Subjects data analysis

Scatter Correlation A0045F

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1. **State the problem:** We analyze the relationship between the number of hours worked and the amount of money spent on entertainment for 21 students using a scatter plot. 2. **Interpret the scatter plot:** The points mostly follow a line with a positive slope, indicating that as the number of hours worked increases, the amount of money spent on entertainment also tends to increase. 3. **Correlation:** Since the points cluster around a positively sloped line, there is a positive correlation between hours worked and money spent. 4. **Prediction using line of best fit:** The line of best fit can be used to estimate the amount spent for a given number of hours worked. For 8 hours, the predicted amount spent is approximately the y-value on the line at x=8. 5. **Summary answers:** - (a) As the number of hours increases, the amount of money spent tends to **increase**. - (b) There is a **positive** correlation between the number of hours worked and the amount of money spent. - (c) Using the line of best fit, a student working 8 hours would spend approximately **20 dollars**. This is based on the positive slope and clustering of points near the line of best fit around those values.