Answer:
The purpose of testing whether β1 = 0 is to determine whether or not there is a significant relationship between x and y
Step-by-step explanation:
- The purpose of testing whether β1 = 0 is to determine whether or not the mean of the x values is equal to the mean of the y values.
No, since we are not interested if the mean for the two variables x and y are equal, we want to know if we have relationship between the two variables.
- The purpose of testing whether β1 = 0 is to determine whether or not the regression line provides a good fit for the data
No, if we want to test if the regression line provides a good fit for the data we need to use a Chi square test or other type of test.
- The purpose of testing whether β1 = 0 is to determine whether or not there is a significant relationship between x and y
Yes, the idea when we have this system of hypothesis:
Null hypothesis: 
Alternative hypothesis: 
Is see if we have a significant relationship between x and y, that means that the slope is not equal to 0.
- The purpose of testing whether β1 = 0 is to determine whether or not there is a cause-and-effect relationship between x and y.
No, when we conduct a regression we never can conclude that we have a cause-relation effect, that's not the goal when we conduct this, the idea is check if we have a type of relationship that can be linear, quadratic or other type of relationship betwen some variables.
Answer:
The vertex is (-2,10)
Step-by-step explanation:
The vertex is the maximum point on a downward facing parabola
The maximum is (-2,10)
The vertex is (-2,10)
The length of side x in simplest radical form with a rational denominator is 8√3
<h3>How to find the length of side x in simplest radical form with a rational denominator?</h3>
The given parameters are:
Triangle type = Equilateral triangle
Height (h) = 12
Missing side length = x
The missing side length, x is calculated using the following sine ratio
sin(60) = Height/Missing side length
This gives
sin(60) = 12/x
Make x the subject of the formula
So, we have
x = 12/sin(60)
Evaluate the quotient
So, we have
x = 12/(√3/2)
This gives
x = 24/√3
Rationalize
x = 24/√3 * √3/√3
Evaluate
x = 8√3
Hence, the length of side x in simplest radical form with a rational denominator is 8√3
Read more about triangles at
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The constant of proportionality k is 3.5
Step-by-step explanation:
Proportionality describes any relationship that is always in the same
ratio
If two quantities x and y are in proportionality, then
1. y ∝ x
2. y = k x , where k is the constant of proportionality
∵ x ⇒ 6 , 7 , 8 , 9
∵ y ⇒ 21 , 24.5 , 28 , 31.5
∵ y ∝ x
∴ y = k x
- Use x = 6 and y = 21 to find the value of k
∵ x = 6 and y = 21
∴ 21 = k (6)
- Divide both sides by 6
∴ k = 3.5
- Use x = 7 and y = 24.5 to find the value of k
∵ x = 7 and y = 24.5
∴ 24.5 = k (7)
- Divide both sides by 7
∴ k = 3.5
- Use x = 8 and y = 28 to find the value of k
∵ x = 8 and y = 28
∴ 28 = k (8)
- Divide both sides by 8
∴ k = 3.5
- Use x = 9 and y = 31.5 to find the value of k
∵ x = 9 and y = 31.5
∴ 31.5 = k (9)
- Divide both sides by 9
∴ k = 3.5
The constant of proportionality k is 3.5
Learn more:
You can learn more about proportionality in brainly.com/question/10708697
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Answer:
136.74
Step-by-step explanation:
6 percent of $129 is $7.74
129 plus 7.74 = 136.74
