The following table shows the hours studied and corresponding test grade earned by students on a recent test. Calculate the correlation coefficient, r, and determine whether r is statistically significant at the 0.010.01 level of significance. Round your answer to the nearest thousandth. Critical Values of the Pearson Correlation Coefficient Hours Studied and Test Grades Hours Studied 0.5 1.25 1.5 2.25 3 4.25 4.5 5 5.25 6.75 Test Grade 70 82 73 85 63 84 96 86 96 94 Copy Data
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 following table shows the hours studied and corresponding test grade earned by students on a recent test. Calculate the
Critical Values of the Pearson Correlation Coefficient
| Hours Studied | 0.5 | 1.25 | 1.5 | 2.25 | 3 | 4.25 | 4.5 | 5 | 5.25 | 6.75 |
|---|---|---|---|---|---|---|---|---|---|---|
| Test Grade | 70 | 82 | 73 | 85 | 63 | 84 | 96 | 86 | 96 | 94 |
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