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The equation of the parabolic trend is - Y = 46.6 + 2.4 X - 1.3 X² If the origin is shifted backward by…

When the origin is shifted backward by 3 years, the new time variable is related by replacing \(X\) with \((X - 3)\) in \(Y = 46.6 + 2.4X - 1.3X^2\): \(Y = 46.6 + 2.4(X - 3)…

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The equation of the parabolic trend is -
Y = 46.6 + 2.4 X - 1.3 X²
If the origin is shifted backward by three years, the equation of the parabolic trend will be -

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Correct answer B

When the origin is shifted backward by 3 years, the new time variable is related by replacing XX with (X−3)(X - 3) in Y=46.6+2.4X−1.3X2Y = 46.6 + 2.4X - 1.3X^2: Y=46.6+2.4(X−3)−1.3(X−3)2=46.6+2.4X−7.2−1.3(X2−6X+9)=27.7+10.2X−1.3X2Y = 46.6 + 2.4(X - 3) - 1.3(X - 3)^2 = 46.6 + 2.4X - 7.2 - 1.3(X^2 - 6X + 9) = 27.7 + 10.2X - 1.3X^2.

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