You have a data set with three predictors: X1 = GPA, X2 = IQ,
and X3...
You have a data set with three predictors: X1 = GPA, X2 = IQ,
and X3 = Gender (1 for female, 0 for male). The response is
starting salary after graduation (in $ thousands). We use least
squares to fit the model, and we get b0 = 50, b1 = 20, b2 = 0.07,
and b3 = 35.
a. Predict the salary of a woman with an IQ of 110 and a GPA of
4.0 (for calculation please use Excel.)...
Let X = ( X1, X2, X3, ,,,, Xn ) is iid,
f(x, a, b) =...
Let X = ( X1, X2, X3, ,,,, Xn ) is iid,
f(x, a, b) = 1/ab * (x/a)^{(1-b)/b} 0 <= x <= a ,,,,, b
< 1
then,
Show the density of the statistic T = X(n) is given by
FX(n) (x) = n/ab * (x/a)^{n/(b-1}} for 0 <= x <=
a ; otherwise zero.
# using the following
P (X(n) < x ) = P (X1 < x, X2 < x, ,,,,,,,,, Xn < x
),
Then assume...
Consider the following data for a dependent variable y
and two independent
variables, x1 and
x2.
x1...
Consider the following data for a dependent variable y
and two independent
variables, x1 and
x2.
x1
x2
y
30
12
94
47
10
108
25
17
112
51
16
178
40
5
94
51
19
175
74
7
170
36
12
117
59
13
142
76
16
211
The estimated regression equation for these data isŷ =
−18.37 + 2.01x1 +
4.74x2.
Here, SST = 15,182.9, SSR = 14,052.2,
sb1 =
0.2471, and sb2
= 0.9484.
(A) Test for a significant relationship...
Consider the following data for a dependent variable y and two
independent variables, x1 and x2...
Consider the following data for a dependent variable y and two
independent variables, x1 and x2 . x 1 x 2 y 29 13 94 46 11 109 25
17 112 50 16 178 40 6 95 51 19 175 74 7 170 36 13 117 59 13 143 76
17 212 Round your all answers to two decimal places. Enter negative
values as negative numbers, if necessary. a. Develop an estimated
regression equation relating y to x1 . ŷ...
2. Consider the data set has four variables which are Y, X1, X2
and X3. Construct...
2. Consider the data set has four variables which are Y, X1, X2
and X3. Construct a multiple regression
model using Y as response variable and other X variables as
explanatory variables.
(a) Write mathematics formulas (including the assumptions) and give
R commands to obtain linear
regression models for Y Xi, i =1, 2 and 3.
(b) Write several lines of R commands to obtain correlations
between Xi and Xj , i 6= j and i, j =
1, 2,...
An analyst is running a regression model using the following
data:
Y
x1
x2
x3
x4...
An analyst is running a regression model using the following
data:
Y
x1
x2
x3
x4
x5
x6
4
1
5
0
-95
17
12
10
5
8
1
-27
7
10
32
1
7
0
-82
0
9
2
2
7
0
17
5
10
9
3
9
1
-46
5
11
Excel performs the regression analysis, but the output looks all
messed up: For example the F statistic cannot be computed, standard
errors are all zero, etc etc....
Use the dependent variable (labeled Y) and the independent
variables (labeled X1, X2, and X3) in...
Use the dependent variable (labeled Y) and the independent
variables (labeled X1, X2, and X3) in the data file. Use Excel to
perform the regression and correlation analysis to answer the
following.
Generate a scatterplot for the specified dependent variable (Y)
and the X1 independent variable, including the graph of the "best
fit" line. Interpret.
Determine the equation of the "best fit" line, which describes
the relationship between the dependent variable and the selected
independent variable.
Determine the coefficient of...
Consider the following data for a dependent variable y
and two independent variables, x1and
x2.
x1...
Consider the following data for a dependent variable y
and two independent variables, x1and
x2.
x1
x2
y
30
12
96
47
10
108
25
17
112
51
16
178
40
5
94
51
19
175
74
7
170
36
12
117
59
13
142
76
16
211
The estimated regression equation for these data is ŷ =
−17.33 + 2.00x1 +
4.73x2.
Here, SST = 15,002.1, SSR = 13,887.5,
sb1 =
0.2454,and
sb2 =
0.9417.
(a)Test for a significant...