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
xy16741997221112513728149xy2025100150

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. Find the intercept a.

n = 5
a =
2.Easy
xy12221931941551169xy246101520

The table gives 6 paired observations of x = car age in years and y = price in k€. Use the least-squares line ŷ = a + b·x. Find the slope b.

n = 6
b =
3.Medium
xy124217318415510xy2410152025

The table gives 5 paired observations of x = car age in years and y = price in k€. Find the coefficient of determination r² of the least-squares line.

n = 5
r² =
4.Medium
xy129227322420520xy24202530

The table gives 5 paired observations of x = car age in years and y = price in k€. Their sums are given. Find Pearson's correlation coefficient r from these sums.

n = 5Σx = 15Σy = 118Σx² = 55Σy² = 2854Σxy = 329
r =
5.Hard
xy2741562182910371242xy5102040x = 5

The table gives 6 paired observations of x = load in kN and y = extension in mm. Use the least-squares line ŷ = a + b·x. A new observation (5, 20) is made. Find its residual e = y − ŷ.

n = 6(5, 20)
e =
6.Hard
xy3635707779831189xy510708090ŷ = 67

The table gives 5 paired observations of x = hours studied and y = exam score. Use the least-squares line ŷ = a + b·x. For which value x does the line predict ŷ = 67?

n = 5ŷ = 67
x =

Answer key

  1. 1. a = −25.73
  2. 2. b = −2.657
  3. 3. r² = 0.8755
  4. 4. r = −0.9504
  5. 5. e = 1.948
  6. 6. x = 4.108

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