Question

The table contains data for five students: hours studied, x, and corresponding test scores, y. Use the regression calculator to make a scatterplot with a trend line.

A 2-column table with 5 rows. Column 1 is labeled x with entries 1, 2, 4, 7, 8. Column 2 is labeled y with entries 76, 81, 89, 87, 91.

Based on the trend line, what score would you expect after studying for 5 hours?
As the number of hours studying increases, the coressponding test score

Answer 1

The least-squares trend line is approximately
y = 77.06 + 1.76x.

For x = 5: y ≈ 77.06 + 1.76(5) ≈ 85.85, so you'd expect about 86 points.

As hours studied increase, the test score increases (positive association — about 1.76 points per additional hour).