STATISTICS II (İSTATİSTİK II) - (İNGİLİZCE) Dersi Correlation and Regression Analysis soru detayı:
SORU:
Explain the significance test of regression line.
CEVAP:
Once, a simple linear regression model is created, you may ask the following question to yourself “do we really need to know the values of the independent variable in order to estimate the values of the dependent variable?”. Specially, let’s put our attention on the slope of the regression line. Remember in the simple linear regression model for the population, the slope is represented by ß. If the value of the ß is equal to zero then this component should be taken out from the simple linear regression model, then the population regression line is just an average, yi= y?. Therefore, this means that we don’t need the independent variable (x) to predict the values of dependent value (y). If the value of the ß is not equal to zero, then the values of the independent variable can be used to predict the values of the dependent variable. Therefore, we need to test whether ß = 0. The alternative hypothesis, in this case, is two-sided and written as ß ? 0.