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Lapatulllka [165]
3 years ago
14

The independent variable of interest in an ANOVA procedure is called a a. partition. b. factor. c. treatment. d. response.

Mathematics
1 answer:
Andru [333]3 years ago
4 0

Answer:

Option b (factor) is the correct choice.

Step-by-step explanation:

ANOVA would be used to assess whenever there were other statistically representative variations seen between results of two or even more individual (totally unconnected) categories.

<u>Two different kinds of independent variables exist such as:</u>

  • Active
  • Reference

If the explanatory variables are such an effective variable otherwise we modify the argument of the variable to test its effect on something like a specific parameter.

Certain solutions don't apply to the specified scenario. So choice B was its perfect method for that.

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Hi there!

\large\boxed{\text{At (-1, -2), }\frac{dy}{dx} = -\frac{2}{5}}}

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We can calculate dy/dx using implicit differentiation:

xy + y² = 6

Differentiate both sides. Remember to use the Product Rule for the "xy" term:

(1)y + x(dy/dx)  + 2y(dy/dx) = 0

Move y to the opposite side:

x(dy/dx) + 2y(dy/dx) = -y

Factor out dy/dx:

dy/dx(x + 2y) = -y

Divide both sides by x + 2y:

dy/dx = -y/x + 2y

We need both x and y to find dy/dx, so plug in the given value of x into the original equation:

-1(y) + y² = 6

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y² - y - 6 = 0

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Thus, y = -2 and 3.

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At y = -2: dy/dx = -(-2) / -1+ 2(-2) = -2/5.

At y = 3: dy/dx = -(3) / -1 + 2(3) = -3/5.

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