SOLUTION: _____The correlation coefficient between high school grade point average (gpa) and college gpa is 0.560. For a student with a high school gpa that is 2.5 standard deviations above

Algebra ->  Statistics  -> Correlation -> SOLUTION: _____The correlation coefficient between high school grade point average (gpa) and college gpa is 0.560. For a student with a high school gpa that is 2.5 standard deviations above       Log On


   

Question 934824: _____The correlation coefficient between high school grade point average (gpa) and college gpa is 0.560. For a student with a high school gpa that is 2.5 standard deviations above the mean, we would expect that student to have a college gpa that is ________________________ the mean.
A)2.5 SD above
B)0.56 SD above
C)Equal to
D)1.4 SD above

Found 2 solutions by jim_thompson5910, MathLover1:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
z%5By%5D+=+r%2Az%5Bx%5D

z%5By%5D+=+0.560%2A2.5

z%5By%5D+=+1.4

So we would expect that student to have a college gpa that is \underline{{\color{red}{\text{1.4 SD above}}}} the mean.
------------------------------------------------------------------------------------------------------------------------

If you need more one-on-one help, email me at jim_thompson5910@hotmail.com. You can ask me a few more questions for free, but afterwards, I would charge you ($2 a problem to have steps shown or $1 a problem for answer only).

Alternatively, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Any amount is greatly appreciated as it helps me a lot. This donation is to support free tutoring. Thank you.

Jim
------------------------------------------------------------------------------------------------------------------------

Answer by MathLover1(20855) About Me  (Show Source):
You can put this solution on YOUR website!

since coefficient between high school grade point average (gpa) and college gpa is 0.560, a student with a high school gpa that is 2.5 standard deviations above the mean, we would expect that student to have a college gpa that is 2.5%2A0.560=1.4 SD above
so, your answer is:
D: 1.4 SD above