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
xy1567187921822410127115xy15202580100120

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
xy339437544649752855xy4684050

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. Find the intercept a.

n = 6
a =
3.Medium
xy156318752180241072711630128xy15202530100

The table gives 6 paired observations of x = temperature in °C and y = ice creams sold. Find the coefficient of determination r² of the least-squares line.

n = 6
r² =
4.Medium
xy21041562082110281231xy510102030

The table gives 6 paired observations of x = load in kN and y = extension in mm. Their sums are given. Find Pearson's correlation coefficient r from these sums.

n = 6Σx = 42Σy = 125Σx² = 364Σy² = 2911Σxy = 1020
r =
5.Hard
xy1669188420992210824120xy2080100120ŷ = 90

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 = 90?

n = 5ŷ = 90
x =
6.Hard
xy347445553658758xy46455055ŷ = 54

The table gives 5 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 = 54?

n = 5ŷ = 54
x =

Answer key

  1. 1. a = 6.2
  2. 2. a = 25.57
  3. 3. r² = 0.97
  4. 4. r = 0.9894
  5. 5. x = 19.05
  6. 6. x = 5.514

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