Five observations taken for two variables follow.
1 answer:
Answer:
-60 ; -0.9689
Step-by-step explanation:
Given the data:
xi 4 6 11 3 16
yi 50 50 40 60 30
The scatter diagram indicates a linear negative relationship between x and y. Thia is indicated by the negative direction of the trend line.
Sample covariance formula:
Σ(x-xi)(y-yi) / n - 1
Using calculator : sample covariance = - 60
The variables have negative covariance meaning an increase in one variable leads to a corresponding decrease in the other.
Sample correlation Coefficient : -0.9689
This shows that a very strong negative correlation exists between both variables. Because the correlation coefficient value is very close to - 1.
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Answer:
C. 78.5 in^3
Step-by-step explanation:
A soup can is in the shape of a cylinder. The volume of a cylinder can be found using the following formula:
We know that the height is 4 inches and the radius is 2.5 inches.
r= 2.5 in
h= 4 in
Evaluate the exponent.
Multiply 6.25 in^2 and 4 in.
Multiply pi and 25 in^3.
Round to the nearest tenth. The 3 in the hundredth place tells us to leave the 5 in the tenth place.
78.5 cubic inches can fill one soup can.