The table below presents the number of student attending the class during the se
ID: 3375420 • Letter: T
Question
The table below presents the number of student attending the class during the
semester.
Week
1
2
3
4
5
6
7
8
9
10
11
12
Number of students
20
19
19
18
16
17
15
16
14
12
12
10
Regression Statistics
Multiple R
?
R Square
0.941
Adjusted R Square
0.935
Standard Error
0.811
Observations
12
ANOVA
df
SS
MS
F
Significance F
Regression
1
104.08
104.08
158.12
1.87977E
-
07
Residual
10
6.58
0.66
Total
11
110.67
Coefficients
Standard
Error
t Stat
P
-
value
Lower 95%
Upper
95%
Intercept
21.21
0.50
?
0.00
20.10
22.32
Week
-
0.85
0.07
?
0.00
-
1.00
-
0.70
a)
Write down the estimated regression equation
(2
marks)
b)
Interpret the intercept
(2 marks)
c)
Interpret the slope coefficient
(2 marks)
d)
Interpret the correlation coefficient
(2 marks)
e)
How well the model fits the data?
(2 marks)
Explanation / Answer
a) The regression equation is,
No. of student = 22.212-0.853week
b) At the beginning, i.e., when week = 0, the no of student = 22.212.
c)whenever we increase 1 week, the number of student decrease by 0.853.
d) Here, correlation coefficient = 0.9698
which is very high and positive, which denotes that, weeks and no of students are positively related with each other.
e) R2= 0.9405.
Which means 94.05% of the variation of the no of students is explained by weeks.
model fits well to the data.
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