If N = 8, ΣX = 160, ΣX ² = 4656, ΣY = 79, Σ Y ²= 1309, and ΣXY = 2430, what is the value of b Y ? A) 0.9217 B) - 1.8010 C) 0.5838 D) 0.7922

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Quizplus · Accepted Answer

The value of $b_Y$ (the slope of the regression line when predicting Y from X) can be calculated using the formula: $$b_Y = \frac{N\sum XY - (\sum X)(\sum Y)}{N\sum X^2 - (\sum X)^2}$$ Substituting the given values: $$b_Y = \frac{8(2430) - (160)(79)}{8(4656) - (160)^2}$$ $$b_Y = \frac{19440 - 12640}{37248 - 25600}$$ $$b_Y = \frac{6800}{11648}$$ $$b_Y \approx 0.5838$$

If N = 8, ΣX = 160, ΣX 2 =

If N = 8, ΣX = 160, ΣX ² =