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Is the slope of the regression line significantly different from zero?
If we find that the slope of the regression line is significantly different from zero, we will conclude that there is a significant relationship between the independent and dependent variables.
What is the P value for testing whether the slope differs from zero?
The P value answers the question: If the true slope is zero, what is the chance that the slope will be further from zero than the observed slope due only to random sampling. Since the observed slope is zero, there is almost a 100% chance of obtaining a slope that is further than zero than observed!
How to test the slope of a regression?
Examine the confidence interval of the slope coefficient. If it includes 1, then we will not reject the null hypothesis stating that the slope is 1. The drawback is that you will not know the p-value other than it has to be smaller than 0.05.
What does a slope of R close to 1 mean?
Values of r close to 1 imply that there is a positive linear relationship between the data. This means that as x increases that y also increases. Values of r close to -1 imply that there is a negative linear relationship between the data.
How to compare a regression to a predictor?
To Compare Regression Coefficients, Include an Interaction Term. But if you want to compare the coefficients AND draw conclusions about their differences, you need a p-value for the difference. Luckily, this is easy to get. Simply include an interaction term between Sex (male/female) and any predictor whose coefficient you want to compare.
Do you need a p-value to compare regression coefficients?
If you’re just describing the values of the coefficients, fine. But if you want to compare the coefficients AND draw conclusions about their differences, you need a p-value for the difference. Luckily, this is easy to get. Simply include an interaction term between Sex (male/female) and any predictor whose coefficient you want to compare.