SOLUTION: For the table that follows, answer the following questions: x y 1 -1/2 2 -1 3 -3/2 4 - Would the correlation between x

Algebra ->  Probability-and-statistics -> SOLUTION: For the table that follows, answer the following questions: x y 1 -1/2 2 -1 3 -3/2 4 - Would the correlation between x       Log On


   

Question 667647: For the table that follows, answer the following questions:
x
y

1
-1/2

2
-1

3
-3/2

4










- Would the correlation between x and y in the table above be positive or negative?

- Find the missing value of y in the table.

- How would the values of this table be interpreted in terms of linear regression?

- If a "line of best fit" is placed among these points plotted on a coordinate system, would the slope of this line be positive or negative?
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
x|y

1|-1/2

2|-1

3|-3/2

4|highlight%28-2%29


y=mx%2Bb

-1%2F2=m%2A1%2Bb..........1

-1=m%2A2%2Bb..........2
_______________________subtract 1 from 2

-1-%28-1%2F2%29=2m-m%2Bb-b..........2
-1%2B1%2F2=m
-1%2F2=m.........the slope- negative
y=-%281%2F2%29x%2Bb.........now we can find b

-1=-%281%2F2%29%2A2%2Bb..........2

-1=-%281%2Fcross%282%29%29%2Across%282%29%2Bb
-1=-1%2Bb
-1%2B1=b
0=b
so, the equation is:

y=-%281%2F2%29x%2B0
highlight%28y=-%281%2F2%29x%29
now, when we see that a slope is negative and y-intercept is at (0,0), we know that graph of this line goes through II and IV quadrant,the correlation between x and y in the table above is negative
the missing value of y in the table would be:
y=-%281%2F2%294
y=-%281%2Fcross%282%29%29cross%284%292
highlight%28y=-2%29
here is the graph with all given points on it: