Question
In: Statistics and Probability
Below are the values for two variables x and y obtained from a sample of size...
Below are the values for two variables x and y obtained from a sample of size 5. We want to build a regression equation based the sample data.
ŷ = b₀ + b₁x
| y | x |
| 16 | 5 |
| 21 | 10 |
| 8 | 6 |
| 28 | 12 |
| 53 | 14 |
| 1 | The sum product of x and y is, | ||
| a | 1416 | ||
| b | 1451 | ||
| c | 1466 | ||
| d | 1481 | ||
| 2 | The value in the numerator of the formula to compute the slope of the regression equation is, | |||||||
| a | 211.4 | |||||||
| b | 217.9 | |||||||
| c | 224.7 | |||||||
| d | 231.6 | |||||||
| 3 | The sum of squared x is, | |
| a | 495 | |
| b | 501 | |
| c | 514 | |
| d | 522 | |
| 4 | The slope coefficient b₁ is, | ||
| a | 5.3845 | ||
| b | 4.9857 | ||
| c | 4.2251 | ||
| d | 3.9122 | ||
| 5 | The intercept coefficient is, | ||
| a | -10.0697 | ||
| b | -11.5743 | ||
| c | -12.7318 | ||
| d | -13.3683 | ||
Solutions
orchestra answered 1 year agoRelated Solutions
Below are the values for two variables x and y obtained from a sample of size...
Below are the values for two variables x and y obtained from a
sample of size 5. We want to build a regression equation based the
sample data.
ŷ = b₀ + b₁x
y
x
16
5
21
10
8
6
28
12
53
14
11
On average the observed y deviate from the predicted y by,
a
10.73
b
10.04
c
9.53
d
8.76
12
Sum of squares total (SST) is,
a
1096.3
b
1178.8
c
1296.7
d
1361.5...
A random sample of two variables, x and y, produced the following observations: x y 19...
A random sample of two variables, x and y, produced the
following observations:
x
y
19
7
13
9
17
8
9
11
12
9
25
6
20
7
17
8
Compute the correlation coefficient for these sample data.
Group of answer choices
a. -0.9707
b. -0.2141
c. 0.5133
d. 0.8612
Consider the two dependent discrete random variables X and Y . The variable X takes values...
Consider the two dependent discrete random variables X and Y .
The
variable X takes values in {−1, 1} while Y takes values in {1, 2,
3}. We observe that
P(Y =1|X=−1)=1/6
P(Y =2|X=−1)=1/2
P(Y =1|X=1)=1/2
P(Y =2|X=1)=1/4
P(X = 1) = 2/ 5
(a) Find the marginal probability mass function (pmf) of Y .
(b) Sketch the cumulative distribution function (cdf) of Y .
(c) Compute the expected value E(Y ) of Y .
(d) Compute the conditional expectation...
Q1: A sample with two variables (x and y) is given in the table. According to...
Q1: A sample with two variables (x and y) is given in the table.
According to the sample, please develop an excel spreadsheet to
calculate the missing values given in the table of “summary output”
attached below. The excel spreadsheet needs to be submitted
together with your assignment.
Note: use “data analysis toolpak” to check your answers, but
calculations, equations and steps should be done for each "?"
value
x
y
1.0
5.2
1.5
7.2
2.0
5.5
2.5
4.9
3.0...
Questions 1-17 are related to the following Below are the values for two variables x and...
Questions 1-17 are related to the following
Below are the values for two variables
x and y obtained from a sample of size 5. We want to
build a regression equation based the sample data.
y
x
18
5
25
10
9
5
30
15
46
18
7
The prediction error for the largest value
of x is,
a
3.88
b
3.98
c
4.09
d
4.19
8
Sum of prediction errors is,
a
1.03
b
0.08
c
0.02
d
0
9...
Calculate the Y values corresponding to the X values given below. Find the critical values for X...
Calculate the Y values corresponding to the X values given
below. Find the critical values for X
for the given polynomial by finding the X values among those given
where the first derivative, dy/dx = 0 and/or X values where the
second derivative, d2y/dx2 =
0. Be sure to find the sign (+ or -)
of dy/dx and of d2y/dx2 at all X
values. Reference Lesson 13 and the text Appendix A (pp 694 – 698),
as needed. Using the first and second derivative...
Given below is a bivariate distribution for the random variables x and y. f(x, y) x...
Given below is a bivariate distribution for the random variables
x and y.
f(x,
y)
x
y
0.3
50
80
0.2
30
50
0.5
40
60
(a)
Compute the expected value and the variance for x and
y.
E(x)
=
E(y)
=
Var(x)
=
Var(y)
=
(b)
Develop a probability distribution for
x + y.
x + y
f(x +
y)
130
80
100
(c)
Using the result of part (b), compute
E(x +
y)
and
Var(x +
y).
E(x...
The value of f depends on two independent variables x and y as defined below: f(x,y)=x2+y2−x+3cos(x)sin(y)...
The value of f depends on two independent variables x and y as
defined below:
f(x,y)=x2+y2−x+3cos(x)sin(y)
Function f has a minimum in the neighborhood of the origin (i.e.
[0 0]). Find x and y which minimize f.
Note: You are not allowed to use MATLAB built-in
functions for optimization. Follow the logic of the derivative
test:
The minimum of f occurs where:
∂f∂x=0∂f∂y=0
Let X and Y be two independent random variables such that X + Y has the...
Let X and Y be two independent random variables such that X + Y
has the same density as X. What is Y?
Fourth Question: The table below represents a relationship between two variables X and Y x 7,8,4,3,9,5,7,1,2...
Fourth Question: The table below represents a
relationship between two variables X and Y
x 7,8,4,3,9,5,7,1,2
y 8,10,5,2,12,3,9,1,1
a) Calculate the Pearson correlation coefficient
between the X and Y variables.
B) Find the y regression equation for X for the cooked data
c) Calculate the estimated value (prediction) of the variable Y
when the value of the variable X is equal to 5. What is the error
value of the estimate?
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