Answer: 1.733kg

## Explanation The regression equation is given as: $$y_i = \alpha + \beta x_i$$ Where: - $y_i$ = dependent variable (foetal weight) - $x_i$ = independent variable (gestation period in weeks) - $\alpha = -4.60$ (y-intercept) - $\beta = 0.2043$ (slope) To estimate the weight at 31 weeks: $$y = -4.60 + 0.2043 \times 31$$ Breaking down the calculation: - First, calculate $0.2043 \times 31 = 6.3333$ - Then add: $-4.60 + 6.3333 = 1.7333$ Therefore, the estimated weight is **1.733 kg**. This regression model suggests that for each additional week of gestation, the foetal weight increases by approximately 0.2043 kg, starting from a baseline of -4.60 kg at week 0 (which is a theoretical intercept point, not meaningful in practical terms for this context).

Author: Tanishq Prabhu