Question

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 relationship between x and y. E. There is a negative linear relationship between x and y.

Answer #1

The following is a set of data from a sample of n=11 items.
Complete parts (a) through (c):
X Y
34 17
16 8
6 3
40 20
14 7
30 15
8 4
38 19
36 18
36 18
8 4
a. Compute the sample covariance.
(Round to three decimal places as needed.)
b. Compute the coefficient of
correlation.r=
(Round to three decimal places as needed.)
c. How strong is the relationship between X
and Y? Explain.
A. The...

Using the data given below, calculate the linear correlation
between the two variables x and y.
X
0
3
3
1
4
y
1
7
2
5
5
(a)
.794
(b)
.878
(c)
.497
(d) .543
Refer to question 4. Assume you are using a 0.05 level of
significance; is there a
significant
relationship between the two variables x and y?
Yes
(b) no
The heights (in inches) and pulse rates (in beats per minutes)
for a sample of 40...

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.

A) Two variables have a high covariance. This means the two
variables have a strong relationship. T/F
B) For a variable x, the sample mean is 8 and the sample
standard deviation is 2. One of the observations is 15. Is this
observation an outlier?
Group of answer choices
Yes, the z-score is greater than 3
No, the z-score is between -3 and 3
Yes, the z-score is between -3 and 3
No, the z-score is less than -3
C)...

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.

1. Name two ways in which two variables could be related. Select
the two most correct answers. Choose the correct answer below.
A) Strong and moderate B) Moderate and negative C) Weak and
moderate D) strong and weak
2. Name a graph that can be used to quickly illustrate the
relationship between two variables? Choose the correct answer
below.
A) Histogram B) Regression line C) Scatter plot D) Time series
graph.
3. What do we mean by the strength of...

Earnings per share, x
Dividends per share, y
1.55
1
4.39
0.48
3.92
2.2
8.79
1.22
2.16
0.78
3.16
1.72
(b) Calculate the sample correlation coefficient r.
requals=nothing
(Round to three decimal places as needed.)
(c) Describe the type of correlation, if any, and interpret
the correlation in the context of the data.
There is
▼
(Blank)
Answers choices below
a moderate negative
a strong negative
a strong positive
a moderate positive
no
a perfect positive
a perfect negative
linear...

A sample of 24 observations provides the following statistics:
[You may find it useful to reference the t table.]
sx = 19, sy = 16, and sxy = 118.75
a-1. Calculate the sample correlation coefficient rxy. (Round
your answer to 4 decimal places.)
a-2. Interpret the sample correlation coefficient rxy.
A. The correlation coefficient indicates a positive linear
relationship.
B. The correlation coefficient indicates a negative linear
relationship.
C. The correlation coefficient indicates no linear
relationship.
b. Specify the hypotheses...

Use the given data set to complete parts (a) through (c)
below. (Use
alphaαequals=0.05.)
x
1010
88
1313
99
1111
1414
66
44
1212
77
55
y
7.457.45
6.786.78
12.7412.74
7.117.11
7.817.81
8.858.85
6.096.09
5.395.39
8.148.14
6.416.41
5.735.73
LOADING...
Click here to view a table of critical values for the
correlation coefficient.
b. Find the linear correlation coefficient, r, then determine
whether there is sufficient evidence to support the claim of a
linear correlation between the two variables.
The linear...

Assuming a linear relationship between X and
Y, if the coefficient of correlation (r) equals
−0.75, this means that:
a.
there is very weak correlation.
b.
the slope b1 is = −0.75.
c.
the value of X is always greater than the value of
Y.
d.
None of these choices are true.
Which of the following is a property of the slope,
b1?
a.
The slope equals one if X and Y have the same
variance.
b.
The slope has...

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