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AP Stat Chapter 13
| Term | Definition |
|---|---|
| describing a scatterplot | C - context D - direction (positive/negative) O - outliers/unusual points F - form (linear/nonlinear) S - strength (correlation coeff, close to 1 or -1 = strong, close to 0 = weak) |
| correlation coefficient | direction (positive/negative), only used for linear models, between -1 and 1 (stronger if close to -1 or 1) |
| interpret correlation coefficient | the linear relationship between (x context) and (y context) is (strength) and (direction) (correlation coefficient) |
| least squares regression line | y-hate = a+bx (a= y-intercept, b=slope), be careful with extrapolation |
| residual | distance between actual value and predicted value (A-P) |
| interpret residuals | the actual (y-context) is (residual) above/below that predicted value when x=# |
| interpret y-intercept | when (x-context)=0, the predicted (y-context) is (y-intercept) |
| interpret slope | when (x context) increases by 1 unit, the predicted (y-context) increases/decreases by (slope) |
| point always on LSRL | (x-bar, y-bar) |
| extrapolation | making a prediction outside of the domain (x-values) |
| positive residual | A > P |
| negative residual | A < P |
| nonlinear models | when residual plot is curved either upwards or downwards or fans out from a point on x=0 |
| interpret standard deviation of residuals | the actual (y-context) typically varies from the value predicted by the LSRL by (standard deviation) |
| interpret coefficient of determination | about r^2% of the variation in the (y-context) can be explained by the linear relationship with (x-context) |
| computer output | top left = y-intercept, bottom left = slope, s, r, r^2 on the bottom |
| influential points | any point that if removed or added impacts r, the slope, or the y-intercept |
| outlier | large residual/out of pattern |
| high leverage point | very large/very small x-value, outside of domain |
| outlier below LSRL | slope stays same, decreased y-intercept, decreased r |
| outlier above LSRL | slope stays same, increased y-intercept, decreased r |
| outlier to right/left of LSRL | decreased slope, increased y-intercept, decreased r |
| if asked for an increase of x | only compute that value times the slope |
| r can only be... | in a linear relationship and has no units |
Created by:
ts2819