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AP Statistics Review Question 1

AP exam review for a question you may see on the AP Statistics exam

Next up, we cover another sample question which can be found from the list of subjects covered by Omninox: AP Statistics. Now this AP exam should not be taken lightly, as accroding to Total Registration, the past 2014 AP Statistics exam had a failure rate of 30.6%. In order to ensure your success, it is important that you practice practice practice! Let's take a look at an example of a typical AP question you may see below.

The least squares regression line is superimposed on five scatterplots below of a y response versus an x covariate. Which scatterplot shows a good fitting line to the data?

The answer to this problem is Figure [A]. Let's review why the other answers are not the best choices. Figures B and E are essentially the same figure, just flipped. They are not good fits because of the variability of the points above and below the line, so there is no steady trend present.

Figure C does not even come close to fitting the line because of all the points that are amassed to the left side of the graph, which indicates that the data is heavily trending to remain clustered. Figure D follows the general trend of the line however, the missing middle section of points indicate a not so linear fit.

This leaves Figure A, which has the best linear relationship among the points. This is true because the distance between each point and the line is the smallest with this graph. This is the best indication to tell which points have the most linear relationship. Measure the distance between the points and the best fit line. The one that has the most points with the shortest distances is the most linear.

Be sure to look at our other question review posts if you need the help. Other questions that you can look at for review include: AP Chemistry, AP Environmental Science, and AP US History. Well, what are you waiting for get to practicing!