Please Answer the questions below using manual calculations a. Model the regress
ID: 3326858 • Letter: P
Question
Please Answer the questions below using manual calculations
a. Model the regression equation between the distance and the number of absences! Interpret the results
b. Calculate the correlation coefficient between the distance and the number of absences! Interpret the results
c. Calculate the coefficient of determination between the distance and the number of absences! Interpret the results
d. If there is a new employee where the distance between the house and the work location is 9 miles. Predict how much the absence?
e. Test the significance of parameters (individually and in unison)! Interpret the results
Gender Post distance No of absent Girl Staff Supervisor Supervisor Staff Manager Manager girl girl 12 Supervisor General Manager Staff Manager girlExplanation / Answer
Model Summary
S R-sq
1.28941 71.09%
Coefficients
Term Coef SE Coef T-Value P-Value
Constant 8.098 0.809 10.01 0.000
distance -0.3442 0.0776 -4.43 0.002
a] Regression Equation
no of absent = 8.098 - 0.3442 distance
b] correlation coefficient (r)
r = sqrt(R^2)
r = sqrt(0.7109)
r = 0.8431
c] coefficient of determination (R^2)
R^2 = 0.7109
d] distance = 9
no of absent = 8.098 - 0.3442 distance
no of absent = 8.098 - 0.3442 * 9
No of absent = 5.0002
e] Test the significance of parameters
H0: beta0 = 0 vs H1: beta0 is not equal to 0
pvalue(beta0) = 0.0001 < alpha = 0.05
Reject H0
H0: beta1 = 0 vs H1: beta1 is not equal to 0
pvalue (beta2) = 0.002 < alpha= 0.05
Reject H0