The image presents a scatter plot where quiz score is plotted on the y-axis, and time spent on homework per week (in hours) is on the x-axis. A line of best fit is also drawn through the points. The question asks for the meaning of the y-value when $x = 1$.

Key understanding:

• $x = 1$ represents 1 hour spent on homework per week.
• The corresponding y-value on the line of best fit represents the predicted quiz score based on the trend shown by the data for a student who studies for 1 hour.

Thus, the y-value at $x = 1$ is the predicted quiz score for a student who spends 1 hour on homework. This is the first option:

• A prediction of a student's quiz score if they spent 1 hour on their homework.

Would you like to discuss more details or have any further questions?

Related Questions:

1. How is the line of best fit used to make predictions in data analysis?
2. What are the possible limitations of relying on the line of best fit for predictions?
3. How does the slope of the line affect predictions for higher values of $x$?
4. How would the quiz score prediction change if the slope of the line were steeper?
5. What does the y-intercept of this graph represent in this context?

Tip: The slope of the line in a scatter plot tells you the rate of change between the two variables; here, it indicates how much the quiz score changes for each additional hour spent on homework.