Question

A regression was run to determine if there is a relationship between hours of TV watched per day (x) and the number of sit-ups a person can do (y). The results were: y = a+bx b = -0.79 a = 23.59 r2 = 0.6551

If a person watches 16 hours of television a day, predict how many sit-ups he can do. 10.95 Correct

What is the value of the correlation coefficient? Round to three decimal places. .809 - I need help with this. I did the square root of R2 and it was incorrect

Answer 1

Given regression equation for two vanable x and x and y where x = hows of TV watched per day 7= no of sitasips a person can do - Y afbx where q = 23.59 b = 0.79

so repression equation will be 7 = 23.59-0.79x o & for = 16 houng 23.59-0.79x16 10.95 le if a person person watches 16 hours of teliesion a day then predicted no of sit-up = loios O Here ? a fost o 6SSL ( given so Comelation coeff rot T0655) r=tlo.bog tolog Here it is även that be 0.79 and we now that b= OX

te r by SA 0.79 since Oy and ox are (tre) quantity then from above we can conlcude that r must be Eve) so fo 0.809 will be corect any wer