1. The problem gives a scatter plot showing the relationship between time spent watching TV ($x$) and time spent doing homework ($y$). 2. We need to find the line of best fit, which has the form $$y = mx + b$$ where $m$ is the slope and $b$ is the y-intercept. 3. From the scatter plot description, the data points show a negative correlation, so $m$ will be negative. 4. Using approximate points from the plot (e.g., when $x=0$, $y\approx 32$ and when $x=32$, $y\approx 0$), calculate the slope: $$m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{0 - 32}{32 - 0} = \frac{-32}{32} = -1$$ 5. The y-intercept $b$ is approximately 32 (the value of $y$ when $x=0$). 6. So, the approximate equation of the line of best fit is: $$y = -1x + 32$$ 7. For part (b), predict the time spent doing homework when a student watches TV for 15 hours: $$y = -1(15) + 32 = -15 + 32 = 17$$ 8. Rounded to the nearest hundredth, the prediction is 17.00 hours. Final answers: (a) $$y = -1.00x + 32.00$$ (b) 17.00 hours