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tekilochka [14]
3 years ago
5

In order to test for the significance of a regression model involving 4 independent variables and 47 observations, the numerator

and denominator degrees of freedom (respectively) for the critical value of F are Select one: a. 3 and 43 b. 4 and 43 c. 4 and 42 d. 3 and 42
Mathematics
1 answer:
Karolina [17]3 years ago
8 0

Answer:

c. 4 and 42

Step-by-step explanation:

Given

p = 4 -- independent variables

n = 47 ---- observations

Required

The numerator and denominator degrees of freedom

The denominator degrees of freedom is:

df =n - p - 1

df =47 - 4 - 1

df =42

For the numerator, we have:

df = p

df = 4

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slega [8]

The quadratic regression equation that best fits the data set is y = 32.86x² - 379.14x  + 1369.14

<h3>The data points </h3>

The following table of values represents the data points that would be used to solve this question:

x 3 4 5 6 7 8 9

y 470 416 403 226 314 338 693

Where:

  • x represents years since 2000
  • y represents the annual revenue of a manufacturing company in thousand dollars

<h3>The function of the dataset</h3>

The table of values illustrates a quadratic function.

The function would be calculated using a graphing calculator

From the graphing calculator, we have:

a = 32.86; b = -379.14 and c = 1369.14

A quadratic regression equation is represented as:

y = ax² + bx + c

So, we have:

y = 32.86x² - 379.14x  + 1369.14

Hence, the quadratic regression equation that best fits the data set is y = 32.86x² - 379.14x  + 1369.14

<h3>Why the function type was chosen?</h3>

From the table of values in (a), we can see that as x increases; the value of y decreases and then increases after it reaches a minimum.

This illustrates the behavior of a quadratic regression function

See attachment for the scatter plot

Read more about quadratic regression equation at:

brainly.com/question/14786188

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5 0
2 years ago
What is 620,000 nearest 10 thousand
FinnZ [79.3K]

Here first we have to understand which place is 10 thousand.

6- hundred thousand

2- ten thousand

0- thousand

0- hundred

0- ten

0- one

so as we can see 2 is in ten thousands place.

Now rounding ten thousands place is done by looking up to thousands place.

If the digit at thousands place is 5 or greater than 5 then we change our ten thousands value to one digit higher else it remains same.

Here we have 0 at thousands place , which is less than 5 , so we keep the number as it is.

Answer: 620, 000

5 0
3 years ago
The area of the circle is square
Igoryamba

Answer:

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Step-by-step explanation:

r=4

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4 0
2 years ago
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Make a conjecture. What properties do you think stay the same after a translation? Check all that apply. angle measures length o
Andrews [41]
I would check all of these answers because basically, when performing a translation, you are simply moving the shape around. It is not being stretched or manipulated in shape so the angle measures, length, shape, and size would not change. Also, a translation does not rotate the object, so the orientation would not change either. :)
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3 years ago
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likoan [24]

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1 year ago
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