eedlings of understory trees in mature tropical rainforests must survive and grow using intermittent flecks of sunlight. How does the length of exposure to these flecks of sunlight (fleck duration) affect growth? Researchers experimentally irradiated seedlings of the Southeast Asian rainforest tree with flecks of light of varying duration while maintaining the same total irradiance to all the seedlings. Below is the data. Fit a linear model to the data. Tree Mean Fleck (min) Relative growth rate (mm/mm/week 1 3.4 0.013 2 3.2 0.008 3 3 0.007 4 2.7 0.005 5 2.8 0.003 6 3.2 0.003 7 2.2 0.005 8 2.2 0.003 9 2.4 0 10 4.4 0.009 11 5.1 0.01 12 6.3 0.009 13 7.3 0.009 14 6 0.016 15 5.9 0.025 16 7.1 0.021 17 8.8 0.024 18 7.4 0.019 19 7.5 0.016 20 7.5 0.014 21 7.9 0.014 a)What is the rate of change in relative growth rate per minute of fleck duration? Also, provide a standard error of your estimate. (b) Use these data, test the hypothesis that fleck duration affects seedling growth rate.
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.
Seedlings of understory trees in mature tropical rainforests must survive and grow using intermittent flecks of sunlight. How does the length of exposure to these flecks of sunlight (fleck duration) affect growth? Researchers experimentally irradiated seedlings of the Southeast Asian rainforest tree with flecks of light of varying duration while maintaining the same total irradiance to all the seedlings. Below is the data. Fit a linear model to the data.
|
Tree |
Mean Fleck (min) |
Relative growth rate (mm/mm/week |
|
1 |
3.4 |
0.013 |
|
2 |
3.2 |
0.008 |
|
3 |
3 |
0.007 |
|
4 |
2.7 |
0.005 |
|
5 |
2.8 |
0.003 |
|
6 |
3.2 |
0.003 |
|
7 |
2.2 |
0.005 |
|
8 |
2.2 |
0.003 |
|
9 |
2.4 |
0 |
|
10 |
4.4 |
0.009 |
|
11 |
5.1 |
0.01 |
|
12 |
6.3 |
0.009 |
|
13 |
7.3 |
0.009 |
|
14 |
6 |
0.016 |
|
15 |
5.9 |
0.025 |
|
16 |
7.1 |
0.021 |
|
17 |
8.8 |
0.024 |
|
18 |
7.4 |
0.019 |
|
19 |
7.5 |
0.016 |
|
20 |
7.5 |
0.014 |
|
21 |
7.9 |
0.014 |
a)What is the rate of change in relative growth rate per minute of fleck duration? Also, provide a standard error of your estimate.
(b) Use these data, test the hypothesis that fleck duration affects seedling growth rate.
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