The trend line with 1975 as origin is Y=20.6+1.68X, the trend line with 1971…

2021

The trend line with 1975 as origin is Y=20.6+1.68X, the trend line with 1971 as origin will be –

  1. A.

    Y = 20.6 + 6.72X

  2. B.

    Y = 13.88 + 1.68X

  3. C.

    Y = 34.61 + 1.68X

  4. D.

    Y = 26.32 + 6.72X

Attempted by 16 students.

Show answer & explanation

Correct answer: B

To shift the origin from 1975 to 1971, subtract 4 years. Replace X with (X - 4) in the original equation Y = 20.6 + 1.68X. This gives Y = 20.6 + 1.68(X - 4) = 20.6 + 1.68X - 6.72. Simplifying yields Y = 13.88 + 1.68X.

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