Five observations taken for two variables follow. xi 4 6 11 3 16
yi 50 50 40 60 30
a. Develop a scatter diagram with x on the horizontal axis.
b. What does the scatter diagram developed in part (a) indicate about the relationship
between the two variables?
c. Compute and interpret the sample covariance.
d. Compute and interpret the sample correlation coefficient.

-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.

the total estimated nappy use.=10,500,000

step-by-step explanation:

given that on an average the average baby uses 3528 napkins.

in a particular year 2014, the number of births were 299697 in new south wales.

rounding off the number of births to the nearest hundred thousand we have

no of birtsh = 300000

also rounding off the average usage to nearst thousand we get

average use of a baby = 3500

hence total number of nappy estimated to be used = 3500x300000

= 10,500,000

answer is 10,500,000 nappies

the answer is 13/48

step-by-step explanation: