Answer:
Step-by-step explanation:
step 1
Find the circumference of the complete circle
The circumference is equal to
we have
substitute
step 2
Find the measure of the arc length for a central angle of 280 degrees
Remember that the circumference subtends a central angle of 360 degrees
so by proportion
step 3
Find the perimeter of the playground
Multiply by 3
Round to the nearest integer
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.
