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The question asks for the expected change in temperature if the time increases by 5 hours, based on the trend line equation shown in the scatter plot.

The equation of the trend line is:

\[
y = 1.85x + 0.04
\]

Where:
- \( y \) is the temperature change (in °C),
- \( x \) is the time (in hours).

To find the expected change in temperature after an increase of 5 hours, we need to calculate how much the temperature will increase based on the slope of the trend line.

### Key Insight:
The slope of the trend line (\(1.85\)) represents the rate of change in temperature per hour. Therefore, for every hour, the temperature increases by \(1.85^\circ C\).

### For 5 hours:
\[
\text{Temperature change} = 1.85 \times 5 = 9.25^\circ C
\]

This is closest to **"The temperature will increase by approximately 10°C."**

### Final Answer:
The correct option is **"The temperature will increase by approximately 10°C."**

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Would you like more details or have any questions?

Here are 5 related questions to expand your understanding:
1. How does the slope of a line affect predictions in linear regression?
2. What would happen if the slope of the trend line was negative?
3. How would the prediction change if you were asked about a 2-hour increase instead?
4. Can the intercept value (\(0.04\)) affect the rate of change in the temperature?
5. What are other real-world examples of interpreting trend lines?

**Tip:** The slope in a trend line tells you the rate of change, which helps predict values even outside the given data range.

Based on the trend line in the scatter plot, if the time increases by 5 hours, what is the expected change in temperature?

Determine the expected temperature change over time using linear regression. Based on the trend line equation, we explore how temperature increases with time, focusing on a 5-hour period. This problem is ideal for high school students learning linear regression concepts.

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