| Variable Names (optional): | ||
| Explanatory (x) | Response (y) | |
| Data goes here (enter numbers in columns): | ||
| Include Regression Line: | ||
| Include Regression Inference: | ||
| Null Hypothesis: | $H_0: \beta=0$ | |
| Alternative Hypothesis: | $H_a: \beta$ $0$ | |
| Significance level: | $\alpha=$ |
- Values of the response variable $y$ vary according to a normal distribution with standard deviation $\sigma$ for any value of the explanatory variable $x$. The quantity $\sigma$ is an unknown parameter.
- Repeated values of $y$ are independent of one another.
- The relationship between the mean response of $y$ (denoted as $\mu_y$) and explanatory variable $x$ is a straight line given by $\mu_y=\alpha+\beta x$ where $\alpha$ and $\beta$ are unknown parameters.
Display output to
| Regression Line: | |
| Correlation: | |
| R-squared: |
| for $\mu_y$ at $x=$: | |
| for $y$ at $x=$: |
| Residual Plot | Histogram of the Residuals | |
| Residuals $y-\hat{y}$ | ||
| $y-\hat{y}$ |
| Normal Probability Plot of the Residuals | Boxplot of the Residuals | |
| Quantiles of the Residuals | ||
| Standard Normal Quantiles | $y-\hat{y}$ | |