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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