1. **State the problem:** We have data points showing the relationship between years of experience ($x$) and amount charged per hour ($y$). We want to find the line of best fit and use it to predict the charge for 14 years of experience. 2. **Line of best fit formula:** The line of best fit is generally written as $$y = mx + b$$ where $m$ is the slope and $b$ is the y-intercept. 3. **Approximate the line:** From the scatter plot, the points roughly start near $(0,2)$ and go up to about $(22,20)$. Calculate slope: $$m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{20 - 2}{22 - 0} = \frac{18}{22} \approx 0.82$$ 4. **Find y-intercept $b$:** Using point $(0,2)$, $$b = y - mx = 2 - 0.82 \times 0 = 2$$ 5. **Equation of line:** $$y = 0.82x + 2$$ 6. **Predict for 14 years:** Substitute $x=14$: $$y = 0.82 \times 14 + 2 = 11.48 + 2 = 13.48$$ 7. **Final answers:** (a) Line of best fit: $$y = 0.82x + 2$$ (b) Predicted charge for 14 years: $$13.48$$ dollars per hour.