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 = hours studied and y = exam score. Use the least-squares line ŷ = a + b·x. Find the slope b.

n = 5

b =

3.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 = 42Σy = 428Σx² = 364Σy² = 32390Σxy = 3350

r =

4.Medium

The table gives 5 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 = 5Σx = 25Σy = 229Σx² = 165Σy² = 10887Σxy = 1267

r =

5.Hard

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. A new observation (5.5, 52) is made. Find its residual e = y − ŷ.

n = 6(5.5, 52)

e =

6.Hard

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. A new observation (6.5, 54) is made. Find its residual e = y − ŷ.

n = 5(6.5, 54)

e =

Answer key

1. b = 4.857
2. b = 5.75
3. r = 0.9812
4. r = 0.9659
5. e = −3.01
6. e = −3.85

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