SOLUTION: 1. Find the correlation coefficient for the data. 2. Find the equation for the regression line for the data, and predict the final grade of a student who misses 3.5 days. Num

Algebra ->  Probability-and-statistics -> SOLUTION: 1. Find the correlation coefficient for the data. 2. Find the equation for the regression line for the data, and predict the final grade of a student who misses 3.5 days. Num      Log On


   



Question 656178: 1. Find the correlation coefficient for the data.
2. Find the equation for the regression line for the data, and predict the final grade of a student who misses 3.5 days.
Number of Absences ....... Final Grade
0 ....................... 100
1 ....................... 92
2 ....................... 83
3 ....................... 78
4 ....................... 66
5 ....................... 51
I don't know where to begin, I am running out of time. I hope someone can help!

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 
Hi,
Don't know what You have been using to determine standard deviationetc in general:
If you have a TI 83 calculator,might recommend this tutorial site:
http://www.tc3.edu/instruct/sbrown/ti83/regress.htm
r%5Bxy%5D=s%5Bxy%5D%2Fs%5Bx%5Ds%5By%5D where
s[x]= sqrt%28sum%28%28x%5Bi%5D-m%5Bx%5D%29%5E2%29%2F%28n-1%29%29 and s[y] = sqrt%28sum%28%28y%5Bi%5D-m%5By%5D%29%5E2%29%2F%28n-1%29%29
and s%5Bxy%5D+=+%28sum%28%28x%5Bi%5D-m%5Bx%5D%29%28y%5Bi%5D-m%5By%5D%29%29%2F%28n-1%29%29
In the normal Work Up using an Excel Worksheet, there is a need to sum (xi - 2.5)(yi - 78.2) as well
(xi-2.5)^2 (yi-78.2)^2 (xi-2.5)(yi-78.2)
6.25 475.24 -54.5
2.25 190.44 -20.7
0.25 14.44 -1.9
0.25 0.04 -0.1
2.25 148.84 -18.3
6.25 739.84 -68
Sum 17.5 1568.84 -163.5
s%5Bx%5D+=1.87 +s%5By%5D+=17.71 s%5Bxy%5D+=++-32.7
33.14
r+=+-32.7%2F%281.87%2A17.71%29 = -32.7/33.14 = -.9867
Regression Line 1s: y = ax + b, where
a =
and b+=+m%5By%5D+-++a%2Am%5Bx%5D
a = -163.5/17.5 = -9.34
b+=+78.2+-+%28-9.34%2A2.5%29 = 100.5
y = -9.34x + 100.5