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Mice21 [21]
3 years ago
14

After running a regression, you plotted the residual against the predicted value. You observed that the residuals seem to increa

se (in absolute value) as the predicted value increases. You therefore transformed the dependent variable by taking the natural logarithm of it.?After the transformation is applied you now should see that.. A. the error term has a constant variance. B. the residuals have a constant spread around the predicted value. C. the residuals are all close to zero. D. the residuals decrease (in absolute value) as the predicted value increases.
Mathematics
1 answer:
DENIUS [597]3 years ago
4 0

Answer:

A. the error term has a constant variance

Step-by-step explanation:

Firstly, note that it is observed the residuals increase as the predicted value increases. Now the natural logarithm transformation will change will change a skewed variable into a normal distributed value, which leads to a linear regression between the both variables, since they (the independent and dependent variables) are normal. A key assumption of linear regression is Homoscedasticity, therefore the error term obtains the same finite variance.

So as soon as the transformation is applied, the error term will therefore have a constant variance.

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olga nikolaevna [1]
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Subtract 2x from both sides

-8=10x-3
Add 3 to both sides
-5=10x
Divide both sides by 10
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3 0
3 years ago
What is the cube root of 216x^9y^18?
PilotLPTM [1.2K]

Answer:

The cube root of given expression is 6x^3y^6.

Step-by-step explanation:

The given expression is

\sqrt[3]{216x^9y^{18}}

It can be written as

Use the exponent property: a^{mn}=(a^m)^n

\sqrt[3]{216x^9y^{18}}=\sqrt[3]{6^3(x^3)^3(y^6)^{3}}

\sqrt[3]{216x^9y^{18}}=\sqrt[3]{(6x^3y^6)^{3}}

\sqrt[3]{216x^9y^{18}}=6x^3y^6

Therefore the cube root of given expression is 6x^3y^6.

8 0
3 years ago
A rectangular playground is to be fenced off and divided in two by another fence parallel to one side of the playground. Three h
neonofarm [45]

Answer:

  • 50 ft by 75 ft
  • 3750 square feet

Step-by-step explanation:

Let x represent the length of the side not parallel to the partition. Then the length of the side parallel to the partition is ...

  y = (300 -2x)/3

And the enclosed area is ...

  A = xy = x(300 -2x)/3 = (2/3)(x)(150 -x)

This is the equation of a parabola with x-intercepts at x=0 and x=150. The line of symmetry, hence the vertex, is located halfway between these values, at x=75.

The maximum area is enclosed when the dimensions are ...

  50 ft by 75 ft

That maximum area is 3750 square feet.

_____

<em>Comment on the solution</em>

The generic solution to problems of this sort is that half the fence (cost) is used in each of the orthogonal directions. Here, half the fence is 150 ft, so the long side measures 150'/2 = 75', and the short side measures 150'/3 = 50'. This remains true regardless of the number of partitions, and regardless if part or all of one side is missing (e.g. bounded by a barn or river).

6 0
3 years ago
What is the least What is the least common multiple of four and 12
STatiana [176]

Answer:

2

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
The value of a house has increased by 5% the house is now valued at £609000 what is the value of the house before the increase?
lutik1710 [3]

Answer:

Current \ price = 609000\\\\Let \ the \ original \ price \ be = x\\\\\% increase = 5 \% \ of \ x = \frac{5}{100} \times x = \frac{5x}{100}\\\\Price \ after \ increase, current\ price = \frac{5x}{100} + x\\\\

=> 609000 = \frac{5x}{100} + x\\\\=>609000 = \frac{105x}{100}\\\\=> x = \frac{609000 \times 100}{105}\\\\x = 580000

Therefore original price = $580,000

3 0
3 years ago
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