Linear models of bivariate data

The topic of  is under the Probability and statistics Math Mission. This exercise plays with regression lines and their ability to predict trends.

Types of Problems
There are two types of problems in this exercise:


 * 1) Analyze reasoning: This problem describes a situation where a scatterplot and regressions line were found and used to make a prediction. The student is asked to analyze the situation and decide if a valid conclusion was drawn, or why an error was made.Linemod1.png
 * 2) Use line to predict: This problem displays a scatterplot and the student is asked to use the plot to answer a question assuming the relationship in the plot is linear and continues.Linemod2.png

Strategies
This exercise is medium to get accuracy badges. Research was getting them correct but because it is easy to imagine that the tolerances might be too tight when estimating lines. If the process has reasonable tolerance, than the speed badges should be easy because the same reasons recycle for the some questions.
 * 1) The answer for Analyze reasoning will either be: trend is not linear, line does not fit, wrong point was used, extrapolated too far, or prediction is correct.
 * 2) Estimation close to integers or nicely rounded numbers worked well on about ten problems in a row, so you might not need to be super duper precise in your estimates and predictions.