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.

New worksheet Practise online with hints

For teachers: free to print, copy and use in class. Every new worksheet has new values and its own answer key. A link to ExamProblems on your course page is appreciated.

Name: ____________________ Date: ____________

1.Easy

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 =

2.Easy

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. Find the slope b.

n = 5

b =

3.Medium

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

n = 5Σx = 95Σy = 411Σx² = 1845Σy² = 34607Σxy = 7987

r =

4.Medium

The table gives 5 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 = 5Σx = 30Σy = 53Σx² = 220Σy² = 647Σxy = 376

r =

5.Hard

The table gives 5 paired observations of x = car age in years and y = price in k€. Use the least-squares line ŷ = a + b·x. A new observation (2.5, 22) is made. Find its residual e = y − ŷ.

n = 5(2.5, 22)

e =

6.Hard

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. A new observation (1.5, 20) is made. Find its residual e = y − ŷ.

n = 6(1.5, 20)

e =

Answer key

1. b = −2.2
2. b = 2.7
3. r = 0.9812
4. r = 0.9935
5. e = −1.95
6. e = −1.586

Full step-by-step solutions: practise this topic on examproblems.com.