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3 years ago

Question

Mathematics

1 answer:

Zielflug [23.3K]3 years ago

4 0

Convert the 6 seconds to hours:

5 seconds x x 1/60 ( minutes per seconds) x 1/60 (Hours per minute) = 6/3600 = 1/600 hours.

Distance = speed x time

Distance = 585 x 1/600 = 585/600 = 0.975 miles

Convert miles to feet:

0.975 x 5280 = 5,148 feet

The plane traveled 5,148 feet in 6 seconds.

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The value of correlation coefficient (r) for the dataset is 0.981

<h3>What is correlation coefficient (r)?</h3>

The correlation coefficient (r) is used to determine the closeness and association of a scatter plot points.

The dataset is given as:

x: 8 15 3 7 2 14
y: 15 21 6 12 3 20

Using a graphing calculator, we have the following parameters:

<h3>X Values </h3>

∑x = 49
Mean = 8.167
∑(X - Mx)2 = SSx = 146.833

<h3>Y Values </h3>

∑y = 77
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<h3>X and Y Combined </h3>

N = 6
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The correlation coefficient (r) is then calculated as:

$r = \frac{\sum{((x - My)(Y - Mx)) }}{ \sqrt{((SSx)(SSy))}}$

This gives

$r = \frac{194.167 }{ \sqrt{((146.833)(266.833))}}\\$

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Read more about correlation coefficient at:

brainly.com/question/4219149

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