See Table 1 for data on the ratings of quarterbacks for the NFL 2008 season (The

Question

See Table 1 for data on the ratings of quarterbacks for the NFL 2008 season (The Sports Network). We suspect that "Rating" (y) is related to average yards per pass attempt "Yds" (x) (a) Calculate the ordinary least squares estimates of the slope and intercept and graph the regression model (b) Give an interpretation of the slope and intercept. (c) To increase the mean rating by 5 points, how much increase in the average yards per pass attempt must be generated? (d) Given that x-7.21 yards, find the fitted value of x and the corresponding residual 1 Rating 105.5 3 Density 1 Team SD 1 Yds 2 Car 300CISRT-8 CARAVAN 2WD CROSSFIRE ROADSTER DAKOTA PICKUP 2WD DAKOTA PICKUP 4WD DURANGO 2WD GRAND CHEROKEE 2WD GRAND CHEROKEE 4WD LIBERTY/CHEROKEE 2WD LIBERTYICHEROKEE 4WD NEON/SRT-4/SX 2.0 PACIFICA 2WD PACIFICA AWD PT CRUISER RAM 1500 PICKUP 2WD RAM 1500 PICKUP 4WD SEBRING 4-DR STRATUS 4-DR TOWN & COUNTRY 2WD VIPER CONVERTIBLE WRANGLERTJ 4WD 2 Engine In3 2 MPG 1 Player Philip Rivers Chad Pennington Kurt Warner Drew Brees Peyton Manning Aaron Rodgers Matt Schaub Tony Romo Jeff Garcia Matt Cassel Matt Ryan Shaun Hill Seneca Wallace Eli Manning McNabb Eli Manning Trent Edwards Jake Delhomme Jason Campbell David Garrard Drett Fevre Joe Flacco Kerry Collins 3 Compress 2470 2330 1800 226 27.3 3160 2310 4360 1880 3670 89.4 2250 2650 4970 2620 2900 1670 2540 3840 3800 4600 1900 2530 2920 4990 1670 CAR WAS 6.41 500 NYJ 6.65 Kyle Orton JaMarcus Russell Tyler Thigpen Gus Frerotte Marc Buger Ryan Fitzpatrick Derek Anderson 3450 3600 2850 1590 3770 3850 CLE 32 3570 2620 1890 3030 3030 28.2

Explanation / Answer

a)

The least square estimates of Intercept and slop are

Intercept=40.1684

Slope=6.3128

b) Interpretation: 1) Intercept: If Yds is 0 then we predict the rating is 40.16

2) Slope : If Yds is increased by 1 yard then we predict Rating will increased by 6.312 points

c) To increase the mean rating by 5 points the 1.2624 average yard per pass attempt must be generated

d) Fitted value of Y when x=7.21 is 85.6841 with residual 4.5158

Related Questions

Navigate

• Browse (All)
• Browse S
• Subjects

---

---

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