Homework Answers
a) R square for the subset of variables X1, X2, X3, X4 is 0.9680. This subset is the best among all because they explained 96.8 % variability in the response variable say Y. Among all other subsets this is most explained variation.
b) The subset X1, X2, X4 has MSE 48.59743 which is minimum among all other subsets. Hence according to minimum MSE criterion this is the best subset of independent variables. Means they may use to fit a best model.
c) To obtain the best model by choosing the best subset among all other subsets, we prefer the subset which have smaller Mallow's Cp value. In the table given above for the subset X1, X2, X4 the Mallow's Cp value is 3.187 which is smallest among all other values. Hence X1, DE and X4 is the best subset among all.
Note that R square value for the subset X1, X2 an X4 is 0.9674 which is not so much different than 0.9680. Hence among all other subsets this subset is the best subset. And we can get best fit using this subsets.
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Independent variables in the model SSR SSE d.f. SSE MSE R? Cp X+ 14 829 1...
a) Construct a regression model using all four independent variables. (Round to three decimal places as...
a) Construct a regression model using all four independent
variables. (Round to three decimal places as needed.)
b) Identify the general form of the null and alternative
hypotheses.
c) Find the test statistic for the coefficient of each
independent variable. (Round to two decimal places as needed.)
d) Determine the appropriate critical value(s) for α=0.10.
(Round to three decimal places as needed.)
e) Find the p-value for the coefficient of each independent
variable. (Round to three decimal places as needed.)...
Consider the following set of dependent and independent variables. Using technology, check for the presence of...
Consider the following set of dependent and independent variables. Using technology, check for the presence of multicollinearity. If multicollinearity is present, take the necessary steps to eliminate it. у X1 12 2 9 5 13 5 14 8 22 7 26 11 25 16 34 20 24 39 37 22 X2 15 10 13 10 2 8 7 4 8 5 X3 5 15 9 12 18 17 23 20 27 30 Select the correct choice and, if necessary, fill...
Problems 473 results from parts (a), (b), and (c). What model seems most plausible? How do the da...
can you answer question 9 please
Problems 473 results from parts (a), (b), and (c). What model seems most plausible? How do the data limit your conclusions? tle the data from Freund (1979), presented in Problem 22 in Chapter 14. Taking be model discussed there as the maximum model, repeat parts (a) through (h) of Problem 6. In part (h), note the possible role of collinearity. A random sample of data was collected on residential sales in a large city....
L.11) Sums of independent random variables a) If X1 , X2 X, , , Xn are...
L.11) Sums of independent random variables a) If X1 , X2 X, , , Xn are independent random variables all with Exponential μ distribution, then what is the distribution of XII + 2 +X3 + .tX b) If X is a random variable with Exponential[u] distribution, then what is the distribution of x +X1? c) If X1 , X2 , Х, , , X are independent random variables all with Normal 0. I distribution, then what is the distribution of...
Python 1 import matplotlib.pyplot as plt 2 import numpy as np 3 4 abscissa = np.arange(20) 5 plt....
python
1
import matplotlib.pyplot as plt
2
import numpy as np
3
4
abscissa = np.arange(20)
5
plt.gca().set_prop_cycle(
’
color
’
, [
’
red
’
,
’
green
’
,
’
blue
’
,
’
black
’
])
6
7
class MyLine:
8
9
def __init__(self,
*
args,
**
options):
10
#TO DO: IMPLEMENT FUNCTION
11
pass
12
13
def draw(self):
14
plt.plot(abscissa,self.line(abscissa))
15
16
def get_line(self):
17
return "y = {0:.2f}x + {1:.2f}".format(self.slope,
self.intercept)
18
19
def __str__(self):...
Assume that vou build a multiple linear regression model using three independent predictor variables, You initialy...
Assume that vou build a multiple linear regression model using three independent predictor variables, You initialy determine that X1 should be included in the model. You then test the other model combinations that indlude X1. Based on the results below, Which model would you choose and why? Std. Adj R Error Model R2 X1 0.85 0.841 2969.57 X1+X2 0,852 0.834 |3031.69 0.888 2491.95 0.902 0.884 2539.88 X1+X3 0.9 Full X1+X2. It has the lowest Adj R and the highest Standard...
All Greens is a franchise store that sells house plants and lawn and garden supplies. Although Al...
All Greens is a franchise store that sells house plants and lawn and garden supplies. Although All Greens is a franchise, each store is owned and managed by private individuals. Some friends have asked you to go into business with them to open a new All Greens store in the suburbs of San Diego. The national franchise headquarters sent you the following information at your request. These data are about 27 All Greens stores in California. Each of the 27...
All Greens is a franchise store that sells house plants and lawn and garden supplies. Although All Greens is a franchise, each store is owned and managed by private individuals. Some friends have aske...
