Part A:
For this case we have that the relationship between time and radius is linear.
We observe that for each day that passes, the radius increases two centimeters.
Therefore, the linear function is:
y = 2x
Since the linear function is exact, the correlation coefficient is:
r = 1
Answer:
r = 1
Part B:
As the linear function is:
y = 2x
So for days 1 and 2 the slope of the graph is:
m = 2
It means that the radius increases 2 centimeters per day.
Answer:
m = 2
Part C:
The data represents a correlation.
This is because the data follows a linear trend.
The radius always grows 2 centimeters for each day that passes.
Answer:
Correlation.
Answer:
25%
Step-by-step explanation:
Given data
original quantity =12
new quantity =15
% increase= new-original/original *100
% increase= 15-12/12 *100
% increase= 3/12 *100
% increase=0.25 *100
% increase=25%
hence the increase is 25%
Answer:
For sample size n = 39 ; P(X < 31.6) = 0.9756
For sample size n = 76 ; P(X < 31.6) = 0.9970
Step-by-step explanation:
Given that:
population mean μ = 31
standard deviation σ = 1.9
sample mean
= 31.6
Sample size n Probability
39
76
The probabilities that the sample mean is less than 31.6 for both sample size can be computed as follows:
For sample size n = 39





From standard normal tables
P(X < 31.6) = 0.9756
For sample size n = 76





From standard normal tables
P(X < 31.6) = 0.9970
The rate of change of the cost of the taxi ride is $2.00 per minute.