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Unit 7 Review
Scatter plots, correlation coefficients, regression lines
| Question | Answer |
|---|---|
| What is the slope equation? | Slope = Change in y/Change in x = (y2 - y1)(x2 - x1) |
| What is the slope intercept formula? | y = mx + b The m is our slope and tells us whether the data has a negative or positive correlation. |
| What is the point slope formula? | y - y1 = m(x - x1) We can solve for by by substituting for y1 and x1. |
| Define correlation coefficient | The correlation coefficient is a statistical measure that calculates the strength of the relationship between the relative movements of two variables. The values range between -1.0 and 1.0. |
| r = 0 | no correlation |
| r = 1 | perfect positive correlation |
| r = -1 | perfect negative correlation |
| Interpret r = -.5 | This is a moderate negative correlation. It means that as one value increases, the other decreases. |
| In a regression equation, what does the slope represent? ŷ = mx + b | The slope m, tells us how much the response variable changes when the explanatory variable increases by 1 unit. |
| explanatory variable | The independent variable. The x |
| response variable | The dependent variable. The y |
| lurking variable | An outside factor that is the hidden cause to a bivariate situation that has a correlation, but no causation. |