Question

Size of Ball Weight (grams) 1 150 2 280 3 340 4 370 5 420 The table contains data on different sizes of balls and their corresponding weights in grams. Using the Scatter plot tool, plot the graph of this data set and find the value of the correlation coefficient using the results of the best-fit line. 0.43 0.23 0.71 0.96

Answer 1

D.) 0.96

Explanation:

Answer 2

After plotting the points in the plane, the trend shows a positive one or increasing. Using the formula of getting the correlation coefficient.

X Values
∑ = 15
Mean = 3
∑(X - Mx)2 = SSx = 10

Y Values
∑ = 1560
Mean = 312
∑(Y - My)2 = SSy = 43080

X and Y Combined
N = 5
∑(X - Mx)(Y - My) = 630

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

r = 630 / √((10)(43080)) = 0.9598

So the final answer is 0.96