the graph to the right shows what you should have gotten on the regression calculator. check all statements…

the graph to the right shows what you should have gotten on the regression calculator. check all statements below that accurately describe the regression equation. some points do not lie on the regression curve, so it is not a good model. most points lie on or near the regression curve, so it is a good model. the equation can be used to analyze the population growth, and to estimate values outside of what was collected. done

the graph to the right shows what you should have gotten on the regression calculator. check all statements below that accurately describe the regression equation. some points do not lie on the regression curve, so it is not a good model. most points lie on or near the regression curve, so it is a good model. the equation can be used to analyze the population growth, and to estimate values outside of what was collected. done

Answer

Brief Explanations:

  1. In regression analysis, a model doesn't need all points to lie on the curve for it to be good. A high - correlation coefficient (here $r\approx0.996$) indicates a strong fit. So, the statement "Some points do not lie on the regression curve, so it is not a good model" is false.
  2. With a high correlation coefficient and most points lying on or near the curve, it is a good model.
  3. An exponential regression equation like $y\approx3.915(1.106)^x$ can be used for population - growth analysis and for extrapolation (estimating values outside the collected data range).

Answer:

Most points lie on or near the regression curve, so it is a good model. The equation can be used to analyze the population growth, and to estimate values outside of what was collected.