13. More Computation on Points and Penalty Minutes in HockeyThe dataset OttawaSenators contains information on the number of points and the number of penalty minutes for 24 Ottawa Senators NHL hockey players. Computer output for a regression model to predict number of points for a hockey player based on the number of penalty minutes for the hockey player is shown below. The regression equation is Points=29.5-0.113 PenMins Predictor Coef SE Coef T P Constant 29.53 7.06 4.18 0.000 PenMins -0.113 0.163 -0.70 0.494 S=21.2985 R-Sq=2.15% R-Sq(adj)=0.00% Analysis of Variance Source DF SS MS F P Regression 1 219.5 219.5 0.48 0.494 Residual Error 22 9979.8 453.6 Total 23 10199.3 Use this output, together with any helpful summary statistics from the table below, to calculate the regression quantities given in parts (a) and (b) below. . Sample Size Mean Std.Dev. Points 24 25.67 21.06 PenMins 24 34.13 27.26 Table 1 Points and penalty minutes for hockey players (a) The standard deviation of the error term, sε (Round to 3 decimal places) (b) The standard error of the slope, SE (Round to 3 decimal places)
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.
13. More Computation on Points and Penalty Minutes in Hockey
The dataset OttawaSenators contains information on the number of points and the number of penalty minutes for 24 Ottawa Senators NHL hockey players. Computer output for a regression model to predict number of points for a hockey player based on the number of penalty minutes for the hockey player is shown below.
| The regression equation is | ||||
| Points=29.5-0.113 PenMins | ||||
| Predictor | Coef | SE Coef | T | P |
|---|---|---|---|---|
| Constant | 29.53 | 7.06 | 4.18 | 0.000 |
| PenMins | -0.113 | 0.163 | -0.70 | 0.494 |
| S=21.2985 | R-Sq=2.15% | R-Sq(adj)=0.00% |
| Analysis of Variance | |||||
| Source | DF | SS | MS | F | P |
|---|---|---|---|---|---|
| Regression | 1 | 219.5 | 219.5 | 0.48 | 0.494 |
| Residual Error | 22 | 9979.8 | 453.6 | ||
| Total | 23 | 10199.3 |
Use this output, together with any helpful summary statistics from the table below, to calculate the regression quantities given in parts (a) and (b) below.
| . | Sample Size | Mean | Std.Dev. |
|---|---|---|---|
| Points | 24 | 25.67 | 21.06 |
| PenMins | 24 | 34.13 | 27.26 |
Table 1 Points and penalty minutes for hockey players
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