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ivolga24 [154]
2 years ago
11

An important assumption underlying inferences from a linear regression is that variance in the response variable is reasonably c

onsistent across the range of an explanatory factor (otherwise known as homoscedasticity).A. True B. false
Mathematics
1 answer:
rewona [7]2 years ago
5 0

Answer:

A. True

Step-by-step explanation:

Linear regression is "an analysis that assesses whether one or more predictor variables explain the dependent (criterion) variable.  The regression has five key assumptions:

1) Linear relationship : We need to check if the dependnet variable present a linear relationshipThe linearity assumption can best be tested with scatter plots in order to check if we have outliers in the data.

2) Multivariate normality : "The linear regression analysis requires all variables to be multivariate normal".  And we can check this with a histogram or a Q-Q-Plot, usually Normality can be checked with a goodness of fit test like the Kolmogorov-Smirnov test or Shapiro Wilks test.

3) No or little multicollinearity : "Multicollinearity occurs when the independent variables are too highly correlated with each other". And we can check this with a correlation matrix, variance inflation factor (VIF's), correlation index and other statistics.

4) No auto-correlation : The "Autocorrelation happens when the residuals are not independent from each other in the data". And usually we can test this with the Durbin-Watson test.

5) Homoscedasticity: MEans that we need constant variance for the linear model. The scatter plot is good way to check whether the data are homoscedastic. And we can interpret this condition as "that variance in the response variable is reasonably consistent across the range of an explanatory factor (otherwise known as homoscedasticity)"

So then the statement is TRUE.

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What is the area of the shaded segment?
Whitepunk [10]

Answer:

6\pi-9\sqrt{3

Step-by-step explanation:

The area of a pie-slice shape can be found with the equation A=\pi nr^2/360 where n is the angle of the shape and r is the radius of the circle. In this case, n=60 and r=6. Therefore, the total area of the pie-slice is \pi (60)(6^2)/360=6 \pi

Next, the triangle that makes up the unshaded part of the segment is an equilateral triangle because the angle is 60. The area of an equilateral triangle is \sqrt{3}r^2/4 where r is the length of one of its side (in this case, r=6). Plugging that in, we get an area of 9 \sqrt{3}

Finally, the area of the shaded is the area of the pie-slice minus the area of the triangle: 6\pi-9\sqrt{3

8 0
3 years ago
Which inverse operation would be used to verify the follong equation? 102 / 3 = 34
Flauer [41]
Multiplication would be the inverse operation of division. so it would be, 3 x 34 = 102
6 0
3 years ago
Q^2-4q-21=0 solve the equation
kobusy [5.1K]

q= 7 or q= -3


Hope i helped :)

8 0
2 years ago
What is the solution to the equation e^3x=12 Round your answer to the nearest hundredth
Lunna [17]

Keywords:

<em>equation, variable, clear, round, centesima, neperian logarithm, exponential </em>

For this case we have the following equation e ^ {3x} = 12, from which we must clear the value of the variable "x" and round to the nearest hundredth. To do this, we must apply properties of neperian and exponential logarithms. By definition:

ln (e ^ x) = x

So:

e ^ {3x} = 12 We apply Neperian logarithm to both sides:

ln (e^{3x}) = ln (12)\\3x = ln (12)

We divide between "3" both sides of the equation:

\frac {3x} {3} = \frac {ln (12)} {3}\\x = \frac {ln (12)} {3}\\x = 0.828302217

Rounding out the nearest hundredth we have:

x = 0.83

Answer:

x = 0.83

3 0
3 years ago
Read 2 more answers
What is the answer to this problem 3z+4=34
finlep [7]
Solve for z

3z+4=34

Subtract 4 from both sides. 

= 3z=30

Divide both sides by 3

z=10


Hope I helped! :D

3 0
3 years ago
Read 2 more answers
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