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SCORPION-xisa [38]
1 year ago
11

Select the correct answer. Which sentence correctly describes a data set that follows a normal distribution with a standard devi

ation of 4 and a mean of 14? A. 68% of the data points lie between 10 and 14. B. 68% of the data points lie between 8 and 12. C. 68% of the data points lie between 10 and 18. D. 68% of the data points lie between 10 and 16.
Mathematics
2 answers:
enot [183]1 year ago
8 0
Your correct answer will be option C for this question.
Artyom0805 [142]1 year ago
5 0

Answer: Option (c) is correct.

68% of the data points lie between 10 and 18.

Step-by-step explanation: Given :  a normal distribution with a standard deviation of 4 and a mean of 14

We have to choose the  sentence that correctly describes a data set that follows a normal distribution with a standard deviation of 4 and a mean of 14.

Since, given 68% data.

We know mean of data lies in middle.

And standard deviation is distribute equally about the mean that is 50% of values less than the mean  and 50% greater than the mean.

So, 68% of data lies

mean - standard deviation = 14 - 4 = 10

mean + standard deviation = 14 + 4 = 18

So, 68% of the data points lie between 10 and 18.

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The line through (0, 2) and (2,6)
tiny-mole [99]
The slope of the line is 2 if that is what you're looking for
6 0
2 years ago
Assumptions of a regression model can be evaluated by plotting and analyzing the ____________
Gala2k [10]

The assumptions of a regression model can be evaluated by plotting and analyzing the error terms.

Important assumptions in regression model analysis are

  1. There should be a linear and additive relationship between dependent (response) variable and independent (predictor) variable(s).
  2. There should be no correlation between the residual (error) terms. Absence of this phenomenon is known as auto correlation.
  3. The independent variables should not be correlated. Absence of this phenomenon is known as multi col-linearity.
  4. The error terms must have constant variance. This phenomenon is known as homoskedasticity. The presence of non-constant variance is referred to heteroskedasticity.
  5. The error terms must be normally distributed.

Hence we can conclude that the assumptions of a regression model can be evaluated by plotting and analyzing the error terms.

Learn more about regression model here

brainly.com/question/15408346

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4 0
2 years ago
Point A is located at negative 5 over 8 and point B is located at negative 2 over 8. What is the distance between points A and B
ki77a [65]
<h2>Answer:</h2>

Option: A is the correct answer.

A.  negative 5 over 8 minus negative 2 over 8 = negative 3 over 8; therefore, the distance from A to B is absolute value of negative 3 over 8 equals 3 over 8 units.

<h2>Step-by-step explanation:</h2>

The location of Point A is : A(-5/8)

and Point B is located at : B(-2/8)

We know that when two points lie over a number line then the distance between the two points is the absolute difference between the two points.

If A is located at a.

and B is located at b.

Then the distance between A and B is given by:

             |a-b|

Hence, here the distance between A and B is given by:

|\dfrac{-5}{8}-(\dfrac{-2}{8})|=|\dfrac{-5}{8}+\dfrac{2}{8}|=|\dfrac{-3}{8}|=\dfrac{3}{8}\\\\i.e.\\\\\text{Distance between A and B is}=\dfrac{3}{8}\ \text{units}

8 0
2 years ago
Read 2 more answers
-
OlgaM077 [116]

Answer: D

Step-by-step explanation:

g(x)=f(x-2)=8(x-2)+1=8x-16+1=8x-15

5 0
2 years ago
Read 2 more answers
Hey another one so sorry T^T
konstantin123 [22]

Answer and Step-by-step explanation:

-6 and -10 are the answers.

This is because these numbers are less than -5, so they would work when plugged in for h in the inequality.

<u><em>#teamtrees #PAW (Plant And Water)</em></u>

8 0
2 years ago
Read 2 more answers
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