Question

Consider the following simple random sample of 6 paired values (x,y):

x 3 13 21 24 1 12

y 9 29 43 47 3 26

With a 1% significance level, we wish to test the claim that
there is a linear correlation between the variables x and y. Write
the claim and the opposite of the claim in symbolic forms. (*Use
rho for the population linear correlation coefficient and whichever
symbols you need of "<", ">", "=", "not ="*).

**Claim:_______________**

**Its opposite:_______________**

State the null and alternative hypotheses for testing such a
claim. (*Use rho for the population linear correlation
coefficient and whichever symbols you need of "<", ">", "=",
"not ="*).

**H0:_________**

**H1:__________**

Answer #1

Thank you...!!!

A random sample of the following two variables was obtained:
x
29
48
28
22
28
42
33
26
48
44
y
16
46
34
26
49
11
41
13
47
16
a. Calculate the correlation between these two variables.
b. Conduct a test of hypothesis to determine if there exists a
correlation between the two variables in the population. Use a
significance level of 0.10.

The following data are paired by date. Let x and y be random
variables representing wind direction at 5 a.m. and 5 p.m.,
respectively (units are degrees on a compass, with 0° representing
true north). The readings were taken at seeding level in a cloud
seeding experiment. A random sample of days gave the following
information. x 178 140 197 224 54 175 257 72 172 y 148 142 217 125
49 245 218 35 147 x 207 265 110...

Consider the following sample data for two variables. x = 16,
6,4,2 and Y= 5,11,6,8 a. Calculate the sample covariance
Sxy= b. Calculate the sample correlation coefficient
rxy= c. Describe the relationship between x and y. Choose the
correct answer below. A. There is a positive linear relationship
between x and y. B. There is no linear relationship between x and
y. C. There is a perfect negative linear relationship between x and
y. D. There is a perfect positive linear...

Consider the following sample:
x
9
6
7
5
8
y
19
14
16
12
15
Calculate the coefficient of correlation. Does correlation
coefficient provide information about the relationship between x
and y? Explain.
Find the linear regression line.
Find y, if x is 10.

Given the following sample data set.
X= 2 3 5 6 6
Y= 10 9 7 4 2
a. Draw a scatter diagram of the data. (using Ti 84)
b. Compute the correlation coefficient r. Then use 0.05
significance level to test whether there is a linear correlation
between x and y. (using Ti 84)

Consider the following sample data: x 11 13 27 22 30 y 28 26 25
20 16 Click here for the Excel Data File a. Calculate the
covariance between the variables. (Negative value should be
indicated by a minus sign. Round your intermediate calculations to
at least 4 decimal places and final answer to 2 decimal places.) b.
Calculate the correlation coefficient. (Round your intermediate
calculations to 4 decimal places and final answer to 2 decimal
places.

Consider the following data:
X
Y
1
13
3
10
5
9
5
5
6
3
Draw a Scatter Plot of the data.
Do you believe the correlation coefficient r will be
positive, negative or close to zero? Why
What is your estimate to the value of Y associated with
X=4?

Consider the following data set consisting of two
variables:
x 0 3 5 6 8
y 10 9 7 4 1
(a) Draw a scatter diagram of the data.
(b) Compute the correlation coecient r.
(c) Is there a linear relation between x and y that you are condent
about? If so, in what direction? Justify your answer.

The following observations are obtained from a random sample of
10 individuals: Individual x y 1 9.08 5.25 2 4.23 3.58 3 6.88 4.75
4 10.3 5.38 5 8.09 4.27 6 10.6 5.79 7 4.50 3.41 8 8.32 5.75 9 7.17
4.74 10 9.45 5.43 Run a t-linear regression test on this data.
(HINT: make sure you copy the numbers correctly!) What are the
appropriate null and alternative hypotheses? H0:r=0H1:r≠0
H0:ρ=0H1:ρ<0 H0:ρ=0H1:ρ≠0 H0:r=0H1:r>0 H0:r=0H1:r<0
H0:ρ=0H1:ρ>0 What is the correlation coefficient?...

Use the following information regarding a variable (Y) and a
variable (X) to answer the next 7 questions.
n =
8
∑ x = 56
∑ y = 296
∑ x 2 = 428
∑ y 2 = 11,920
∑ xy = 2,257
The sample covariance equals
26.43
-9.17
9.17
12.12
3 points
QUESTION 23
Refer to above data.
The sample correlation coefficient equals:
a.
-0.94
b.
1.67
c.
.991
d.
.85
3 points
QUESTION 24
Given the...

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