PC World rated four component characteristics for 10 ultraportable laptop computers: features; performance; design; and price. Each characteristic was rated using a 0-100 point scale. An overall rating, referred to as the PCW World Rating, was then developed for each laptop. The following table shows the performance rating, features rating, and the PCW World Rating for the 10 laptop computers.
|
Model
|
Performance
|
Features
|
PCW Rating
|
|
Thinkpad X200
|
77
|
87
|
83
|
|
VGN-Z598U
|
97
|
85
|
82
|
|
U6V
|
83
|
80
|
81
|
|
Elitebook 2530P
|
77
|
75
|
78
|
|
X360
|
64
|
80
|
78
|
|
Thinkpad X300
|
56
|
76
|
78
|
|
Ideapad U110
|
55
|
81
|
77
|
|
Micro Express JFT2500
|
76
|
73
|
75
|
|
Toughbook W7
|
46
|
79
|
73
|
|
HP Voodoo Envy133
|
54
|
68
|
72
|
a) Perform Multiple Regression Analysis treating PCW World Rating as the dependent variable.
b) Write down the estimated regression equation.
c) Interpret the slope coefficients for each of the independent variables.
d) Conduct Hypothesis tests on Regression and Individual coefficients at 0.05 level of significance.
e) What are the values of Coefficient of Multiple Determination and Adjusted Coefficient of Multiple Determination?
f) Comment on Goodness of Fit between the dependent variable and the two independent variables.
g) What is the expected PCW Rating when Performance Rating is 65 and Features Rating is 82?