Linear Regression – Hard (AS Level)

Last updated: 24/08/2020

A-Level Maths Probability Linear Regression – Hard (AS Level)

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Question 1 of 25

1. Question
Estimate the equation of the line of best fit for gcse exam result and mock exam result to 1DP. Data: (10, 15) (20, 10) (40, 40) (25, 25) (55, 40) (50, 40) (60, 50) (80, 65) (85, 65) (80, 70)
- y = 0.8x + 3.2
- y = 0.8x + 3.6
- y = 1.0x + 4.1
- y = 0.6x + 2.6
Correct

Incorrect
Question 2 of 25

2. Question
Estimate the equation of the line of best fit for weekly exercise and weight of a student to 1DP. Data: (51.5, 10) (51, 6.5) (54, 7.5) (55, 6) (54.5, 6) (54, 5.5) (57.5, 3) (56.5, 3.5) (56.5, 3) (58, 2.5)
- y = -0.9x + 53.8
- y = -1.0x + 59.2
- y = -0.7x + 43.1
- y = -0.8x + 48.9
Correct

Incorrect
Question 3 of 25

3. Question
Estimate the equation of the line of best fit for weekly exercise and weight of a student to 1DP. Data: (54, 8) (53, 7) (53, 6) (55, 6) (59, 5) (64, 5) (59, 3.5) (62, 4) (63, 2) (67, 0)
- y = -0.4x + 28.6
- y = -0.4x + 31.5
- y = -0.5x + 35.8
- y = -0.4x + 26.0
Correct

Incorrect
Question 4 of 25

4. Question
Estimate the equation of the line of best fit for temperature and daily electricity used to 1DP. Data: (2.5, 24) (2, 22) (4.5, 25) (5, 20) (4, 20) (5, 17) (6, 15) (7.5, 18) (6.5, 13) (8.5, 11)
- y = -1.8x + 27.7
- y = -1.4x + 22.2
- y = -2.0x + 30.5
- y = -2.2x + 34.7
Correct

Incorrect
Question 5 of 25

5. Question
Estimate the equation of the line of best fit for gcse exam result and mock exam result to 1DP. Data: (25, 7.5) (25, 15) (25, 17.5) (40, 12.5) (50, 22.5) (60, 30) (55, 30) (75, 30) (75, 40) (85, 37.5)
- y = 0.4x + 1.4
- y = 0.5x + 1.5
- y = 0.4x + 1.2
- y = 0.4x + 1.1
Correct

Incorrect
Question 6 of 25

6. Question
Estimate the equation of the line of best fit for temperature and daily electricity used to 1DP. Data: (1.5, 24) (2, 23) (2, 22) (3.5, 20) (5, 21) (4, 19) (5.5, 20) (7.5, 16) (7.5, 14) (7, 14)
- y = -1.4x + 25.7
- y = -1.8x + 32.2
- y = -1.1x + 20.6
- y = -1.6x + 28.3
Correct

Incorrect
Question 7 of 25

7. Question
Estimate the equation of the line of best fit for maths test result and English test result to 1DP. Data: (5, 0) (30, 35) (15, 15) (25, 30) (55, 30) (55, 55) (50, 45) (65, 65) (70, 70) (80, 70)
- y = 0.9x + 1.3
- y = 0.7x + 1.1
- y = 1.1x + 1.7
- y = 0.8x + 1.2
Correct

Incorrect
Question 8 of 25

8. Question
Estimate the equation of the line of best fit for temperature and daily electricity used to 1DP. Data: (2, 18.5) (6, 16.5) (5, 15.5) (7, 15.5) (6, 15.5) (12, 13.5) (10, 13.5) (11, 13) (16, 11) (15, 11)
- y = -0.5x + 19.0
- y = -0.6x + 20.9
- y = -0.4x + 15.2
- y = -0.5x + 17.2
Correct

