Answer:
Option b) r = 0.70
Step-by-step explanation:
We are given the following in he question:
Variables:
x = the number of hours spent studying for a test
y = the number of points earned on the test
- Correlation is a technique that help us to find or define a relationship between two variables.
- A positive correlation means that an increase in one quantity leads to an increase in another quantity
- A negative correlation means with increase in one quantity the other quantity decreases.
- +1 tells about a a perfect positive linear relationship and −1 indicates a perfect negative linear relationship.
- Values between 0 and 0.3 tells about a weak positive linear relationship, values between 0.3 and 0.7 shows a moderate positive correlation and a correlation of 0.7 and 1.0 states a strong positive linear relationship.
- Values between 0 and -0.3 tells about a weak negative linear relationship, values between -0.3 and -0.7 shows a moderate negative correlation and a correlation value of of -0.7 and -1.0 states a strong negative linear relationship.
As the number of hours increases, the number of points earned on the test increases. Thus, the two variables are positively correlated.
Thus, the coefficient correlation between two variables can be given by r = 0.70, that shows a moderate positive correlation.
Option b) r = 0.70
Answer:
A.
(1,3)
(2,7)
(3,11)
(4,15)
Step-by-step explanation:
I plotted the points into a graphing calculator
Answer:
Equal.
Step-by-step explanation:
The volume of the rectangular prism is:
V = length x width x height
V = 3a x 2b x c
V = 6abc
The volume of the pyramid is:
V = (base area x height)/3
V = (a x b x 18c)/3
V = 18abc/3
V = 6abc
The two volumes are equal.
Answer:
251.33 = 251
Step-by-step explanation:
V= πr²h = π·2²·20 ≈ 251.32741 = 251.33
Answer:

Step-by-step explanation:
GIVEN: Daniel invests
in a retirement account with a fixed annual interest rate of
compounded
times per year.
TO FIND: What will the account balance be after
years
SOLUTION:
Amount invested by Daniel 
Annual interest rate
Total amount generated by compound interest is 
Here Principle amount 
rate of interest 
number of times compounding done in a year 
total duration of time 
putting values we get
=


Hence the total balance after
will be 