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:
- 1/2
Step-by-step explanation:
(-4/5) × (- 5/8)
- 4/5 × - 5/8
First we mulitply across
The top and the bottom.
- 20 / 40
because -4 × -5 = +20
and -5 × -8 = +40
Now we simplify the fraction
- 20 / 40
= - 2 /4
= - 1/2
Because we have to simplify it and so I divided it by 10 first.
-20 ÷ 10 = -2 and -40 ÷ 10 = -4
Then I simplified it again by dividing it by 2.
-2 ÷ 2 = -1 and -4 ÷ 2 = -2
So finally we have:
-1/2
And we cannot simplify that anymore so that is the answer.
Hope that helped!
Answer:
94cm^3
Step-by-step explanation:
Volume of cone is 1/3 x PI x radius^ 2 x height
Volume of cone = 1/3 x 22/7 X (3)^2 x10
=94.285cm^3
=94cm^3 (nearest whole number)