Question

DISTANCE	ONSET
1	4
3	21
4	33
4	41
4	43
5	46

Which variable, DISTANCE or ONSET, is the independent variable in this analysis?

Which variable, DISTANCE or ONSET, is the dependent variable in this analysis?

Created a scatterplot of the data. Interpret what you see.

Calculate a correlation coefficient r. Then describe the strength of association.

What percent of the variance in ONSET is explained by DISTANCE?

Use a regression model to predict how long on average it takes the outbreak to move from one gorilla band to an adjacent band.

Answer 1

Here Distance is independent variable

Here Onset is dependent variable

Hence we see that there is increasing trend in x and y, as we increase in x we see increase in y. Hence there is positive correlation between x and y.

X Values
∑ = 21
Mean = 3.5
∑(X - M_x)² = SS_x = 9.5

Y Values
∑ = 188
Mean = 31.333
∑(Y - M_y)² = SS_y = 1301.333

X and Y Combined
N = 6
∑(X - M_x)(Y - M_y) = 107

R Calculation
r = ∑((X - M_y)(Y - M_x)) / √((SS_x)(SS_y))

r = 107 / √((9.5)(1301.333)) = 0.9623
Hence there exists strong positive correlation between distance and onset

Now R^2=0.9623^2=0.9260

So 92.60% variance in ONSET is explained by DISTANCE