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3 years ago

If two of the ordered pairs was removed which two data points will cause the correlation to decrease the most? Select Two points

Mathematics

1 answer:

jekas [21]3 years ago

3 0

Answer:

1. Data point A

4. Data point D

Step-by-step explanation:

In a scatter plot, the closer the clustered data points are close to the best line of fit, the greater the correlation that would exist between the two variables.

If we are to draw a best line of fit in the scatter plot that is shown above, the closest data points amongst data points A, B, C, D, and E, that would be close to the best line of fit are data points A and D.

Therefore, removing data point A and point D would cause the correlation to decrease the most.

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The next three terms of -243, 81, -27, 9 is $-3,1, \frac{-1}{3}$ The given series is geometric series

<u>Solution:</u>

Given, series is -243, 81, -27, 9, …

We have to find the next three terms of the above given series.

Now, the given series can also be written as

$-243,-243 \times\left(\frac{-1}{3}\right)^{1},-243 \times\left(\frac{-1}{3}\right)^{2},-243 \times\left(\frac{-1}{3}\right)^{3}$

We can say that, above series is in Geometric Progression with first term = -243 and common ratio = $\frac{-1}{3}$

Then, next three term would be,

$-243 \times\left(\frac{-1}{3}\right)^{4},-243 \times\left(\frac{-1}{3}\right)^{5},-243 \times\left(\frac{-1}{3}\right)^{6} \rightarrow-3,1, \frac{-1}{3}$

Hence, the next three terms of given G.P series are $-3,1, \frac{-1}{3}$

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