Why B is correct (quick reasoning)

Check slope ($\beta_1$) sign:

• $X_1$ goes from $-0.41$ to $0.40$, and $Y$ goes from $-2$ to $-0.11$

• As $X_1$ increases, $Y$ increases → positive slope

• This immediately eliminates options C and D (both have negative $\beta_1$)

Check intercept ($\alpha$) sign:

• For $X_1 = -0.41$, with $\beta_1 \approx 0.96$, the slope term = $0.96 \times -0.41 \approx -0.39$

• The actual $Y$ is $-2$, which is much lower, so $\alpha$ must be negative to bring the prediction down

• This eliminates option A

Only option B fits:

• $\alpha = -0.8967$ (negative), $\beta_1 = +0.9633$ (positive) ✅

Why the others are wrong

• A: Positive slope (ok) but positive intercept — would overpredict for negative $X_1$

• C/D: Negative slope — contradicts observed positive relationship