Incorrect
Question 9 of 25

9. Question
Estimate the equation of the line of best fit for rainfall and ice cream sales to 1DP. Data: (3, 7) (4, 7.5) (8, 7) (10, 4.5) (11, 6) (12, 5) (10, 4.5) (16, 1.5) (12, 2) (15, 1.5)
- y = -0.5x + 9.5
- y = -0.4x + 7.6
- y = -0.4x + 8.6
- y = -0.6x + 11.9
Correct

Incorrect
Question 10 of 25

10. Question
Estimate the equation of the line of best fit for price of the car and age of the car to 1DP. Data: (0.5, 14) (1, 17) (1.5, 14) (3.5, 14) (5.5, 10) (6, 8) (5.5, 10) (8.5, 4) (6, 3) (8.5, 5)
- y = -1.5x + 16.8
- y = -1.9x + 21.0
- y = -1.2x + 13.5
- y = -1.6x + 18.5
Correct

Incorrect
Question 11 of 25

11. Question
Estimate the equation of the line of best fit for height of a student and weight of a student to 1DP. Data: (44, 144) (45, 145) (47, 144) (49, 145) (51, 148) (49, 150) (52, 149) (54, 154) (53, 154) (54, 160)
- y = 1.2x + 87.2
- y = 1.0x + 69.8
- y = 1.4x + 95.9
- y = 1.6x + 109.0
Correct

Incorrect
Question 12 of 25

12. Question
Estimate the equation of the line of best fit for gcse exam result and mock exam result to 1DP. Data: (10, 15) (15, 17.5) (35, 15) (45, 20) (50, 20) (60, 30) (55, 32.5) (75, 30) (80, 35) (75, 37.5)
- y = 0.3x + 9.7
- y = 0.3x + 8.8
- y = 0.3x + 10.7
- y = 0.4x + 12.1
Correct

Incorrect
Question 13 of 25

13. Question
Estimate the equation of the line of best fit for temperature and ice cream sales to 1DP. Data: (2, 10) (2, 13.5) (9, 13) (5, 14.5) (9, 15) (10, 14) (9, 16) (14, 17.5) (17, 18.5) (18, 19)
- y = 0.4x + 11.0
- y = 0.5x + 13.7
- y = 0.3x + 8.8
- y = 0.5x + 12.1
Correct

Incorrect
Question 14 of 25

14. Question
Estimate the equation of the line of best fit for rainfall and ice cream sales to 1DP. Data: (5, 9.5) (7, 7) (3, 7) (7, 6.5) (6, 5) (11, 5.5) (14, 4.5) (11, 4.5) (15, 2) (18, 1.5)
- y = -0.4x + 9.4
- y = -0.5x + 11.8
- y = -0.4x + 8.6
- y = -0.3x + 7.5
Correct

Incorrect
Question 15 of 25

15. Question
Estimate the equation of the line of best fit for rainfall and umbrella sales to 1DP. Data: (3, 0.5) (6, 1) (8, 3.5) (10, 4.5) (7, 4) (12, 5) (9, 5.5) (12, 7) (15, 7.5) (19, 8)
- y = 0.5x – 0.4
- y = 0.4x – 0.3
- y = 0.6x – 0.5
- y = 0.5x – 0.4
Correct

Incorrect
Question 16 of 25

16. Question
Estimate the equation of the line of best fit for temperature and ice cream sales to 1DP. Data: (3, 11) (5, 14) (5, 18) (9, 17) (7, 16) (11, 22) (14, 22) (12, 21) (17, 26) (14, 28)
- y = 1.0x + 9.4
- y = 1.1x + 10.3
- y = 1.3x + 11.7
- y = 0.8x + 7.5
Correct

Incorrect
Question 17 of 25

17. Question
Estimate the equation of the line of best fit for temperature and ice cream sales to 1DP. Data: (0, 10) (3.5, 12) (2.5, 14) (2.5, 15) (4, 17) (4.5, 22) (7, 24) (6, 26) (7, 22) (8, 29)
- y = 2.3x + 8.6
- y = 2.6x + 9.4
- y = 2.9x + 10.7
- y = 1.9x + 6.9
Correct

