Study Time vs Test Score Analysis

Pre-Algebra · Axiom Academy

EXAMPLE Study Time vs Test Score Analysis Build a scatter plot from real data, name the correlation, and fit a line to make a prediction. Seven students recorded how many hours they studied and the score they earned on a test. Plot the data, decide what kind of relationship it shows, and use a line of best fit to predict the score of a student who studies for 8 hours. Nice work — you turned a table of numbers into a scatter plot, read its trend, and used a line to make a prediction. Here is what carried the example: Each row is a point: a scatter plot pairs two variables, plotting (study time, test score) so a pattern between them becomes visible. Three kinds of correlation: positive (both rise together), negative (one rises as the other falls), and none (no clear pattern). Line of best fit: the straight line closest to all the points summarizes the trend — here about y = 4.4x + 61 . Predicting: reading the line at 8 hours gives about , extending the trend beyond the data. Remember: a correlation flags a relationship worth investigating, but it does not by itself prove that one variable causes the other.

This is the written version of the interactive lesson above. See the full Pre-Algebra course.