e-Statistics

# Simple Linear Regression

Suppose that the researcher wants to find how increasing the amount of a certain chemical in the soil increases the amount of that chemical found in the plants. Then independent experiments are conducted with different amounts of the chemical, and data are produced, consisting of the amounts of the chemical in the plants paired with the respective amounts of the chemical in soil.

 Amount in soil Amount in plant

We call the variable for 's independent (or explanatory) variable, and the variable for 's dependent (or response) variable. When the relationship between the independent variable and the dependent variable is approximated by

it is called a simple linear regression model. Here is introduced as random error'' due to difference between plants, soils, and other possible factors in the experiment.