What are the differences between interpolation, extrapolation, regression and curve fitting?

You are interested in whether there are gender differences in voting behaviour using the European Social Survey. Youestimate a regression model with being a woman as the single explanatory variable. Clearly write down the regression model.

You run a regression of homework grades on hours spent studying, and get the following regression equation: Grade = 94 – 6.2 * Hours_Spent_Studying + error What is your takeaway from this regression? Group of answer choices a) Studying is bad, and causes worse grades. b) Students don’t know how to study very well. c) A few outliers are skewing the results. d) Students who are less confident study more, but still do worse. There is an omitted variable skewing the results.

What kind of plot is useful for deciding whether it is reasonable to find a regression plane for a set of data points involving several predictor variables?