In: Statistics and Probability
Find the linear regression line for the following table of values, where x represents the number of employees a manager supervises and y represents average percentage of incomplete tasks. You will need to use a calculator, spreadsheet, or statistical software. Round your final answers to two decimal places.
x | y | |||||
0 | 2.21 | |||||
1 | 3.44 | |||||
2 | 2.71 | |||||
3 | 4.97 | |||||
4 | 7.56 | |||||
5 | 5.88 | |||||
6 | 6.62 | |||||
r² | 0.752 | |||||
r | 0.867 | |||||
Std. Error | 1.115 | |||||
n | 7 | |||||
k | 1 | |||||
Dep. Var. | y | |||||
ANOVA table | ||||||
Source | SS | df | MS | F | p-value | |
Regression | 18.8272 | 1 | 18.8272 | 15.14 | .0115 | |
Residual | 6.2176 | 5 | 1.2435 | |||
Total | 25.0448 | 6 | ||||
Regression output | confidence interval | |||||
variables | coefficients | std. error | t (df=5) | p-value | 95% lower | 95% upper |
Intercept | 2.3100 | |||||
x | 0.8200 | 0.2107 | 3.891 | .0115 | 0.2783 | 1.3617 |