Add the polynomials. (3x3 - 3x2 - 4x + 9) +(6x2 +7x - 5)
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We have been given that an employee shreds 341 pages in 11 minutes of work.
First of all we will divide 341 by 11 to find number of pages shred by employee in one minute.
Now let us multiply 31 by 20 to find number of pages shred by employee in 20 minutes.
Therefore, employee will shred 620 pages in 20 minutes.
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.
