An accountant for a large department store would like to develop a model to pred
ID: 3350582 • Letter: A
Question
An accountant for a large department store would like to develop a model to predict the amount of time it takes to process invoices. Data are collected from the 30 working days and the number of invoices processed and completion time (in hours) are used to obtain the following PHStat output.
SUMMARY OUTPUT
Regression Statistics
Multiple R
0.945
R Square
0.892
Adjusted R Square
0.889
Standard Error
0.334
Observations
30
ANOVA
df
SS
MS
F
Significance F
Regression
1
25.944
25.944
232.220
4.3946E-15
Residual
28
3.128
0.112
Total
29
29.072
Coefficients
Standard Error
t Stat
P-value
Intercept
0.402
0.124
3.256
0.003
Invoices Processed
0.013
0.001
15.239
0.000
The value of the t-test statistic to test whether time is linearly dependent on the number of invoices to be processed is ....................Answer (fill in the blank to 3 decimal places).
SUMMARY OUTPUT
Regression Statistics
Multiple R
0.945
R Square
0.892
Adjusted R Square
0.889
Standard Error
0.334
Observations
30
ANOVA
df
SS
MS
F
Significance F
Regression
1
25.944
25.944
232.220
4.3946E-15
Residual
28
3.128
0.112
Total
29
29.072
Coefficients
Standard Error
t Stat
P-value
Intercept
0.402
0.124
3.256
0.003
Invoices Processed
0.013
0.001
15.239
0.000
Explanation / Answer
here there are two places from where we can get test statistic t.
one is as test statistic t =(F)1/2 =(232.220)1/2 =15.239
second directly from t stat of invoices processed which is 15.239
hence value of the test statistic t =15.239
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