Question

Examine the computation formula for r, the sample correlation coefficient. (a) In the formula for r, if we exchange the symbols x and y, do we get a different result or do we get the same (equivalent) result? Explain your answer. The result is different because the formula is dependent on the symbols. The result is the same because the formula is not dependent on the symbols. The result is different because the formula is not dependent on the symbols. The result is the same because the formula is dependent on the symbols. Correct: Your answer is correct. (b) If we have a set of x and y data values and we exchange corresponding x and y values to get a new data set, should the sample correlation coefficient be the same for both sets of data? Explain your answer. The result is the same because the formula is dependent on which values are the x values and which values are the y values. The result is the same because the formula is not dependent on which values are the x values and which values are the y values. The result is different because the formula is dependent on which values are the x values and which values are the y values. The result is different because the formula is not dependent on which values are the x values and which values are the y values. Correct: Your answer is correct. (c) Compute the sample correlation coefficient r for each of the following data sets and show that r is the same for both. (Use 3 decimal places.) (i) x 3 1 9 y 3 2 5 (ii) x 3 2 5 y 3 1 9 r (i) 0.693 Incorrect: Your answer is incorrect. (ii) 0.693 Incorrect: Your answer is incorrect.

Answer #1

Examine the computation formula for r, the sample
correlation coefficient.
1. In the formula for r, if we exchange the symbols
x and y, do we get a different result or do we
get the same (equivalent) result? Explain your answer.
(A) The result is the same because the formula is not dependent
on the symbols.
(B) The result is different because the formula is not dependent
on the symbols.
(C) The result is different because the formula is dependent...

Examine the computation formula for r, the sample
correlation coefficient.
(a) In the formula for r, if we exchange the symbols
x and y, do we get a different result or do we
get the same (equivalent) result? Explain your answer.
The result is the same because the formula is dependent on the
symbols.The result is different because the formula is not
dependent on the symbols. The result is
different because the formula is dependent on the symbols.The
result is the...

Examine the computation formula for r, the sample
correlation coefficient.
(a) In the formula for r, if we exchange the symbols
x and y, do we get a different result or do we
get the same (equivalent) result? Explain your answer.
The result is different because the formula is dependent on the
symbols.The result is the same because the formula is dependent on
the symbols. The result is the same
because the formula is not dependent on the symbols.The result is...

Examine the computation formula for r, the sample
correlation coefficient.
(a) In the formula for r, if we exchange the symbols
x and y, do we get a different result or do we
get the same (equivalent) result? Explain your answer.
The result is the same because the formula is not dependent on
the symbols.The result is different because the formula is
dependent on the symbols. The result is
different because the formula is not dependent on the symbols.The
result is...

Examine the computation formula for r, the sample
correlation coefficient.
(a) In the formula for r, if we exchange the symbols
x and y, do we get a different result or do we
get the same (equivalent) result? Explain your answer.
The result is the same because the formula is not dependent on
the symbols.The result is different because the formula is
dependent on the symbols. The result is
different because the formula is not dependent on the symbols.The
result is...

Compute the sample correlation coefficient r for each
of the following data sets and show that r is the same for
both. (Use 3 decimal places.)
(i)
x
3
4
9
y
3
3
5
(ii)
x
3
3
5
y
3
4
9
r
(i)
(ii)

Compute the sample correlation coefficient r for each of the
following data sets and show that r is the same for both. (Use 3
decimal places.
(i) x 8 6 9
y 3 4 5
(ii) x 3 4 5
y 8 6 9
r
(i)=
(ii)=

(c) Compute the sample correlation coefficient r for each of the
following data sets and show that r is the same for both. (Use 3
decimal places.) (i) x 6 5 9 y 2 1 5 (ii) x 2 1 5 y 6 5 9 r (i)
(ii)

(c) Compute the sample correlation coefficient r for
each of the following data sets and show that r is the
same for both. (Use 3 decimal places.)
(i)
x
5
2
9
y
1
2
5
(ii)
x
1
2
5
y
5
2
9
r
(i)
(ii)

Use a scatterplot and the linear correlation coefficient r to
determine whether there is a correlation between the two variables.
Use alphaequals0.05. x 2 4 7 1 6 y 5 8 12 3 11 Click here to view a
table of critical values for the correlation coefficient.
LOADING... Does the given scatterplot suggest that there is a
linear correlation? A. Yes, because the data does not follow a
straight line. B. No, because the data follows a straight line. C....

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