Question

Use a graphing calculator to find the value of the correlation coefficient r and determine if there is a strong correlation among the data. (12, 28), (15, 50), (18, 14), (21, 28), (24, 36)Group of answer choicesweak positive correlationstrong negative correlationstrong positive correlationweak negative correlation

Answer 1

The value of the correlation is -0.0721 and it is a weak negative correlation

How to determine the correlation coefficient?

The points are given as:

(12, 28), (15, 50), (18, 14), (21, 28), (24, 36)

Enter the above points in a graphing calculator.

From the graphing calculator, we have the following summary:

X Values

• Sum X = 90
• Mean = 18
• ∑(X - Mx)^2 = SSx = 90

Y Values

• Sum Y = 156
• Mean = 31.2
• ∑(Y - My)^2 = SSy = 692.8

X and Y Combined

• N = 5
• ∑(X - Mx)(Y - My) = -18

R Calculation

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

This gives

r = -18 / √((90)(692.8)) = -0.0721

So, the correlation coefficient is -0.0721

The above is a negative correlation because it is less than 0 and it is a weak correlation because it is closer to 0 than -1

Hence, the correlation is a weak negative correlation

Read more about correlation coefficient at:

brainly.com/question/27226153

#SPJ1