c) Which year's production was farthest from the prediction of the logistic model? (d) What does the logistic model predict for the amount of natural gas that will be produced in the long run? Note: In other contexts, this would be known as the carrying capacity. (Use the model found in part (a).) ____ trillion
Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
(c) Which year's production was farthest from the prediction of the logistic model?
(d) What does the logistic model predict for the amount of natural gas that will be produced in the long run? Note: In other contexts, this would be known as the carrying capacity. (Use the model found in part (a).)
____ trillion
![The following table shows natural gas production N in trillions of cubic feet in the United States t years after 1940.
t= years since 1940
N = cubic ft. in trillions
3.75
10
20
30
40
50
60
8.48
15.09
23.79
21.87
21.52
24.15
(a) Make a logistic model for N as a function of t.
23.31
N(t) =
1+ 6.99e-0.14
12.54
O N(e) :
1+ 5.94e 0.35t
%3D
35.67
O N(e) =
1+ 3.41e125
29.53
O N(e)
1+ 7.58e0.BBt
%3!
34.86
O N(t)
1+ 8.54e-0.91t
%3D
(b) Graph the data and the logistic model.
N
N
30
30
25
25
20
20
15
15
10
10
5
10
20
30
40 50
60
70
10
20
30 40
50
60
70
3아
30
25
25
20
20
15
15
10
10
5
wwwt
10
20
30
40
50
60
70
10
20
30 40
50
60
70](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc2bd5e40-10e5-45c9-af2c-45d72b6a4cac%2F5e63e8d3-290e-4ef3-8224-959c01b80779%2Fm03c2bl_processed.jpeg&w=3840&q=75)
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