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.
Answer:
All you have to do is replace the X with the number on the table
Step-by-step explanation:
so the first number is -3 so 3×-3+2
that equals -7 so put -7 as the first number under y. can continue like that
The point estimate would be 2.25%.
Confidence intervals are centered around a point estimate; that is, the point estimate is in the very middle of the confidence interval. We can find the point estimate by averaging both ends of the confidence interval together:
(1.1+3.4)/2 = 2.25.
First compute the perimeter of the pool:
(21+33)*2=108 foot.
Since the material cover 232 ft^2, then it is sufficient to divide the above number over the length of the border like this:
232/108=2.1
The trip can be 2.1 ft in wide.
Answer:
The number of different lab groups possible is 84.
Step-by-step explanation:
<u>Given</u>:
A class consists of 5 engineers and 4 non-engineers.
A lab groups of 3 are to be formed of these 9 students.
The problem can be solved using combinations.
Combinations is the number of ways to select <em>k</em> items from a group of <em>n</em> items without replacement. The order of the arrangement does not matter in combinations.
The combination of <em>k</em> items from <em>n</em> items is: 
Compute the number of different lab groups possible as follows:
The number of ways of selecting 3 students from 9 is = 
Thus, the number of different lab groups possible is 84.
