Score: 0 of 5 pts 04.2.15 An author of a book diecusses how satics can be used t

Question

Score: 0 of 5 pts 04.2.15 An author of a book diecusses how satics can be used to jusge both a basabeil players potenial aned a lean's atilty to win games One aspect ot thes analysis es that a feam's on-base peioentage ts the best peediclor of winning percentage. The on base pescentsge is the proportion of tme a player reaches a base For example, an on-base percentage of 03 woud masn he player sakty reaches bases 3 tmes out of 10, on awaje For a certan basebal seiron winng pescentage, y and on base percentage, x, are treary relañed try the keast squares regressien squation y 2 96x-0 4875 Complete parts (a) trecugh d) Yes, t would be a good oee twould be a bad ides id) A certain team had an on-base percentage of 0.324 and a wnrnng peicentage of 0 548 Whal s the resadual lor that Woam? How would you interpret ths resida? The resdal for the team is {Rond o ltur oc mal places as,reeded ) Ll

Explanation / Answer

Answer: Residuals = 0.0765

Solution:

True value of y (winning percentage ) = 0.548

True value of x (on- base percentage) = 0.324

Regression equation y = 2.96x - 0.4875 , y here is the predicted value,

so for x = 0.324, predicted value of y will be given by

y = 2.96(0.324) - 0.4875 = 0.47154

Residual is given by = True value - predicted value = 0.548 - 0.47154= 0.07646

This can be round to four places as 0.0765

Residuals tells us how far our true value lies from the predcited value, lower the residuals better is the regression model.

Related Questions

Navigate

• Browse (All)
• Browse S
• Subjects

---

---

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