Find the regression equation, letting the first variable be the predictor (x) variable. Using the listed lemon/crash data, where lemon imports are in metric tons and the fatality rates are per 100,000 people, find the best predicted crash fatality rate for a year in which there are
500
metric tons of lemon imports. Is the prediction worthwhile?
Lemon Imports |
230 |
270 |
364 |
461 |
526 |
|
---|---|---|---|---|---|---|
Crash Fatality Rate |
16.1 |
16 |
15.7 |
15.5 |
15.2 |
Find the equation of the regression line.
yhat= _+ (_)x
x(Lemon Imports) | y (Crash Fatality Rate) | xy | x² | y² |
230 | 16.1 | 3703 | 52900 | 259.21 |
270 | 16 | 4320 | 72900 | 256 |
364 | 15.7 | 5714.8 | 132496 | 246.49 |
461 | 15.5 | 7145.5 | 212521 | 240.25 |
526 | 15.2 | 7995.2 | 276676 | 231.04 |
Σx=1851 | Σy=78.5 | Σxy=28878.5 | Σx²=747493 | Σy²=1232.99 |
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