Question

9/15 Correct uestion 3 of 3, Step 1 of 5 The data in the table is the number of absences for 7 students and their corresponding grade. 3 6. Number of Absences Grade 3.8 2.8 2.4 2.1 1.9 1.6 Table Copy Data Step 1 of 5: Calculate the sum of squared errors (SSE). Use the values bo = 4.2309 and bj = -0.3518 for the calculations. Round your answer to three decimal places. в Кeурad 田 Tables nswer ow to enter your answer

Step 2 of 7 :  

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

Step 3 of 7 :  

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

Step 4 of 7 :  

Construct the 98% confidence interval for the slope. Round your answers to three decimal places.

Lower and upper end point:

Step 5 of 7 :  

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:

Simple linear regression results:

Dependent Variable: Grade
Independent Variable: Absences
Grade = 4.2310976 - 0.35182927 Absences
Sample size: 7
R (correlation coefficient) = -0.94401094
R-sq = 0.89115666
Estimate of error standard deviation: 0.2661606

Parameter estimates:

Parameter	Estimate	Std. Err.	DF	98% L. Limit	98% U. Limit
Intercept	4.2310976	0.30756995	5	3.1961462	5.2660489
Slope	-0.35182927	0.054988371	5	-0.53686129	-0.16679724

Parameter estimates:

Parameter	Estimate	Std. Err.	DF	95% L. Limit	95% U. Limit
Intercept	4.2310976	0.30756995	5	3.4404639	5.0217312
Slope	-0.35182927	0.054988371	5	-0.49318137	-0.21047717

Hence,

Step - 1: SSE = 0.354

Step - 2: Estimated variance of errors = MSE = 0.071

Step - 3: Estimated variance of slope = (0.054988371)² = 0.003

Step - 4: 98% confidence interval:

Lower limit = -0.537

Upper limit = -0.167

Step - 5: 95% confidence interval:

Lower limit = -0.493

Upper limit = -0.210