Lesson 2e.04

2e.04 Determine line of best fit by eye, by drawing through a calculated double mean point... Quiz: Pearson Edexcel Statistics, Unit 2

20 questions

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Lesson 2e.04, Determine line of best fit by eye, by drawing through a calculated double mean point...: 20 multiple choice questions for the Pearson Edexcel GCSE Statistics (1ST0), Unit 2: Processing, representing and analysing data, written with Revision Ninja.

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The 20 questions

  1. Through which specific coordinate must a hand-drawn line of best fit pass?

    • Maximum data point
    • Median coordinate
    • Double mean point
    • Origin zero zero
  2. The x values are 2, 4 and 6, and the y values are 5, 7 and 9. What is the mean point?

    • (6, 9)
    • (2, 5)
    • (4, 7)
    • (7, 4)
  3. A regression line is y = 3 + 2x. What are its gradient and intercept?

    • Gradient 2, intercept 3
    • Gradient 5, intercept 0
    • Gradient 2, intercept 0
    • Gradient 3, intercept 2
  4. Using y = 3 + 2x, what is the predicted y when x = 10?

    • 23
    • 20
    • 16
    • 32
  5. If a regression line has a gradient of -4, what happens as x increases by 1?

    • y remains constant
    • y decreases by 4
    • y decreases by 0.25
    • y increases by 4
  6. In the linear model y = 12 + 0.5x, what does the value 12 represent?

    • Double mean
    • y-intercept
    • Mean of x
    • Gradient
  7. What visual balance is required when drawing a line of best fit by eye?

    • Staring at origin
    • Passing all points
    • Balanced points
    • Horizontal slope
  8. What is the assessment status of non-linear models in GCSE Statistics?

    • Not tested
    • Higher tier only
    • Foundation only
    • Always tested
  9. What is the primary risk of extrapolating a regression line too far?

    • Increased gradient
    • Exact interpolation
    • Unreliable predictions
    • Calculus errors
  10. Given y = 5 - 0.5x, what is y when x = 6?

    • 2
    • 5
    • 8
    • -2
  11. The mean x is 10 and the mean y is 40. Through which point must the line of best fit pass?

    • (40, 10)
    • (0, 0)
    • (10, 40)
    • (10, 0)
  12. A line is y = 1.2x - 7. What is y when x = 0?

    • -7
    • 7
    • 1.2
    • 0
  13. A scatter has mean point (4, 10) and gradient 2 through that point. What is the intercept a in y = a + 2x?

    • 10
    • 8
    • 2
    • -2
  14. A line has gradient 2.5 units of y per unit of x. Over an increase of 4 in x, by how much does y change?

    • 6.5
    • 2.5
    • 1.6
    • 10
  15. What point must a line of best fit drawn by eye always pass through?

    • The highest point
    • Double mean point
    • The origin
    • The median point
  16. The line y = 20 - 3x is given. What is x when y = 5?

    • 3
    • 15
    • 5
    • 8.33
  17. A line passes through (2, 8) and (6, 16). Which is its equation?

    • y = 8 + 2x
    • y = 2x
    • y = 2 + 4x
    • y = 4 + 2x
  18. Using y = 3.2 + 0.8x, what is the predicted y when x = 15?

    • 18.0
    • 12.0
    • 3.2
    • 15.2
  19. A regression line with slope 1.5 passes through the mean point (5, 12). What is its equation?

    • y = 4.5 + 1.5x
    • y = 1.5 + 12x
    • y = 5 + 1.5x
    • y = 12 + 1.5x
  20. A line of best fit shows y falling as x rises. What is the sign of its gradient?

    • Positive
    • Undefined
    • Zero
    • Negative

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