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Bond [772]
1 year ago
15

Which scatter plot best illustrates a strong positive correlation?

Mathematics
1 answer:
tester [92]1 year ago
5 0

Answer:

  A

Step-by-step explanation:

You want to select the scatter plot with strong positive correlation.

<h3>Correlation</h3>

Correlation is a measure of how well one variable's values track the values of another variable. Perfectly correlated variables will have a scatter plot that is a straight line. The sign of the correlation (positive, negative) matches the sign of the slope of the line.

The less correlated values are, the more their scatter plot looks like a random placement of points. When there is no correlation at all, knowing the value of one of the variables gives no clue about the value of the other one.

Computed values of correlation range from -1 to +1.

<h3>Strong positive correlation</h3>

When the plot begins to resemble a line with positive slope, the variables plotted in the scatter plot have strong positive correlation. That is shown in the attached scatter plot.

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Amiraneli [1.4K]

Answer:

The cubic function is f(x) = (27/32)·x  - 3/32·x³ - -9/32·x² - 9/32

Step-by-step explanation:

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By differentiation, we have;

3·a·x² + 2·b·x + c = 0

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3·a·9 - 6·b + c = 0

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a + b + c + d = 0...(2)

Subtracting equation (1) from equation (2) gives;

28·a - 8·b + 4·c = 3

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27·a - 6·b + c = 0

3·a + 2·b + c = 0

28·a - 8·b + 4·c = 0

Solving the system of equations using an Wolfram Alpha gives;

a = -3/32, b = -9/32, c = 27/32 from which we have;

a + b + c + d = 0 3 × (-3/32) + 2 × (-9/32) + (27/32) + d = 0

d = 0 - (0 3 × (-3/32) + 2 × (-9/32) + (27/32)) = -9/32

The cubic function is therefore f(x) = (-3/32)·x³ + (-9/32)·x² + (27/32)·x + (-9/32).

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