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Time Series & Trend · Question 66 of 68

Question 66

HardOriginal question

A straight-line trend, with xx in years from 2022, gives trend values 50 for 2020 and 66 for 2024. What is its equation?

Options for question 66

Show the answer and explanation
CorrectNot quiteAnswer D

Correct answer: D

Explanation

  1. At 2020, x=−2x = -2: a−2b=50a - 2b = 50. At 2024, x=2x = 2: a+2b=66a + 2b = 66.

  2. Adding: a=58a = 58; subtracting: 4b=164b = 16, so b=4b = 4.

Worth noting

y=50+4xy = 50 + 4x puts the 2020 value at x=0x = 0, but the origin is 2022.

Concept
A trend line from two trend values
Typical time
120 s
Your time
—
The rule this testsA straight-line trend by least squares
Practise this chapter →

Ten questions from Time Series & Trend, at your own pace.

Practise this chapter →

Ten questions from Time Series & Trend, at your own pace.