that best describes these data.
- Plot trend line and linear estimating equation on answer sheet with suitable scale.
- Estimate number of Yards gained for Pass attempts x= 150.
- Find
correlation coefficient , coefficient determination and interpret your
results.
- Find Standard Error and explain.
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