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
xy129223321418518616xy24615202530

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 intercept a.

n = 6
a =
2.Easy
xy154317511955215523642570xy152025506070

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
xy121223318417517xy24182022

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 = 96Σx² = 55Σy² = 1872Σxy = 274
r =
4.Medium
xy126224322419520618xy2462025

The table gives 6 paired observations of x = car age in years and y = price in k€. Find Pearson's correlation coefficient r.

n = 6
r =
5.Hard
xy33554275095511531357xy5104050ŷ = 40

The table gives 6 paired observations of x = advertising spend in k€ and y = sales in k€. Use the least-squares line ŷ = a + b·x. For which value x does the line predict ŷ = 40?

n = 6ŷ = 40
x =
6.Hard
xy186820682288248626102xy202580100x = 23

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. A new observation (23, 82) is made. Find its residual e = y − ŷ.

n = 5(23, 82)
e =

Answer key

  1. 1. a = 29.13
  2. 2. b = 2.486
  3. 3. r = −0.825
  4. 4. r = −0.9538
  5. 5. x = 3.901
  6. 6. e = −4.7

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