Forest Fires and Acres Burned An environmentalist wants to determine the relationships between the numbers (in thousands) of forest fires over the year and the number (in hundred thousands) of acres burned. The data for 6 recent years are shown. Number of fires x 58 47 84 62 57 45 Number of acres burned y 19 26 51 15 30 15 Send data to Excel Part 1 of 5 Your Answer is correct (a) Draw the scatter plot for the variables. Fires and Acres Burned Acres burned 100,000s y 5 10 15 20 25 30 35 40 45 50 55 60 65 70 x 10 20 30 40 50 60 70 80 90 0 Fires 1000s Part: 1 / 5 1 of 5 Parts Complete Part 2 of 5 (b) Compute the value of the correlation coefficient. Round your answer to at least three decimal places. r=?
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.
Forest Fires and Acres Burned An environmentalist wants to determine the relationships between the numbers (in thousands) of forest fires over the year and the number (in hundred thousands) of acres burned. The data for
| Number of fires
x
|
58
|
47
|
84
|
62
|
57
|
45
|
|
|---|---|---|---|---|---|---|---|
| Number of acres burned
y
|
19
|
26
|
51
|
15
|
30
|
15
|
|
(a) Draw the
| Fires and Acres Burned | |
|
Acres burned
100,000s
|
y
5
10
15
20
25
30
35
40
45
50
55
60
65
70
x
10
20
30
40
50
60
70
80
90
0
|
| Fires
1000s
|
(b) Compute the value of the
|
r=?
|
|
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