Answer:
The Pearson's coefficient of correlation between the is 0.700.
Step-by-step explanation:
The correlation coefficient is a statistical degree that computes the strength of the linear relationship amid the relative movements of the two variables (i.e. dependent and independent).It ranges from -1 to +1.
The formula to compute correlation between two variables <em>X</em> and <em>Y</em> is:
The formula to compute covariance is:
The formula to compute the variances are:
Consider the table attached below.
Compute the covariance as follows:
Thus, the covariance is 75.
Compute the variance of X and Y as follows:
Compute the correlation coefficient as follows:
Thus, the Pearson's coefficient of correlation between the is 0.700.
Answer:
1. Technically 2, but might be 0 in your teacher's opinion.
2. 1
Step-by-step explanation:
Solving problem one.
So I don't know if you have learned about imaginary numbers, but if you have, then you would end up with two answers if you plugged in the quadratic formula.
If you haven't learned about imaginary numbers, then I would say your best option would be to write 'No real solution' since there are technically 2 solutions.
Solving problem two.
Turns out this quadratic has a special property and it's actually a square of one equation. You can find out by just factoring the equation.
It's (3x-2)^2. Since it's squared, that means that only 2/3 would work as x in this equation.
Answer:
A. Right angle -- if you multiply the slopes of 2 intersecting lines and you "-1" then the lines are perpendicular - in this case the line in quadrant 3 has a slope of "1" and the line in quadrant 4 has a slope of "-1", hence their product is "-1" and the angles formed at the intersection of the lines are right angles.
Step-by-step explanation:
Answer:
Subtracting
Step-by-step explanation:
We know that the slope of a line is given by the rise over run. where rise is vertical difference between two points and run is the horizontal distance between the points.
Answer:
-91/18
Step-by-step explanation:
hope this helps!