Business Statistics Discussion, Assignment, and Case Study

Run

Heading (x1)

Email Open(x2)

Body(x3)

x1 x2

x1x3

x2x3

x1x2x3

R Rate 1

R Rate 2

Ave RR

SD RR

1

Generic(-)

No(-)

Text(-)

+

+

+

-

46

38

42

5.656854

2

Detailed(+)

No(-)

Text(-)

-

-

+

+

34

38

36

2.828427

3

Generic(-)

Yes(+)

Text(-)

-

+

-

+

56

59

57.5

2.12132

4

Detailed(+)

Yes(+)

Text(-)

+

-

-

-

68

80

74

8.485281

5

Generic (-)

No(-)

HTML(+)

+

-

-

+

25

27

26

1.414214

6

Detailed(+)

No(-)

HTML(+)

-

+

-

-

22

32

27

7.071068

7

Generic(-)

Yes(+)

HTML(+)

-

-

+

-

21

23

22

1.414214

8

Detailed(+)

Yes(+)

HTML(+)

+

+

+

+

19

33

26

9.899495

sum+

163

179.5

101

168

152.5

126

145.5

sum-

147.5

131

209.5

143

158

185

165

ave +

40.75

44.875

25.25

42

38.13

31.5

36.375

ave-

36.875

32.75

52.375

35.6

39.5

46.1

41.25

effect

3.875

12.125

-27.125

6.38

-1.38

-15

-4.875

b0 =

77.625

b1=

1.9375

b2=

6.0625

b3=

-13.5625

b4=

3.1875

b5 =

-0.6875

b6=

-7.3125

b7=

-2.4375

Regression Model is

y = b0 + b1x1 + b2x2 + b3x3 + b4x1x2 + b5x1x3 + b6x2x3 + b7 x1 x2 x3

y = 77.625 + 1.9375 x1 + 6.0625 X2 -13.5625 x3 + 3.1875 x1 x2 -0.6875x1x3 -7.3125 x2x3 - 2.4375 x1 x3 x3