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
xy17882092231122613129146xy202530100120140

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
xy12321931841251068xy246101520

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
xy17611966216923722590xy202560708090

The table gives 5 paired observations of x = temperature in °C and y = ice creams sold. Find Pearson's correlation coefficient r.

n = 5
r =
4.Medium
xy12222031841651467xy246101520

The table gives 6 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 = 6Σx = 21Σy = 97Σx² = 91Σy² = 1709Σxy = 292
r =
5.Hard
xy143116441850205622652468xy1520254060x = 23

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. A new observation (23, 62) is made. Find its residual e = y − ŷ.

n = 6(23, 62)
e =
6.Hard
xy125222323421521618xy2462025ŷ = 24

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. For which value x does the line predict ŷ = 24?

n = 6ŷ = 24
x =

Answer key

  1. 1. a = −5.033
  2. 2. b = −3.086
  3. 3. r = 0.915
  4. 4. r = −0.9568
  5. 5. e = −4.848
  6. 6. x = 1.458

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