1. A coefficient of determination equal to zero indicates that there is no relationship between the independent and dependent variables.
2. The hypothesis tests for the correlation coefficient, and the coefficient of determination will always produce the same conclusions.
3. A smaller standard error of the slope increases the likelihood that we can establish a significant relationship between the independent and dependent variables.
4. When the p-value for testing the significance of the regression slope is less than alpha, we conclude that there is a significant relationship between the dependent and independent variables.
5. If the confidence interval for the regression slope includes zero, we would have some evidence that could be equal to zero, which would indicate that there may not be a relationship between the dependent and independent variables.
6. An assumption of regression analysis is that the relationship between the independent and dependent variables is linear.
7. Using the regression equation to predict values for the dependent variable beyond the range of the data may provide results that are unreliable.