Comparing Data Sets Assignment
Use the regression calculator to compare the teams' number of runs with their number of wins. What is the y-intercept of the trend line, to the nearest hundredth?
-23.21
Use the regression calculator to compare the teams' total home runs with their number of wins. What is the average rate of change of the trend line? Round to the nearest hundredth.
0.39
Which graph shows data that would result in the most accurate prediction of the number of games a baseball team will win in a season based on the total number of home runs scored that season?
A
Which statements are true about these data sets? Check all that apply.
B. Both sets have positive correlation. E. The Home Runs set has a greater rate of change than the Runs set.
Use the regression calculator to compare the teams' number of home runs with their number of wins. The equation of the trend line is
B. y=0.39x+20.23
Use the regression calculator to compare the teams' number of runs with their number of wins. The equation of the trend line is
D. y=0.15x-23.21
Given data for different baseball teams' number of home runs and wins for the past season, how would you find the equation of the trend line?
Plot the data using home runs as the independent variable and wins as the dependent variable. Graph the trend line. Use the slope-intercept form to write the equation of the trend line.
Compare the two leagues and predict which league would be more likely to win a game.
Teams in the second league seem more consistent; there are low and high outliers in the data for the first league. A team in the league with the more consistent number of home runs and wins will probably be more likely to win. Teams in the second league are more likely to get home runs and win, so a team in that league is more likely to win.
Marco thinks the total number of runs a team scores in a season is a better indicator of how many wins it will have in that season than the number of home runs it gets. Do you agree with Marco? Explain.
Yes, total runs are a better indicator of wins than home runs. Both sets have positive correlations. The Total Runs set has a stronger linear association because the data points sit closer to the trend line.
