The maximum weights (in kilograms) for which one repetition of a half-squat can be performed and the jump heights (in centimeters) for 12 international soccer players are given in the accompanying table. The correlation coefficient, rounded to three decimal places, is r = 0.699. At α = 0.05, is there enough evidence to conclude that there is a significant linear correlation between the variables? Determine the standardized test statistic. t=? Maximum_weight,_x Jump_height,_y 190 60 185 56 155 55 180 60 175 55 170 65 150 53 160 50 160 50 180 58 190 60 210 64
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.
The maximum weights (in kilograms) for which one repetition of a half-squat can be performed and the jump heights (in centimeters) for 12 international soccer players are given in the accompanying table. The
Determine the standardized test statistic.
t=?
| Maximum_weight,_x | Jump_height,_y |
| 190 | 60 |
| 185 | 56 |
| 155 | 55 |
| 180 | 60 |
| 175 | 55 |
| 170 | 65 |
| 150 | 53 |
| 160 | 50 |
| 160 | 50 |
| 180 | 58 |
| 190 | 60 |
| 210 | 64 |
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