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(A) We are studying the relationship between the percentage of students absence

ID: 3222416 • Letter: #

Question

(A) We are studying the relationship between the percentage of students absence 21 + times unexcused (x) and the percentage of prior years graduates that are continuing their education (y) in Florida high schools. We obtain the following statistics: r=-.33,p <.05
SDx=.07, SDy=.10
What is the slope of the line to two decimal places?
(B) We run a correlation analysis in a plane a coefficient r of .25. How much of the variance does one variable explain in the other variable, to two decimal places?

Explanation / Answer

a) here as we know slope b1=r*SDy/SDx =(-0.33)*(0.1)/(0.07) =-0.47

b) as R2 is  the variance does one variable explain in the other variable which is equal to (0.25)2 =0.0625