Salazar assigns the same number of homework questions each school day. The ratio table below shows the total number of homework
questions assigned after a certain number of school days.
After 16 days, how many total homework questions have been assigned?
A:60
B:80
C:95
D:115
After 16 days, how many total homework questions have been assigned?
A:60
B:80
C:95
D:115
1 answer:
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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.
