Question

How to test if the temperature stability is impact by the withdrawn distance of the thermometer(the length that thermometer contact the heated item?) should i use linear regression or simple comparing temperature distributions?

Answer 1

Here we can use the simple linear regression. Regression explain the relationship between the variables. Here in this example we have the response variable temperature stability and the regressor is distance of the thermometer. We can use the t test to test whether the regressor is significant or not. The overall efficiency of the model is test by F test. If there is a correlation between the variable then we can easily fit a linear model. We can further use the adjusted R squared value of the model to know the efficiency of the model.