Incorrect
Question 18 of 25

18. Question
Estimate the equation of the line of best fit for weekly exercise and weight of a student to 1DP. Data: (54, 4) (52, 3) (56, 2.75) (55, 2.25) (58, 3) (59, 1.5) (59, 1.5) (65, 1.75) (62, 1.25) (66, 0.75)
- y = -0.2x + 12.2
- y = -0.2x + 11.1
- y = -0.1x + 9.8
- y = -0.2x + 15.3
Correct

Incorrect
Question 19 of 25

19. Question
Estimate the equation of the line of best fit for maths test result and English test result to 1DP. Data: (0, 7.5) (20, 5) (35, 10) (35, 15) (30, 27.5) (65, 22.5) (45, 27.5) (60, 27.5) (85, 37.5) (85, 42.5)
- y = 0.4x + 4.1
- y = 0.4x + 4.5
- y = 0.5x + 5.2
- y = 0.3x + 3.3
Correct

Incorrect
Question 20 of 25

20. Question
Estimate the equation of the line of best fit for height of a student and weight of a student to 1DP. Data: (45, 148) (45, 152) (44, 148) (46, 152) (49, 154) (50, 162) (55, 162) (56, 174) (57, 172) (56, 172)
- y = 1.9x + 66.1
- y = 2.3x + 82.6
- y = 1.5x + 52.9
- y = 2.0x + 72.7
Correct

Incorrect
Question 21 of 25

21. Question
Estimate the equation of the line of best fit for rainfall and ice cream sales to 1DP. Data: (3, 7.5) (2, 7.5) (8, 6) (5, 7.5) (6, 6) (11, 3.5) (15, 3.5) (15, 3) (12, 3.5) (16, 0.5)
- y = -0.4x + 8.9
- y = -0.3x + 7.1
- y = -0.4x + 8.1
- y = -0.5x + 9.8
Correct

Incorrect
Question 22 of 25

22. Question
Estimate the equation of the line of best fit for price of the car and age of the car to 1DP. Data: (0.5, 7) (1.5, 6.5) (1.5, 6.5) (4, 5.5) (5.5, 5) (6.5, 3) (5.5, 4.5) (6.5, 2.5) (6, 1.5) (7.5, 0)
- y = -0.8x + 8.0
- y = -0.7x + 6.4
- y = -0.8x + 7.3
- y = -1.1x + 10.0
Correct

Incorrect
Question 23 of 25

23. Question
Estimate the equation of the line of best fit for rainfall and umbrella sales to 1DP. Data: (2, 0) (16, 2) (16, 1) (18, 2.25) (16, 1.5) (16, 3.25) (20, 2.75) (32, 3.5) (26, 3.75) (32, 4.5)
- y = 0.1x – 0.2
- y = 0.1x – 0.2
- y = 0.1x – 0.2
- y = 0.2x – 0.3
Correct

Incorrect
Question 24 of 25

24. Question
Estimate the equation of the line of best fit for rainfall and ice cream sales to 1DP. Data: (5, 3.5) (7, 4.25) (3, 3.75) (10, 2.25) (8, 2.25) (13, 2.5) (10, 1.25) (15, 2.25) (15, 1) (15, 0)
- y = -0.2x + 4.6
- y = -0.3x + 5.8
- y = -0.2x + 4.2
- y = -0.3x + 5.1
Correct

Incorrect
Question 25 of 25

25. Question
Estimate the equation of the line of best fit for maths test result and absences per week to 1DP. Data: (0, 90) (0.375, 60) (0.375, 55) (1.125, 45) (1.25, 40) (1.125, 35) (1.125, 30) (1.375, 15) (2, 10) (2.375, 15)
- y = -30.5x + 73.4
- y = -24.4x + 58.8
- y = -27.7x + 66.8
- y = -38.1x + 91.8
Correct

Incorrect