Consider:
2 answers:
Answer:
Step-by-step explanation:
First, graph points:
(-3, -4) is not necessary but you can graph it
(5,2)
(11,-6)
The slope is change over y over change over x
y is rise
x is run
rise / run
rise (y) = 6
run (x) = 8
Simplify the fraction 6/8
6 ÷ 2 = 3
8 ÷ 2 = 4
= 3/4
This is not a negative slope because the line is going up from the left, not down from the right.
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We are asked to determine the correlation factor "r" of the given table. To do that we will first label the column for "Quality" as "x" and the column for "Easiness" as "y". Like this:
Now, we create another column with the product of "x" and "y". Like this:
Now, we will add another column with the squares of the values of "x". Like this:
Now, we add another column with the squares of the values of "y":
Now, we sum the values on each of the columns:
Now, to get the correlation factor we use the following formula:
Where:
Now we substitute the values, we get:
Solving the operations:
Therefore, the correlation factor is 0.858. If the correlation factor approaches the values of +1, this means that there is a strong linear correlation between the variables "x" and "y" and this correlation tends to be with a positive slope.
