Exercises for Question Type 2: Calculating the linear relationship between the data in the form y=ax+b - IB

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Exercises for Question Type 2: Calculating the linear relationship between the data in the form y=ax+b - IB

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Question 1

Find the equation of the line passing through (0, 0) and (5, 10), giving your answer in the form y = m x + c .

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Question 2

Using the method of least squares, determine the regression line y = a x + b for the following data: (- 1, 0), (0, 1), (1, 1.8), (2, 2.3), (3, 3) .

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Question 3

Coordinate Geometry

Show that the points (0, 3), (3, 9), and (6, 15) lie on a line and determine its equation in the form y = a x + b .

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Question 4

Find the linear relation y = a x + b that fits the points (- 1, - 2), (0, 1), and (1, 4) exactly.

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Question 5

Write the equation of the line y = a x + b passing through (- 1, 2) and (3, 14) . [3 marks]

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Question 6

Determine the equation of the line passing through the points (2, 4), (4, 10), and (6, 16) . Express your answer in the form y = a x + b .

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Question 7

Find, using the method of least squares, the equation of the line of best fit y = a x + b for the data points (1, 2), (2, 5), (3, 7), and (4, 10) .

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Question 8

Find the least-squares regression line y = a x + b for the data (1, 2), (2, 3), (3, 5), (4, 4) .

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Question 9

Given the points (1, 2), (2, 5), and (3, 8), show that they lie on a line y = a x + b and find its equation.

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Question 10

The question asks for the determination of a least squares regression line using provided data points. Calculations for sums, slope, and intercept must be shown.

Determine the regression line y = a x + b for the data points (0, 1), (1, 2), (2, 1.5), (3, 3.5) by the method of least squares.

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Question 11

Find the equation of the line y = a x + b passing through the points (1, 3) and (4, 11) .

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Question 12

Determine the equation of the straight line y = a x + b passing through the points (- 2, 5) and (2, - 1) .

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