Question

Need help with this math question

Answer 1

The correlation coefficient is -0.87; strong correlation

How to determine the correlation coefficient?

The given parameters are:

x = Time spent working out

y = lbs Overweight

Next, we enter the table of values in a graphing tool.

From the graphing tool, we have the following summary:

X Values

• ∑ = 27.1
• Mean = 2.71
• ∑(X - Mx)2 = SSx = 22.569

Y Values

• ∑ = 89
• Mean = 8.9
• ∑(Y - My)2 = SSy = 778.9

X and Y Combined

• N = 10
• ∑(X - Mx)(Y - My) = -114.19

R Calculation

r = ∑((X - My)(Y - Mx)) / √((SSx)(SSy))

r = -114.19 / √((22.569)(778.9))

r = -0.8613

Approximate

r = -0.87

This means that the correlation coefficient is -0.87

Also, the correlation coefficient is a strong correlation, because it is closer to -1 than it is to 0

Read more about correlation coefficient at:

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