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Silver Springs Moving and Storage Inc. is studying the relationship between the number of rooms in a move and the number of labor
hours required for the move. Compute a correlation coefficient.
Rooms
Labor hours
Labor hours
Rooms
2.5
1
3
17
1
15
3
18
ed
1.5
35
1.5
28
2
19
33
9
40
ok
5
int
ences
8
16
17
2
15
2.5
16
2.5
24
3
3.5
4
4.5
5

Respuesta :

MrRoyal

The correlation coefficient of the dataset on the table is 0.8271

How to compute a correlation coefficient?

See attachment for the proper table that represents the relationship

Next, we compute a correlation coefficient using a graphing calculator.

The graphing calculator has the following calculation summary:

X Values

  • ∑ = 39.5
  • Mean = 2.633
  • ∑(X - Mx)² = SSx = 20.733

Y Values

  • ∑ = 304
  • Mean = 20.267
  • ∑(Y - My)² = SSy = 1410.933

X and Y Combined

  • N = 15
  • ∑(X - Mx)(Y - My) = 141.467

The correlation coefficient is calculated using:

[tex]r = \frac{\sum((X - \bar y)(Y - \bar x)) }{ \sqrt{(SSx)(SSy)}}[/tex]

So, we have:

[tex]r = \frac{141.467}{\sqrt{(20.733) * (1410.933)}}[/tex]

Evaluate

r  = 0.8271

Hence, the correlation coefficient is 0.8271

Read more about correlation coefficient at:

https://brainly.com/question/17237825

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