What do the coefficients in regression analysis mean?

What do the coefficients in regression analysis mean?

In regression analysis, coefficients represent the relationship between independent variables and the dependent variable. They indicate how much the dependent variable is expected to change when the independent variable increases by one unit, holding other variables constant.

Can you explain how to interpret a positive coefficient?

A positive coefficient means that as the independent variable increases, the dependent variable also tends to increase. For example, if the coefficient is 2, a one-unit increase in the independent variable results in a two-unit increase in the dependent variable.

What about a negative coefficient?

A negative coefficient indicates an inverse relationship. If the coefficient is -3, for instance, a one-unit increase in the independent variable would lead to a three-unit decrease in the dependent variable.

How do I know if a coefficient is statistically significant?

You can determine statistical significance by looking at the p-value associated with the coefficient. A common threshold is 0.05; if the p-value is below this, the coefficient is considered statistically significant.