2.198 Runs and Wins in Baseball In Exercise 2.136 on page 100, we looked at the

Question

2.198 Runs and Wins in Baseball In Exercise 2.136 on page 100, we looked at the relationship between total hits by team in the 2010 season and division (NL or AL) in baseball. Two other variables in the BaseballHits dataset are the number of wins and the number of runs scored during the season. The dataset consists of values for each variable from all 30 MLB teams. From these data we calculate the regression line: Wins 0.362 + 0.114(Runs) (a) Which is the explanatory and which is the response variable in this regression line? (b) Interpret the intercept and slope in context. (c) The Oakland A's won 81 games while scoring 663 runs. Predict the number of games won by Oakland using the regression line. Calculate the residual. Were the A's efficient at winning games with 663 runs?

Explanation / Answer

a)here explanatory variable is number of runs scored in the season and response variable is number of wins

b)

intercept 0.362 indicate that for 0 number of runs ; predicted wins are 0.362 ; which is meaningless as without scoring one can not win anything,

slope 0.114 indicate that for each increase in 1 unit of run ; expected number of wins increase by 0.114.

c)

predicted wins =0.362+0.114*663=75.944

residual =actual -predicted =81-75.944=5.056

here as actual value is higer then prediced ; therefore A is efficient cuase there actual winning is higher than expected average

Related Questions

Navigate

• Browse (All)
• Browse 2
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.