# Another Olympic Speed Skating Modeling Problem

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Common Core Standards
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This is a follow-up exercise to Analyzing Winning Olympic Speed Skating Times. In this exercise, Another Olympic Speed Skating Modeling Problem, the student is asked to use a graphing utility to make a scatter plot of a set of two variable data (the winning times in the men’s 5000 meter Olympic speed skating contests from 1924 to 2018), draw a line of best fit, and find its equation. Next, the student is asked to use the equation of the line of best fit to calculate and interpret values of both the dependent and independent variable. Additionally, the student is asked to find and interpret the slope and y-intercept of the equation. This exercise provides an opportunity to gain further experience using a graphing utility for regression and interpreting results in a real-world context. Use this exercise to introduce linear regression in Algebra and Statistics courses. An answer key is provided.

Related Common Core Standards:

S-ID.6: Represent data on two quantitative variables on a scatter plot, and describe how the variables are related.

a. Fit a function to the data; use functions fitted to data to solve problems in the context of the data. Use given functions or choose a function suggested by the context. Emphasize linear, quadratic, and exponential models.

b. Informally assess the fit of a function by plotting and analyzing residuals.

c. Fit a linear function for a scatter plot that suggests a linear association.

S-ID.7: Interpret the slope (rate of change) and the intercept (constant term) of a linear model in the context of the data.

S-ID.8. Compute (using technology) and interpret the correlation coefficient of a linear fit.

Total Pages
5 pages
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50 minutes
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