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algol13
2 years ago
10

Which is most likely the correlation coefficient for the set of data shown?

Mathematics
2 answers:
motikmotik2 years ago
8 0

we know that

<u>The correlation coefficient </u>is a number between -1 and +1 that represent the linear dependence of two variables or sets of data

Let

A(1,4)\ B(2,1.5)\ C(3,3)\ D(4,4)\ E(5,2)

Using the function CORREL in a Excel tool

Find the correlation coefficient for the set of data

see the attached table

the correlation coefficient is  r=-0.20801

therefore

<u>the answer is the option B</u>

-0.21


sweet-ann [11.9K]2 years ago
7 0
Slope is negative with a slight gradient so = -0.21
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A circle can intersect a parabola in

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3 0
2 years ago
A contractor has at most $42 to spend on nails for a project. Finishing nails cost $0.45 per pound and common nails cost $0.60 p
mojhsa [17]

<em><u>Question:</u></em>

A contractor has at most $42 to spend on nails for a project. Finishing nails cost $0.45 per pound and  common nails cost $0.60 per pound. He would like to purchase at least 30 pounds of nails total. Write a system of linear inequalities

<em><u>Answer:</u></em>

The system of linear inequalities are:

x + y\geq 30\\\\0.45x+0.60y\leq 42

<em><u>Solution:</u></em>

Let "x" be the pounds of finishing nails

Let "y" be the pounds of common nails

Given that,

He would like to purchase at least 30 pounds of nails total.

"at least" means that he can purchase 30 pounds or more than 30 pounds also

So, we have to use "greater than or equal to" symbol

x + y\geq 30

From given,

Cost of 1 pound of finishing nail = $ 0.45

Cost of 1 pound of common nail = $ 0.60

A contractor has at most $42 to spend on nails for a project

"at most" means he can spend 42 or less than 42

So we have to use " less than or equal to" symbol

Thus we frame a inequality as:

x \times 0.45 + y \times 0.60\leq 42\\\\0.45x + 0.60y\leq 42

Thus the system of inequalities are:

x + y\geq 30\\\\0.45x+0.60y\leq 42

4 0
2 years ago
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