Question
In: Statistics and Probability
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
Solutions
orchestra answered 2 years agoRelated Solutions
Consider the observations jointly taken on the binary random variables X and Y given in the...
Consider the observations jointly taken on the binary random
variables X and Y given in the “Problem 1” worksheet in the Table.
1. Organize the data in a two-way table by counting the number of
observations that fall within each of the following cells: {X = 0,
Y = 0}, {X = 0, Y = 1}, {X = 1, Y = 0}, and {X = 1, Y = 1}.
2. Use observed cell counts found in part 1 to estimate...
In this problem there are two random variables X and Y. The random variable Y counts...
In this problem there are two random variables X and Y. The
random variable Y counts how many times we roll the die in the
following experiment: First, we flip a fair coin. If it comes Heads
we set X= 1 and roll a fair die until we get a six. If it comes
Tails, we set X= 0 and roll the die until we get an even number (2,
4 or 6).
a). What are the possible values taken...
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?
(4.1) A random sample of 89 observations produced a mean x = 26.1 and a standard...
(4.1)
A random sample of 89 observations produced a mean x = 26.1 and
a standard deviation s = 2.4
a. Find a? 95% confidence interval for ?.
b. Find a? 90% confidence interval for ?.
c. Find a? 99% confidence interval for ?.
a. The? 95% confidence interval is (----,----)
?(Use integers or decimals for any numbers in the expression. Round
to two decimal places as? needed.)
b. The? 90% confidence interval is ----,------.
(Use integers or decimals for...
3) The following observations are given for two variables. Y: 5,8,18,20,22,30,10,7 X:2,12,3,6,11,19,18,9 Compute and interpret the...
3) The following observations are given for two variables.
Y: 5,8,18,20,22,30,10,7
X:2,12,3,6,11,19,18,9
Compute and interpret the sample covariance for the above
data.
Compute the standard deviation for x.
Compute the standard deviation for y.
Compute and interpret the sample correlation coefficient.
Provide an example that if the cov(X,Y) = 0, the two random variables, X and Y,...
Provide an example that if the
cov(X,Y)
= 0, the two random variables, X and Y, are not necessarily
independent.
Would you please give the example specifically and
why?
Provide an example that if the cov(X,Y) = 0, the two random variables, X and Y,...
Provide an example that if the
cov(X,Y)
= 0, the two random variables, X and Y, are not necessarily
independent.
Would you please give the example specifically and
why?
Let X and Y be two independent random variables. X is a binomial (25,0.4) and Y...
Let X and Y be two independent random variables. X is a binomial
(25,0.4) and Y is a uniform (0,6). Let W=2X-Y and Z= 2X+Y.
a) Find the expected value of X, the expected value of Y, the
variance of X and the variance of Y.
b) Find the expected value of W.
c) Find the variance of W.
d) Find the covariance of Z and W.
d) Find the covariance of Z and W.
This is the probability distribution between two random variables X and Y: Y \ X 0...
This is the probability distribution between two random
variables X and Y:
Y \ X
0
1
2
3
0.1
0.2
0.2
4
0.2
0.2
0.1
a) Are those variables independent?
b) What is the marginal probability of X?
c) Find E[XY]
Given are five observations for two variables, x and y. The estimated regression equation for these...
Given are five observations for two variables, x and y. The
estimated regression equation for these data is y = 1 + 2.4x
(A) Compute SSE, SST, and SSR
(B) Compute the coefficient of determination, R^2.
(C) Compute the sample correlation coefficient.
x
y
1
3
2
8
3
5
4
12
5
13
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