Question

The following table compares the completion percentage and interception percentage of 5 NFL quarterbacks. Completion Percentage 56 58 59 61 66 Interception Percentage 3.6 3.1 2.5 2.5 1.2 Table

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

Construct the 99% confidence interval for the slope. Round your answers to three decimal places.

Construct the 95% confidence interval for the slope. Round your answers to three decimal places.

Construct the 90% confidence interval for the slope. Round your answers to three decimal places.

Construct the 80% confidence interval for the slope. Round your answers to three decimal places.

Answer 1

Note that,

	56	3.6	16	-4.08	0.009141272
	58	3.1	4	-1.04	0.003325829
	59	2.5	1	0.08	0.09690769
	61	2.5	1	-0.08	0.022728578
	66	1.2	36	-8.28	3.49281E-05
total	300	12.9	58	-13.4	0.132138297
average	60	2.58

We estimate the OLS estimates for linear regression using the table.

Using the table we have,

The confidence interval for (1-)100% level of confidence for slope is given by:

i) for 98% confidence interval, 4.541

98% confidence interval = [-0.356,-0.106]

ii) for 99% confidence interval, 5.841

99% confidence interval = [ -0.391,-0.071]

iii) for 95% confidence interval, 3.182

95% confidence interval = [-0.318,-0.144]

iv) for 90% confidence interval, 2.353

90% confidence interval = [-0.295,-0.166]