• Write a linear equation given a scenario
• Make a scatter plot using data points and describe any patterns
• Find a line that best fits the data in a scatter plot
• Use a line of best fit to make predictions based on data

Marathon Training Progress

Jake is training for his first marathon and wants to use data to track his progress and set realistic goals. He records his running times and distances to analyze his improvement over time.

Tracking Running Performance

Over the past month, Jake has recorded his running data from various training runs:

Training Run Data:

Distance (miles)	Time (minutes)
3	27
5	42
6	55
8	68
10	85
12	102

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Try It: Based on the pattern you see, do you think there’s a strong linear relationship between distance and time? What would this tell us about Jake’s running pace?

Question Help: Finding a Linear Model from Data

1. Choose two points that appear close to the trend line
2. Calculate the slope (rate of change)
3. Use point-slope form to write the equation
4. Check your model against other data points