KEY FEATURES: Introduces students to developing research questions and shows their importance in driving research design. Rarely taught topics, such as how to enter and clean data, offer students information missed in both research methods and statistics courses. Shows how to write up survey results for academic, business and nonprofit reports to alleviate the confusion students feel about how to write up findings. Rigorous treatment of sampling focuses on many sampling issues from probability theory to weighting. Offers the process of actually conducting a survey with advice on administering surveys, incentives, and improving response rates.

# How Do We Know if the Regression Coefficients Are Statistically Significant?

### How Do We Know if the Regression Coefficients Are Statistically Significant?

In the previous question we regressed income on education. We are interested in the relationship between education and income. That relationship is called the slope. We want to know if the relationship between education and income is statistically significant in the population. We set the null hypothesis to say there is no association between education and income or b1 = 0. The alternative hypothesis is that b1 ≠ 0. The regression results tell us that the b1 slope is 2,878.61, but how do we know if it is statistically significant?

In Q88 we looked only at the parameter estimates to use in the regression equation. But there are several additional items in the ...