Question
In: Statistics and Probability
Sales (Y) Calls (X1) Time (X2) Years (X3) Type 20 210 8.0 1 NONE 32 139...
| Sales (Y) | Calls (X1) | Time (X2) | Years (X3) | Type |
| 20 | 210 | 8.0 | 1 | NONE |
| 32 | 139 | 16.9 | 4 | NONE |
| 44 | 165 | 15.7 | 3 | ONLINE |
| 47 | 186 | 13.5 | 3 | ONLINE |
| 41 | 180 | 14.0 | 2 | ONLINE |
| 35 | 150 | 13.0 | 4 | ONLINE |
| 32 | 120 | 19.9 | 3 | NONE |
| 46 | 172 | 14.7 | 3 | GROUP |
| 42 | 161 | 13.2 | 1 | GROUP |
| 33 | 143 | 15.4 | 3 | NONE |
| 42 | 181 | 11.5 | 4 | ONLINE |
| 55 | 160 | 17.0 | 3 | NONE |
| 42 | 140 | 17.5 | 2 | GROUP |
| 41 | 198 | 13.2 | 2 | ONLINE |
| 41 | 149 | 17.3 | 0 | ONLINE |
| 44 | 168 | 11.0 | 5 | ONLINE |
| 36 | 121 | 18.0 | 2 | NONE |
| 30 | 125 | 11.0 | 5 | ONLINE |
| 38 | 135 | 18.5 | 1 | GROUP |
| 21 | 185 | 18.9 | 2 | ONLINE |
| 67 | 155 | 17.9 | 1 | NONE |
| 45 | 149 | 13.5 | 1 | ONLINE |
| 52 | 193 | 13.7 | 5 | ONLINE |
| 37 | 159 | 18.1 | 0 | NONE |
| 33 | 152 | 15.0 | 3 | GROUP |
| 31 | 170 | 14.3 | 4 | GROUP |
| 44 | 192 | 16.7 | 1 | GROUP |
| 44 | 165 | 12.4 | 3 | ONLINE |
| 39 | 150 | 15.3 | 3 | GROUP |
| 43 | 174 | 12.7 | 2 | ONLINE |
| 42 | 168 | 16.4 | 0 | ONLINE |
| 49 | 178 | 15.1 | 3 | ONLINE |
| 41 | 164 | 17.8 | 3 | GROUP |
| 40 | 191 | 19.0 | 5 | ONLINE |
| 37 | 132 | 10.0 | 0 | NONE |
| 36 | 140 | 15.7 | 1 | NONE |
| 46 | 171 | 14.9 | 5 | ONLINE |
| 41 | 170 | 12.3 | 0 | ONLINE |
| 49 | 153 | 19.0 | 3 | GROUP |
| 42 | 154 | 14.3 | 2 | GROUP |
| 37 | 142 | 13.9 | 3 | NONE |
| 37 | 130 | 16.9 | 2 | NONE |
| 21 | 177 | 17.0 | 0 | ONLINE |
| 39 | 160 | 14.3 | 4 | NONE |
| 44 | 134 | 19.4 | 5 | GROUP |
| 49 | 131 | 14.6 | 1 | GROUP |
| 35 | 130 | 19.4 | 4 | NONE |
| 46 | 183 | 15.4 | 4 | ONLINE |
| 43 | 169 | 14.0 | 5 | GROUP |
| 41 | 155 | 16.0 | 2 | ONLINE |
| 48 | 182 | 13.0 | 2 | ONLINE |
| 39 | 140 | 12.4 | 1 | NONE |
| 40 | 157 | 15.4 | 1 | ONLINE |
| 48 | 167 | 14.8 | 3 | ONLINE |
| 50 | 144 | 15.8 | 2 | NONE |
| 44 | 168 | 12.4 | 2 | GROUP |
| 43 | 175 | 13.6 | 5 | GROUP |
| 33 | 150 | 14.9 | 2 | GROUP |
| 32 | 155 | 17.9 | 1 | GROUP |
| 46 | 163 | 16.6 | 2 | ONLINE |
| 48 | 162 | 14.5 | 4 | GROUP |
| 56 | 189 | 15.0 | 3 | ONLINE |
| 44 | 153 | 15.3 | 2 | ONLINE |
| 34 | 158 | 14.2 | 3 | ONLINE |
| 43 | 160 | 10.9 | 4 | ONLINE |
| 33 | 173 | 17.5 | 1 | ONLINE |
| 49 | 178 | 18.3 | 2 | GROUP |
| 50 | 189 | 14.3 | 1 | ONLINE |
| 52 | 184 | 11.4 | 4 | ONLINE |
| 45 | 174 | 13.6 | 2 | ONLINE |
| 48 | 188 | 13.6 | 0 | ONLINE |
| 35 | 149 | 15.6 | 1 | GROUP |
| 44 | 159 | 14.6 | 2 | GROUP |
| 44 | 160 | 14.8 | 2 | ONLINE |
| 67 | 166 | 18.9 | 1 | GROUP |
| 51 | 178 | 16.5 | 1 | ONLINE |
| 41 | 178 | 13.4 | 2 | ONLINE |
| 40 | 176 | 12.6 | 1 | ONLINE |
| 45 | 138 | 15.3 | 2 | NONE |
| 41 | 159 | 18.8 | 2 | ONLINE |
| 40 | 145 | 14.7 | 2 | NONE |
| 47 | 151 | 16.6 | 2 | GROUP |
| 48 | 186 | 14.2 | 1 | ONLINE |
| 42 | 194 | 13.6 | 2 | ONLINE |
