Answer:
In order to test the hypothesis if the correlation coefficient it's significant we have the following hypothesis:
Null hypothesis:
Alternative hypothesis:
The statistic to check the hypothesis is given by:
And is distributed with n-2 degreed of freedom. df=n-2=10-2=8
For this case the null hypothesis represent that we don't have association betwen the dependent variable Y and the independent variable X and that means r=0. So then the best option for this case is:
The null hypothesis for the Pearson correlation coefficient states that the correlation coefficient is zero
Step-by-step explanation:
Previous concepts
The correlation coefficient is a "statistical measure that calculates the strength of the relationship between the relative movements of two variables". It's denoted by r and its always between -1 and 1.
And in order to calculate the correlation coefficient we can use this formula:
Solution to the problem
In order to test the hypothesis if the correlation coefficient it's significant we have the following hypothesis:
Null hypothesis:
Alternative hypothesis:
The statistic to check the hypothesis is given by:
And is distributed with n-2 degreed of freedom. df=n-2=10-2=8
For this case the null hypothesis represent that we don't have association betwen the dependent variable Y and the independent variable X and that means r=0. So then the best option for this case is:
The null hypothesis for the Pearson correlation coefficient states that the correlation coefficient is zero
Answer:
Step-by-step explanation:
-3x + 4y = -18
8x - 4y = 28
5x = 10
x = 2
4 - y = 7
-y = 3
y = -3
(2, -3)
Answer:
E) 2x sin(x⁶)
Step-by-step explanation:
Use second fundamental theorem of calculus.
d/dx (∫₀ˣ² sin(t³) dt)
sin((x²)³) (2x)
2x sin(x⁶)
Answer:
the answer is 30% hope this helps you
Answer:
x=-2, the axis of symmetry is at -2
Step-by-step explanation:
For a quadratic function in standard form, y=ax^2+bx+c , the axis of symmetry is a vertical line x=−b/2a
y=x^2+4x-5
a=1
b=4
x=-4/2(1)
x=-4/2
x=-2
Hope this helps! Please mark brainliest :)