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 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 same because the formula is not dependent on the symbols.

(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 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.The result is the same because the formula is dependent on
which values are the *x* values and which values are the
*y* values.

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 | 7 | 9 |

y |
3 | 3 | 5 |

(ii) |
x |
3 | 3 | 5 |

y |
5 | 7 | 9 |

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 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...

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....

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)

Calculate the correlation coefficient, r, for the data
below.
Calculate the correlation coefficient, r, for the data
below.
X= -10 -8 -1 -4 -6 -7 -5 -3 -2 -9
Y= -15 -13 4 -4 -7 -11 -6 -2 1 -13

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