| 41 | 152 | 14.5 | 4 | GROUP |
| 29 | 145 | 19.0 | 2 | NONE |
| 48 | 188 | 11.3 | 2 | ONLINE |
| 33 | 139 | 19.3 | 3 | GROUP |
| 48 | 201 | 12.5 | 1 | ONLINE |
| 45 | 156 | 13.2 | 3 | GROUP |
| 36 | 131 | 18.5 | 2 | NONE |
| 43 | 161 | 17.3 | 3 | ONLINE |
| 42 | 152 | 14.6 | 1 | ONLINE |
| 49 | 178 | 16.4 | 2 | ONLINE |
| 50 | 157 | 15.9 | 3 | GROUP |
| 42 | 154 | 15.3 | 1 | GROUP |
| 44 | 156 | 20.0 | 0 | ONLINE |
| 45 | 170 | 14.2 | 1 | ONLINE |
| 48 | 170 | 17.4 | 5 | ONLINE |
| 39 | 144 | 17.7 | 3 | NONE |
From the variable analysis above, provide the analysis and interpretation for three individual variables. This would include no more than 1 graph for each, one or two measures of central tendency and variability (as appropriate), the shapes of the distributions for quantitative variables, and two or three sentences of interpretation.
For the 10 pairings, identify and report only on three of the pairings, again using graphical and numerical summary (as appropriate), with interpretations. Please note that at least one pairing must include a qualitative variable and at least one pairing must not include a qualitative variable.
Format for report:
Brief Introduction
Discuss 1st individual variable, using graphical, numerical summary and interpretation
Discuss 2nd individual variable, using graphical, numerical summary and interpretation
Discuss 3rd individual variable, using graphical, numerical summary and interpretation
Discuss 1st pairing of variables, using graphical, numerical summary and interpretation
Discuss 2nd pairing of variables, using graphical, numerical summary and interpretation
Discuss 3rd pairing of variables, using graphical, numerical summary and interpretation
Conclusion
Solutions
Expert Solution
|
Descriptive Statistics |
||||||
|---|---|---|---|---|---|---|
|
N |
Minimum |
Maximum |
Mean |
Std. Deviation |
Variance |
|
|
Statistic |
Statistic |
Statistic |
Statistic |
Statistic |
Statistic |
|
|
Y |
100 |
20 |
67 |
42.04 |
7.671 |
58.847 |
|
X1 |
100 |
120 |
210 |
161.81 |
19.209 |
369.004 |
|
X2 |
100 |
8 |
20 |
15.25 |
2.443 |
5.967 |
|
X3 |
100 |
0 |
5 |
2.32 |
1.384 |
1.917 |
|
Descriptive Statistics |
||||
|---|---|---|---|---|
|
Skewness |
Kurtosis |
|||
|
Statistic |
Std. Error |
Statistic |
Std. Error |
|
|
Y |
-.001 |
.241 |
2.115 |
.478 |
|
X1 |
.044 |
.241 |
-.469 |
.478 |
|
X2 |
-.129 |
.241 |
-.224 |
.478 |
|
X3 |
.313 |
.241 |
-.595 |
.478 |
orchestra answered 1 year agoRelated Solutions
Sales (Y) Calls (X1) Time (X2) Years (X3) Type 48 168 12.3 5 ONLINE 36 131...
Sales (Y)
Calls (X1)
Time (X2)
Years (X3)
Type
48
168
12.3
5
ONLINE
36
131
16.4
4
NONE
46
162
15.7
3
NONE
47
183
13.0
3
ONLINE
44
177
15.3
3
ONLINE
49
181
12.4
2
ONLINE
35
123
19.0
3
NONE
46
169
14.8
3
GROUP
44
158
13.9
1
GROUP
39
146
15.4
3
GROUP
48
178
12.6
4
ONLINE
42
142
17.0
0
ONLINE
45
137
13.0
2
ONLINE
54
195
15.2
2
ONLINE
43...
