Answer:
a) Figure attached
b) If we see the scatter plot we can conclude that the possible relation between x and y is linear and with a positive correlation since when the values of x increases the values for y increases as well.
c) 
We can find the numerator like this:
And then:
d) ![r=\frac{5(906)-(80)(50)}{\sqrt{[5(1552) -(80)^2][5(586) -(50)^2]}}=0.693](https://tex.z-dn.net/?f=r%3D%5Cfrac%7B5%28906%29-%2880%29%2850%29%7D%7B%5Csqrt%7B%5B5%281552%29%20-%2880%29%5E2%5D%5B5%28586%29%20-%2850%29%5E2%5D%7D%7D%3D0.693)
Step-by-step explanation:
Part a
For this part we use excel in order to create the scatterplot and we got the result on the figure attached.
Part b
If we see the scatter plot we can conclude that the possible relation between x and y is linear and with a positive correlation since when the values of x increases the values for y increases as well.
Part c
The sample covariance is defined as:
We can find the numerator like this:
And then:
Part d
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:
![r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}](https://tex.z-dn.net/?f=r%3D%5Cfrac%7Bn%28%5Csum%20xy%29-%28%5Csum%20x%29%28%5Csum%20y%29%7D%7B%5Csqrt%7B%5Bn%5Csum%20x%5E2%20-%28%5Csum%20x%29%5E2%5D%5Bn%5Csum%20y%5E2%20-%28%5Csum%20y%29%5E2%5D%7D%7D)
For our case we have this:
n=5 
So then the correlation coefficient would be r =0.693
Answer:
11 + n
Step-by-step explanation:
sum means addition, so u need a + sign
n is usually the variable used for 'a number'
so 11 and (+) a number (n) = 11+ n
hope this helps!
Answer:
1st problem: b) 
2nd problem: c) 
Step-by-step explanation:
1st problem:
The formula/equation you want to use is:
where
t=number of years
A=amount he will owe in t years
P=principal (initial amount)
r=rate
n=number of times the interest is compounded per year t.
We are given:
P=2500
r=12%=.12
n=12 (since there are 12 months in a year and the interest is being compounded per month)
Time to clean up the inside of the ( ).
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2nd Problem:
Compounded continuously problems use base as e.
P is still the principal
r is still the rate
t is still the number of years
A is still the amount.
You are given:
P=2500
r=12%=.12
Let's plug that information in:
.
Volume of a cube is a side length cubed
So 7*7*7
Answer is 343 centimeters
Square's are equal on all sides so if one leg of the square is eight then the others are also and in order to find the area of a square you multiply the height by the width so 8^2 or eight squared is the expression. Your answer is the area is 64 ft^2 and the expression is : 8^2=64
