Question

The following table compares the completion percentage and interception percentage of 5 NFL quarterbacks. Completion Percentage 57 59 61 65 65 Interception Percentage 4.8 4.7 4.5 3.1 1.1 Table

Step 4 of 5 : Construct the 98% confidence interval for the slope. Round your answers to three decimal places.

Answer 1

SST=Syy=		9.9520
SSE =Syy-(Sxy)2/Sxx=	2.842
SSR =(Sxy)2/Sxx =	7.1103

	s2 =SSE/(n-2)=	0.9472
std error σ              =	=se =√s2=	0.9733

estimated std error of slope =se(β1) =s/√Sxx=

0.136

Step 4 of 5 :

for 98 % CI value of t=		4.5410
margin of error E=t*std error                            =	0.6177
lower bound=estimated slope-margin of error =	-0.990
Upper bound=estimated slope+margin of error=	0.245