Linear regression & correlation worksheet with answers

Free printable Linear regression & correlation worksheet: 6 problems from easy to exam level, with an answer key. Print it or save it as a PDF.

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Name: ____________________   Date: ____________

1.Easy
xy25547168188710104xy5106080100

The table gives 5 paired observations of x = hours studied and y = exam score. Use the least-squares line ŷ = a + b·x. Find the intercept a.

n = 5
a =
2.Easy
xy177619972198231182513027137xy202580100120140

The table gives 6 paired observations of x = temperature in °C and y = ice creams sold. Use the least-squares line ŷ = a + b·x. Find the slope b.

n = 6
b =
3.Medium
xy148367579785999xy56080100

The table gives 5 paired observations of x = hours studied and y = exam score. Their sums are given. Find Pearson's correlation coefficient r from these sums.

n = 5Σx = 25Σy = 378Σx² = 165Σy² = 30060Σxy = 2130
r =
4.Medium
xy3395417439501148xy510404550

The table gives 5 paired observations of x = advertising spend in k€ and y = sales in k€. Find the coefficient of determination r² of the least-squares line.

n = 5
r² =
5.Hard
xy361465565663767872xy4686570x = 7.5

The table gives 6 paired observations of x = hours studied and y = exam score. Use the least-squares line ŷ = a + b·x. Predict ŷ for x = 7.5.

n = 6x = 7.5
ŷ =
6.Hard
xy1468167518932010322109xy152080100ŷ = 95

The table gives 5 paired observations of x = temperature in °C and y = ice creams sold. Use the least-squares line ŷ = a + b·x. For which value x does the line predict ŷ = 95?

n = 5ŷ = 95
x =

Answer key

  1. 1. a = 45.4
  2. 2. b = 6.057
  3. 3. r = 0.9853
  4. 4. r² = 0.8399
  5. 5. ŷ = 68.87
  6. 6. x = 18.98

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