Which function has only one x-intercept at (-6, 0)?
2 answers:
You might be interested in
Answer:
The given data is:
x = (2, 7, 6, 10, 9, 13, 11, 18)
y = (11, 21, 12, 25, 7, 12, 4, 7)
a. The formula used for Sample Covariance is:
where, is mean of X
and is mean of Y
Firstly calculating . We get,
= 9.5
= 12.375
Now, Putting all values in above formula. We get,
Sample Covariance = -8.64
b. Standard Deviation is the square root of sum of square of the distance of observation from the mean.
where, is mean of the distribution.
Using formula we get,
Standard deviation = 4.81
c. Using above formula we get,
Standard deviation = 7.21
d. Correlation Coefficient is calculate by using formula:
where, = Covariance of X and Y
= Standard Deviation of X
= Standard Deviation of Y
Putting all values in above formula, we get,
Correlation Coefficient = -0.25
<em>Correlation Coefficient tell us that X and Y has negative week relationship whereas Sample Covariance tell us that X and Y has negative relationship. It does not tell us strength of relationship.</em>
Answer:
Step-by-step explanation:
To write an equation, use the slope-intercept equation:
M is the slope and b is the y-intercept.
First, find the slope by using the slope formula for when you have two points:
Rise over run is the change in the y-axis over the change in the x-axis. Substitute values:
Simplify parentheses (two negatives make a positive) and simplify:
The slope, m, is 4. Insert this information into the equation:
Now, take one of the points and insert into the slope-intercept formula:
Solve for b, the y-intercept. Simplify multiplication:
Add 20 to both sides and simplify:
The y-intercept, b, is 20. Insert this value into the equation:
Done.