Does the input requirement set V (y) = {(x1, x2, x3) | x1 + min {x2,...
Does the input requirement set
V (y) = {(x1, x2, x3) | x1 + min {x2, x3} ≥ 3y, xi ≥ 0
∀ i = 1, 2, 3}
corresponds to a regular (closed and non-empty) input
requirement set?
Does the technology satisfies free disposal? Is the technology
convex?
(1) z=ln(x^2+y^2), y=e^x. find ∂z/∂x and dz/dx. (2) f(x1, x2, x3) = x1^2*x2+3sqrt(x3), x1 = sqrt(x3),...
(1) z=ln(x^2+y^2), y=e^x. find ∂z/∂x and dz/dx.
(2) f(x1, x2, x3) = x1^2*x2+3sqrt(x3), x1 = sqrt(x3), x2 = lnx3.
find ∂f/∂x3, and df/dx3.
Using Y as the dependent variable and X1, X2, X3, X4 and X5 as the explanatory...
Using Y as the dependent variable and X1, X2, X3, X4 and X5 as
the explanatory variables, formulate an econometric model for data
that is (i) time series data (ii) cross-sectional data and (iii)
panel data – (Hint: please specify the specific model here not its
general form).
income (Y in $1,000s), GPA (X1), age (X2), and the gender of the individual (X3; zero...
income (Y in $1,000s), GPA (X1), age (X2), and the gender of the
individual (X3; zero representing female and one representing male)
was performed on a sample of 10 people.
Coefficients
Standard Error
Intercept
4.0928
1.4400
X1
10.0230
1.6512
X2
0.1020
0.1225
X3
-4.4811
1.4400
ANOVA
DF
SS
MS
Regression
360.59
Error
23.91
a. use Excel/XLSTAT to calculate p-value for the coefficient of
X1. Is it significant? α = 0.05. Next, the T table and interpolate
the p-value
b. use...
Sales price, y (thousands) Square feet, x1 Rooms, x2 Bedrooms, x3 Age, x4 53.5 1008 5...
Sales price, y
(thousands)
Square feet, x1
Rooms, x2
Bedrooms, x3
Age, x4
53.5
1008
5
2
35
49
1290
6
3
36
50.5
860
8
2
36
49.9
912
5
3
41
52
1204
6
3
40
55
1204
5
3
10
80.5
1764
8
4
64
86
1600
7
3
19
69
1255
5
3
16
149
3600
10
5
17
46
864
5
3
37
38
720
4
2
41
49.5
1008
6
3
35
103
1950...
Let x,y ∈ R3 such that x = (x1,x2,x3) and y = (y1,y2,y3) determine if <x,y>=...
Let x,y ∈ R3 such that x =
(x1,x2,x3) and y =
(y1,y2,y3) determine if
<x,y>=
x1y1+2x2y2+3x3y3
is an inner product
Using the data, determine whether the model using (x1, x2, x3, x4) to predict y is...
Using the data, determine whether the model using (x1, x2, x3,
x4) to predict y is sufficient, or should some or all other
predictors be considered? Write the full and reduced models, and
then perform the test. Show your work and state your conclusion,
but you do not need to specify your hypothesis statements.
y 60323 61122 60171 61187 63221 63639 64989 63761 66019 67857
68169 66513 68655 69564 69331 70551
x1 83 88.5 88.2 89.5 96.2 98.1 99 100...
DATA 2 ID X1 X2 X3 Y A 0 2 4 9 B 1 0 8...
DATA 2
ID
X1
X2
X3
Y
A
0
2
4
9
B
1
0
8
10
C
0
1
0
5
D
1
1
0
1
E
0
0
8
10
CORRELATION MATRIX
Y
X1
X2
X3
Y
1
?
-0.304
+0.889
X1
?
1
-0.327
0
X2
-0.304
-0.327
1
-0.598
X3
+0.889
0
-0.598
1
1. What is the sum of squares regression for the full model?
(Correct answer is 58, please show me how to get...
DATA 2 ID X1 X2 X3 Y A 0 2 4 9 B 1 0 8...
DATA 2
ID
X1
X2
X3
Y
A
0
2
4
9
B
1
0
8
10
C
0
1
0
5
D
1
1
0
1
E
0
0
8
10
CORRELATION MATRIX
Y
X1
X2
X3
Y
1
?
-0.304
+0.889
X1
?
1
-0.327
0
X2
-0.304
-0.327
1
-0.598
X3
+0.889
0
-0.598
1
Comparing the zero order model and full
model
1. Did the addition of X2 and X3
significantly increase R2? (correct answer is...
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