Final answer:
The scatter plot indicates an increase in money spent on entertainment as the number of hours worked increases, suggesting a positive correlation. To predict spending for a student working 12 hours, the line of best fit equation is used, which indicates spending between that of students working fewer and more hours.
Step-by-step explanation:
Based on the description of the scatter plot showing the number of hours worked and money spent on entertainment for 25 students, questions about the data can be answered as follows:
- As the number of hours worked increases, the amount of money spent on entertainment tends to increase as well. This is inferred from the positive direction of the line of best fit.
- For these 25 students, there is likely a correlation between the number of hours worked and the amount of money spent on entertainment, as suggested by the existence of a line of best fit.
- Using the line of best fit, to predict the approximate money spent on entertainment by a student working 12 hours, we would substitute the number of hours into the linear equation derived from the line of best fit (ŷ = a + bx). Without the specific equation, we cannot give an exact prediction, but this student would likely spend more than a student working fewer hours and less than a student working more hours, following the trend established by the line of best fit.
These insights are gained through methods of linear regression and correlation analysis, which help understand the strength and direction of the relationship between two variables.