The question was:
Use the following printout to answer the questions below.
1. What is the regression equation?
2. How can you tell that the slope is significantly different from zero?
3. How can you tell that the equation has a good fit, although far from perfect?
Answers:
1. The equation is Y = .8 + .4X, where X is HH Size and Y is ....? I don't see the Y variable named in the printout. I get .8 from the "intercept" line and .4 from the "HH Size" line. See the last two rows of the table.
2. The p-value for the slope is .040519, which is below the usual critical value of .05.
3. Look at the R square, which is 0.8. I usually say that an R square between .5 and .9 is a good fit, while an R square above .9 is a really good fit. That is a very loose rule of thumb. The break points for what constitutes a good fit are dependent on context.