Statistics

These are real, released Algebra I Regents questions on data and statistics. For a single data set, you'll compare center and spread — mean, median, IQR, and standard deviation — and judge the effect of an outlier. For two related variables, you'll find the line of best fit (the linear regression equation) and the correlation coefficient rr, judge a fit's strength and direction, separate correlation from causation, and read a two-way frequency table.

For the show-your-work questions, do the calculation (or run your calculator's regression), then reveal the official NYSED rubric, a worked model solution, and any figure to score yourself. The multiple-choice items check the reasoning — what the spread tells you, what rr means, and whether a link is truly cause-and-effect.

Question 1 of 30

Linear regression & correlation

The table below shows the amount of money a popular movie earned, in millions of dollars, during its first six weeks in theaters. Write the linear regression equation for this data set, rounding all values to the nearest hundredth. State the correlation coefficient to the nearest hundredth, and state what it indicates about the linear fit of the data.
Week (x)123456
Dollars earned, in millions (y)1851509050255

Work it out on paper first — this is a show-your-work question. When you're done, reveal the rubric and model solution to score yourself.

Your score appears when you finish.

For teachers

Standard, common misconceptions, and suggested use will live here.