In: Statistics and Probability
suppose we have the data
number of days(x) |
expenditures claim (y) |
10 |
116 |
3 |
39 |
8 |
85 |
17 |
159 |
5 |
61 |
9 |
94 |
14 |
143 |
16 |
178 |
21 |
225 |
13 |
134 |
Ans a ) the scatterplot of the data is
b ) since scatterplot shows that there is a linear relationship between number of days and expenditures claim so we can fit the regression line here.
c )using minitab>stat>Regression
we have Regression Analysis: expenditures claim versus number of daysThe regression equation isexpenditures claim = 8.640 + 9.893 number of days
S = 8.96626
R-Sq = 97.7%
S- R-Sq(adj) = 97.5%
Analysis of Variance
Source DF SS MS F P
Regression 1 27835.2 27835.2 346.24 0.000
Error 8 643.2 80.4
Total 9 28478.4
the regression equation is
y = 8.64+9.893 *x
When X = 8
Y =8.64+9.893 *8 = 87.784