Suppose the correlation between height and weight for adults is 0.80. What proportion (or percent) of the variability in weight can be explained by the relationship with height

The variability in weight is 64 % , explained by the relationship with height.

Correlation coefficients are always values between -1 and 1, where -1 shows a perfect, linear negative correlation, and 1 shows a perfect, linear positive correlation.

The correlation coefficient is measure the strength of the linear relationship between two variables in a correlation analysis.

Correlation coefficient is represented by r.

Given that, the correlation between height and weight for adults is 0.80.

The variability in weight is, =

Thus, the variability in weight is 64 % , explained by the relationship with height.

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64% of the variability in weight can be explained by the relationship with height.

Step-by-step explanation:

Here, r= 0.80

That means 64% of the variability in weight can be explained by the relationship with height.

y=3x+4

step-by-step explanation:

given the points a(0,4) and b(-4, -8)

eqn of line ab: (y-4)/(x-0)=(-8-4)/(-4-0)

(y-4)/x=-12/-4=3

y=3x+4