All Greens is a franchise store that sells house plants and lawn and garden supplies. Although All Greens is a franchise, each store is owned and managed by private individuals. Some friends have asked you to go into business with them to open a new All Greens store in the suburbs of San Diego. The national franchise headquarters sent you the following information at your request. These data are about 27 All Greens stores in California. Each of the 27...
please Question 1 Convert the constraints into linear equations by using slack variables. Maximize z =...
please
Question 1 Convert the constraints into linear equations by using slack variables. Maximize z = 2X1 +8X2 Subject to:X1 + 6x2 s 15 2x1 + 9x2 s 25 X120,X220 X1 + 6x2 +51 s 15 2X1 + 9x2525 25 x1 +6X2+S1 = 15 2X1 +9x2 +52 = 25 O X1 +6X2 + 512 15 2X1 + 9x2 +522 25 X1 +6x2 = S1 +15 2x1 + 9x2 = S2 + 25 Question 2 Introduce slack variables as necessary and...
3. Description of each X and data for 27 franchise stores are given below The data (X1, X2, X3, X4, X5, X6) are for each franchise store. X1 annual net sales/$1000 X2 number sq. ft/1000 X3 - inv...
3. Description of each X and data for 27 franchise stores are given below The data (X1, X2, X3, X4, X5, X6) are for each franchise store. X1 annual net sales/$1000 X2 number sq. ft/1000 X3 - inventory I$1000 X4- amount spent on advertising /$1000 X5 size of sales district/1000 families X6 number of competing stores in distric X1 X2 X3 X4 X5 X6 231 3 294 8.2 8.2 11 156 2.2 232 6.9 4.1 12 10 0.5 149 3...
a) Construct a regression model using all four independent
variables. (Round to three decimal places as needed.)
b) Identify the general form of the null and alternative
hypotheses.
c) Find the test statistic for the coefficient of each
independent variable. (Round to two decimal places as needed.)
d) Determine the appropriate critical value(s) for α=0.10.
(Round to three decimal places as needed.)
e) Find the p-value for the coefficient of each independent
variable. (Round to three decimal places as needed.)...
Consider the following set of dependent and independent variables. Using technology, check for the presence of multicollinearity. If multicollinearity is present, take the necessary steps to eliminate it. у X1 12 2 9 5 13 5 14 8 22 7 26 11 25 16 34 20 24 39 37 22 X2 15 10 13 10 2 8 7 4 8 5 X3 5 15 9 12 18 17 23 20 27 30 Select the correct choice and, if necessary, fill...
can you answer question 9 please
Problems 473 results from parts (a), (b), and (c). What model seems most plausible? How do the data limit your conclusions? tle the data from Freund (1979), presented in Problem 22 in Chapter 14. Taking be model discussed there as the maximum model, repeat parts (a) through (h) of Problem 6. In part (h), note the possible role of collinearity. A random sample of data was collected on residential sales in a large city....
L.11) Sums of independent random variables a) If X1 , X2 X, , , Xn are independent random variables all with Exponential μ distribution, then what is the distribution of XII + 2 +X3 + .tX b) If X is a random variable with Exponential[u] distribution, then what is the distribution of x +X1? c) If X1 , X2 , Х, , , X are independent random variables all with Normal 0. I distribution, then what is the distribution of...
python
1
import matplotlib.pyplot as plt
2
import numpy as np
3
4
abscissa = np.arange(20)
5
plt.gca().set_prop_cycle(
’
color
’
, [
’
red
’
,
’
green
’
,
’
blue
’
,
’
black
’
])
6
7
class MyLine:
8
9
def __init__(self,
*
args,
**
options):
10
#TO DO: IMPLEMENT FUNCTION
11
pass
12
13
def draw(self):
14
plt.plot(abscissa,self.line(abscissa))
15
16
def get_line(self):
17
return "y = {0:.2f}x + {1:.2f}".format(self.slope,
self.intercept)
18
19
def __str__(self):...
Assume that vou build a multiple linear regression model using three independent predictor variables, You initialy determine that X1 should be included in the model. You then test the other model combinations that indlude X1. Based on the results below, Which model would you choose and why? Std. Adj R Error Model R2 X1 0.85 0.841 2969.57 X1+X2 0,852 0.834 |3031.69 0.888 2491.95 0.902 0.884 2539.88 X1+X3 0.9 Full X1+X2. It has the lowest Adj R and the highest Standard...
please
Question 1 Convert the constraints into linear equations by using slack variables. Maximize z = 2X1 +8X2 Subject to:X1 + 6x2 s 15 2x1 + 9x2 s 25 X120,X220 X1 + 6x2 +51 s 15 2X1 + 9x2525 25 x1 +6X2+S1 = 15 2X1 +9x2 +52 = 25 O X1 +6X2 + 512 15 2X1 + 9x2 +522 25 X1 +6x2 = S1 +15 2x1 + 9x2 = S2 + 25 Question 2 Introduce slack variables as necessary and...
3. Description of each X and data for 27 franchise stores are given below The data (X1, X2, X3, X4, X5, X6) are for each franchise store. X1 annual net sales/$1000 X2 number sq. ft/1000 X3 - inventory I$1000 X4- amount spent on advertising /$1000 X5 size of sales district/1000 families X6 number of competing stores in distric X1 X2 X3 X4 X5 X6 231 3 294 8.2 8.2 11 156 2.2 232 6.9 4.1 12 10 0.5 149 3...
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