Question
Wins Rushing 10 2205 11 2096 11 1847 13 1903 10 1457 11 1848 10 1564...
Wins Rushing
10 2205
11 2096
11 1847
13 1903
10 1457
11 1848
10 1564
11 1821
4 2577
2 2476
7 1984
10 1917
9 1761
9 1709
6 1901
5 2288
5 2072
5 2861
6 2411
4 2289
3 2203
3 2592
4 2053
10 1979
6 2048
8 1786
2 2876
0 2560
1.What proportion of the variation in number of wins is explained by the opponent's rushing yards? Express your answer as a proportion (between 0 and 1) written to 3 decimal places.
2.What is the sample correlation coefficient r? Write your answer to 3 decimal places.
3.What is the slope for the line of best fit? Write your answer to three decimal places
4.What is the y-intercept for the line of best fit, written to two decimal places? (Here it is technically the wins-intercept.)
5.Predict the number of wins for a team if the opponent's total rushing yards were 1800 yards. Round your answer to the nearest whole number.
Homework Answers
Answer #1
1. 0.545 of the proportion in the wins is explained bby the fitted model.
2. The sample correlation coefficient is -0. 738
Which can be interpreted as there is negative correlation in the wins and total rushing yards as wins increase the number of rushing yards decrease.
3. Slope = -0. 0070 which can be interpreted as for unit increase in rushing yards the wins decrease by 0.0070
4.y intercept = 21.7882
5. For rushing yards = 1800
Predicted Wins = 21.7882 - 0.0070*1800
= 9.1431
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