Subjects data analysis

Texting Exercise 37858F

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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**.