SOLUTION: I need help doing a prediction for a graphic problem have must predict the mathematics score for a science score of 50. the graph is a class of students science and math scores

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Question 64874: I need help doing a prediction for a graphic problem have must predict the mathematics score for a science score of 50.
the graph is a class of students science and math scores from 1985-89-on the left side of graph is science scores from 70 down to 40 math scores on both of graph 40 thru 80...
yr-1985 math score 60 science 65
yr-1986 " " 53 " 65
yr-1987 " " 44 " 57
yr-1988 " " 61 " 61
yr-1989 " " 70 " 67
How do i predict the math score of correspondending science score of 50?
and how would i predict the science of corresponding math score of 65?

Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!
I need help doing a prediction for a graphic 
problem have must predict the mathematics score 
for a science score of 50.

the graph is a class of students science and math 
scores from 1985-89-on the left side of graph is 
science scores from 70 down to 40 math scores on 
both of graph 40 thru 80... 
yr-1985 math score 60 science 65
yr-1986 "    "     53  "      65
yr-1987 "    "     44  "      57
yr-1988 "    "     61  "      61
yr-1989 "    "     70  "      67

How do i predict the math score of correspondending 
science score of 50? and how would i predict the 
science of corresponding math score of 65? 

We form the regression line for the points

(60,65), (53,65), (44,57), (61,61), (70,67)

Look up the formula for m and b in your book
and then the equation of the regression line
is y = mx + b.

Plugging in the formulas, which are rather
complicated, you will get m = .318336161 and 
b = 44.67550371.  If you have trouble
plugging in those formulas then post again.
Sometimes books will use letter "a" instead of
"m".

y = .318336161x + 44.67550371

Then we plug in x = 50, and solve for y, and get

y = 60.59231176

Then we plug in 65 for y, and solve for x

x = 63.84601808

Edwin