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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1.Easy

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 =

2.Easy

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 =

3.Medium

The table gives 6 paired observations of x = advertising spend in k€ and y = sales in k€. Their sums are given. Find Pearson's correlation coefficient r from these sums.

n = 6Σx = 27Σy = 249Σx² = 139Σy² = 10575Σxy = 1185

r =

4.Medium

The table gives 6 paired observations of x = hours studied and y = exam score. Their sums are given. Find Pearson's correlation coefficient r from these sums.

n = 6Σx = 27Σy = 427Σx² = 139Σy² = 30719Σxy = 1995

r =

5.Hard

The table gives 5 paired observations of x = hours studied and y = exam score. Use the least-squares line ŷ = a + b·x. A new observation (8, 83) is made. Find its residual e = y − ŷ.

n = 5(8, 83)

e =

6.Hard

The table gives 5 paired observations of x = load in kN and y = extension in mm. Use the least-squares line ŷ = a + b·x. A new observation (3, 18) is made. Find its residual e = y − ŷ.

n = 5(3, 18)

e =

Answer key

1. b = 3.99
2. a = −2.4
3. r = 0.9922
4. r = 0.966
5. e = −2.9
6. e = 3.9

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