Triangle N Q L has centroid S. Lines are drawn from each point through the centroid to the midpoint of the opposite side to form
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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.
Hi there! Hopefully this helps!
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It <u>decreased by 30 cents</u> per week.
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The average <em>rate of change</em> is calculated as:
the <u>ratio of the sum of the change</u> in the three weeks <u>divided by</u> <u>the number of weeks. (</u>The <em>number of weeks</em> being <u>3</u>)
<em>Rate of change</em> = .
(-60 + -10 + -20 = -90). So, to <em>simplify</em> it:
= <u><em>-30</em></u>
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Incase you are confused:
Since the average <u>rate of change</u> is <em>negative</em>, this means that the <u>stock price</u> has <em>decreased</em>.