Assume that an r of .30 describes the relationship between educational level and

Question

Assume that an r of .30 describes the relationship between educational level and estimated hours spent reading each week.

(a) according to r^2, what percent of the variability in weekly reading time is predictable from its relationship with educational level.

(b) What percent of variablity in weekly reading time is not predictable fromthis relatioship?

(C)Someone claims that 9 percent of each percent of each pesrson's estimate reading time is predictable from this relationship. what is wron with this claim?

Explanation / Answer

Answers

(a) Given that r = 0.30

r^2 = (0.30)^2 = 0.09

Therefore, 9% of the variability in weekly reading time is predictable from its relationship with educational level.

(b) Percent of variablity in weekly reading time is not predictable fromthis relatioship = 100 - 9 = 91%

(c) r^2 value gives the percent of variability in the dependent variable explained by the relationship between dependent and independent variable as described by the regression equation. Thus 9% of the variability in weekly reading time is exlained by its relationship with educational level. It gives an average estimate, which does not mean for each dependent variable as mentioned in the claim. Hence the correct claim is that 9% of the variability in weekly reading time is predictable from its relationship with educational level.

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