Question

A researcher measures the relationship between Internet use (hours per week) and social interaction (hours per week) in a sample of 10 students. The following table lists the hypothetical results of this study.

Internet Use | Social Interaction |
---|---|

X |
Y |

6 | 4 |

7 | 5 |

5 | 7 |

8 | 5 |

13 | 4 |

3 | 6 |

3 | 4 |

6 | 6 |

2 | 9 |

10 | 4 |

(a) Compute the Pearson correlation coefficient. (Round your
answer to three decimal places.)

(b) Compute the coefficient of determination. (Round your answer to
three decimal places.)

Answer #1

X | Y | XY | X^2 | Y^2 |

6 | 4 | 24 | 36 | 16 |

7 | 5 | 35 | 49 | 25 |

5 | 7 | 35 | 25 | 49 |

8 | 5 | 40 | 64 | 25 |

13 | 4 | 52 | 169 | 16 |

3 | 6 | 18 | 9 | 36 |

3 | 4 | 12 | 9 | 16 |

6 | 6 | 36 | 36 | 36 |

2 | 9 | 18 | 4 | 81 |

10 | 4 | 40 | 100 | 16 |

n | 10 |

sum(XY) | 310.00 |

sum(X) | 63.00 |

sum(Y) | 54.00 |

sum(X^2) | 501.00 |

sum(Y^2) | 316.00 |

Numerator | -302.00 |

Denominator | 503.99 |

r | -0.599 |

r square | 0.359 |

a)

Pearson correlation coefficient = -0.599

b)

coefficient of determination. = 0.359

A researcher measures the relationship between Internet use
(hours per week) and social interaction (hours per week) in a
sample of 10 students. The following table lists the hypothetical
results of this study.
Internet
Use
Social
Interaction
X
Y
7
4
9
6
5
6
7
6
13
5
3
6
4
2
7
6
2
11
12
4
A) Compute the Pearson correlation coefficient. (Round your
answer to three decimal places.)
_____
B) Compute the coefficient of determination. (Round...

A researcher measures the relationship between Internet use
(hours per week) and social interaction (hours per week) in a
sample of 10 students. The following table lists the hypothetical
results of this study. Internet Use Social Interaction X Y 6 5 8 7
4 7 7 7 12 5 5 8 3 2 5 4 2 9 12 2 (a) Compute the Pearson
correlation coefficient. (Round your answer to three decimal
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A researcher measures the relationship between Internet use
(hours per week ) and social interaction(hours per week) i a sample
of 10 students. The following table lists the hypothetical results
of this stufy
Internet use social interaction
x y
6 4
9 7
4 6
6 5
13 6
4 8
4 3
7 6
1 11
11 2
(a)compute the pearson correlation coefficient (round to three
decimal places)
(b) Compute the coefficient of determination (round your answers
to...

A researcher measures the relationship between Internet use
(hours per week) and social interaction (hours per week) in a
sample of 10 students. The following table lists the hypothetical
results of this study.
Internet
Use
Social
Interaction
X
Y
7
3
7
7
4
6
7
5
11
6
3
8
4
2
5
4
1
10
11
4
(a) Compute the Pearson correlation coefficient. (Round your
answer to three decimal places.)
(b) Compute the coefficient of determination. (Round your...

A researcher measures the relationship between Internet use
(hours per week) and social interaction (hours per week) in a
sample of 10 students. The following table lists the hypothetical
results of this study.
Internet
Use
Social
Interaction
X
Y
7
4
8
6
6
6
6
7
13
5
3
7
4
3
7
5
1
10
12
4
(a) Compute the Pearson correlation coefficient. (Round your
answer to three decimal places.)
(b) Compute the coefficient of determination. (Round your...

A researcher measures the relationship between Internet use
(hours per week) and social interaction (hours per week) in a
sample of 10 students. The following table lists the hypothetical
results of this study.
Internet
Use
Social
Interaction
X
Y
6
5
7
6
4
7
6
5
11
5
4
6
4
2
6
5
3
9
11
4
(a) Compute the Pearson correlation coefficient. (Round your
answer to three decimal places.)
(b) Compute the coefficient of determination. (Round your...

A researcher measures the relationship between Internet use
(hours per week) and social interaction (hours per week) in a
sample of 10 students. The following table lists the hypothetical
results of this study.
Internet
Use
Social
Interaction
X
Y
7
3
9
6
5
6
8
7
12
4
3
8
2
3
7
6
1
9
12
2
(a) Compute the Pearson correlation coefficient. (Round your
answer to three decimal places.)
(b) Compute the coefficient of determination. (Round your...

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Sleep
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Time Spent
Working
10
16
5
40
7
20
4
32
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3. Divide...

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(A) Compute the Pearson correlation coefficient. (Round your
answer to three decimal places)
(B) Multiply each measurement of drug use times 3 and
recalculate the correlation coefficient. (Round your answer to
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(C) Divide each measurement in half for time spent working and
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A researcher measures the relationship between sleep medication
use (times used per week) and time spent working (in hours per
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Sleep
Medication Use
Time Spent
Working
10
18
5
38
8
20
3
32
Part (a)
Compute the Pearson correlation coefficient. (Round your answer
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Part (b)
Multiply each measurement of drug use times 3 and recalculate
the correlation coefficient. (Round your answer to three decimal
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