Question

The data in the table is the number of absences for 7 students and their corresponding grade.

Number of Absences	0	0	2	2	4	4	5
Grade	3.3	3	2.1	1.8	1.8	1.7	1.6

Step 1 of 5: Calculate the sum of squared errors (SSE). Use the values b0=2.9391 and b1=−0.3102 for the calculations. Round your answer to three decimal places.

Step 2 of 5: Calculate the estimated variance of errors, s2e. Round your answer to three decimal places.

Step 3 of 5: Calculate the estimated variance of slope, s2b1. Round your answer to three decimal places.

Step 4 of 5: Construct the 80% confidence interval for the slope. Round your answers to three decimal places.

Step 5 of 5: Construct the 95% confidence interval for the slope. Round your answers to three decimal places.

Answer 1

The statistical software output for this problem is:

Hence,

Step - 1: SSE = 0.506

Step - 2: s2e = 0.101

Step - 3: s2b1 = (0.06533)² = 0.004

Step - 4: 80% confidence interval:

Lower limit = -0.407

Upper limit = -0.214

Step - 5: 95% confidence interval:

Lower limit = -0.478

Upper limit = -0.142