Question

In: Statistics and Probability

Decide by taking at least 12 data with simple correlation and regression analysis so that there...

Decide by taking at least 12 data with simple correlation and regression analysis so that there is a relationship between the two variables. When X = 8
Y =? Guess

Solutions

Expert Solution

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


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