1. **State the problem:** We analyze the relationship between time spent texting and time spent exercising for 24 students using a scatter plot and line of best fit.
2. **Interpret the scatter plot:** The points descend from top-left to bottom-right, indicating that as texting time increases, exercise time decreases.
3. **Correlation:** This pattern shows a **negative correlation** between texting and exercising.
4. **Line of best fit:** The line goes roughly from (1,9) to (11,1). We find its equation.
5. **Calculate slope $m$:**
$$m=\frac{1-9}{11-1}=\frac{-8}{10}=-0.8$$
6. **Calculate intercept $b$ using point (1,9):**
$$9 = -0.8 \times 1 + b \Rightarrow b = 9 + 0.8 = 9.8$$
7. **Equation of line:**
$$y = -0.8x + 9.8$$
8. **Predict exercise time for texting 6 hours:**
$$y = -0.8 \times 6 + 9.8 = -4.8 + 9.8 = 5$$
**Final answers:**
(a) As texting time increases, exercise time tends to **decrease**.
(b) There is a **negative correlation** between texting and exercising.
(c) Predicted exercise time for 6 hours texting is approximately **5 hours**.
Texting Exercise 37858F
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