Suppose we decide to run an experiment to investigate the relationship between Age and Fitness level of Toronto residents. We define Fitness level to be the time it takes to run 3 laps on a standard running track. We categorize Age into 3 levels: 18-30 years old, 31-50 years old, and 51-70 years old. We recruit 10 random individuals for each age group and record the time it takes to run these 3 laps. We are ultimately interested in learning whether the average Fitness level is different across age groups. How might a linear regression model be used to determine if the average Fitness level is different across only two of the age groups? . How would we write out this model relating Fitness levels of individuals to the average Fitness level in an age group, while accounting for random variation between individuals in the same age group? . What do the coefficients represent? . What test(s) could you use to determine if the average Fitness level is different across only two of the age groups? You can consider hypothesis tests outside of regression as well. . What sources of variation could explain the variability in the Fitness level we observe in our sample? Suppose we decide to run an experiment to investigate the relationship between Age and Fitness level of Toronto residents. We define Fitness level to be the time it takes to run 3 laps on a standard running track. We categorize Age into 3 levels: 18-30 years old, 31-50 years old, and 51-70 years old. We recruit 10 random individuals for each age group and record the time it takes to run these 3 laps. We are ultimately interested in learning whether the average Fitness level is different across age groups. How might a linear regression model be used to determine if the average Fitness level is different across only two of the age groups? . How would we write out this model relating Fitness levels of individuals to the average Fitness level in an age group, while accounting for random variation between individuals in the same age group? . What do the coefficients represent? . What test(s) could you use to determine if the average Fitness level is different across only two of the age groups? You can consider hypothesis tests outside of regression as well. . What sources of variation could explain the variability in the Fitness level we observe in our sample