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How would the trend equation y = 80 4x 1.6x^2 (with origin: 1978 scale: i unit of x-1 year) change if origin is shifted forward by 2 year the scale of x is changed to half-yearly units i.e., i unit of x-year =1/2 years? ANSWER= 47.2 2.6X 0.2X^2?
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How would the trend equation y = 80 4x 1.6x^2 (with origin: 1978 scale...
Solution:

Given: Trend equation y = 80 + 4x + 1.6x^2
Origin: 1978
Scale: 1 unit of x-1 year

To find: The new trend equation if the origin is shifted forward by 2 years and the scale of x is changed to half-yearly units

Step 1: Shifting the Origin
The given equation has an origin of 1978. If we shift the origin forward by 2 years, the new origin becomes 1980. To adjust the equation accordingly, we need to subtract 2 from x.

New equation: y = 80 + 4(x-2) + 1.6(x-2)^2

Simplifying the equation: y = 80 + 4x - 8 + 1.6(x^2 - 4x + 4)
y = 1.6x^2 + 2.6x + 47.2

Step 2: Changing the Scale of x
The given scale is 1 unit of x-1 year. If we change the scale to half-yearly units, 1 unit of x-year will be equal to 1/2 year.

To adjust the equation accordingly, we need to divide x by 2.

New equation: y = 1.6(x/2)^2 + 2.6(x/2) + 47.2

Simplifying the equation: y = 0.2x^2 + 1.3x + 47.2

Therefore, the new trend equation is y = 47.2 + 2.6x + 0.2x^2, where the origin is shifted forward by 2 years, and the scale of x is changed to half-yearly units.
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How would the trend equation y = 80 4x 1.6x^2 (with origin: 1978 scale: i unit of x-1 year) change if origin is shifted forward by 2 year the scale of x is changed to half-yearly units i.e., i unit of x-year =1/2 years? ANSWER= 47.2 2.6X 0.2X^2?
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How would the trend equation y = 80 4x 1.6x^2 (with origin: 1978 scale: i unit of x-1 year) change if origin is shifted forward by 2 year the scale of x is changed to half-yearly units i.e., i unit of x-year =1/2 years? ANSWER= 47.2 2.6X 0.2X^2? for B Com 2024 is part of B Com preparation. The Question and answers have been prepared according to the B Com exam syllabus. Information about How would the trend equation y = 80 4x 1.6x^2 (with origin: 1978 scale: i unit of x-1 year) change if origin is shifted forward by 2 year the scale of x is changed to half-yearly units i.e., i unit of x-year =1/2 years? ANSWER= 47.2 2.6X 0.2X^2? covers all topics & solutions for B Com 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for How would the trend equation y = 80 4x 1.6x^2 (with origin: 1978 scale: i unit of x-1 year) change if origin is shifted forward by 2 year the scale of x is changed to half-yearly units i.e., i unit of x-year =1/2 years? ANSWER= 47.2 2.6X 0.2X^2?.
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