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Zina [86]
3 years ago
11

A scientist studies a pod of humpback whales to determine the

Mathematics
1 answer:
Alborosie3 years ago
6 0

Answer:

C. A pod of humpback whales

The scientists is trying to draw a conclusion about all humpback whales by looking at the behaviors of a pod of humpback whales.

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A professor went to a website for rating professors and looked up the quality rating and also the "easiness" of the six full-tim
Marat540 [252]

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:

r=\frac{n\Sigma xy-\Sigma x\Sigma y}{\sqrt{(n\Sigma x^2-(\Sigma x)^2)(n\Sigma y^2-(\Sigma y)^2)}}

Where:

\begin{gathered} \Sigma xy=\text{ sum of the column of xy} \\ \Sigma x=\text{ sum of the column x} \\ \Sigma y=\text{ sum of the column y} \\ \Sigma x^2=\text{ sum of the column x\textasciicircum2} \\ \Sigma y^2=\text{ sum of the column y\textasciicircum2} \\ n=\text{ number of rows} \end{gathered}

Now we substitute the values, we get:

r=\frac{\left(6)(70.56)-(25.2)(16.4\right)}{\sqrt{((6)(107.12)-(25.2)^2)((6)(47.82)-(16.4)^2)}}

Solving the operations:

r=0.858

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.

7 0
9 months ago
How to solve 6×+8 = 12x-4
Tatiana [17]
Answer:

x=2

Hope this helps!
8 0
2 years ago
Three of exterior angle of n-sided polygon are 50° each two of it's interior angle are 127° and 135° and the remaining interior
irga5000 [103]

Answer:

The value of n is 21.

Step-by-step explanation:

We are given that three of the exterior angle of the n-sided polygon are 50° each two of its interior angle are 127° and 135° and the remaining interior angle are 173 each.

As we know that the sum of all exterior angles of the polygon is 360°. Also, the number of remaining interior angles will be (n - 5).

And, the exterior angle = 180° - the interior angle.

So, according to the question;

(3 \times 50) + (180-127) + (180 - 135) + (n - 5)\times (180-173) =360

150 + 53 + 45 + 7(n - 5) = 360

248 + 7n - 35 = 360

213 + 7n = 360

7n = 360 - 213

7n = 147

n = \frac{147}{7}

n = 21

Hence, the value of n is 21 and this is a 21-sided polygon.

4 0
3 years ago
Above is a table that gives the interest per every $100 financed. Use the table to determine the annual percentage rate for a 11
Sladkaya [172]
13 percent , just took the quiz
4 0
3 years ago
1. Graph the linear equation y - 1 = 2 (x - 2)
astraxan [27]
<span>y - 1 = 2 (x - 2) is the red graph.
</span><span>4x + 6y = -12 is the blue graph.
</span><span>f (x) = -</span>\frac{3}{2}<span>x - 2 is the green graph.
:)</span>

5 0
3 years ago
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