WEBVTT
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Given the quadratic regression model π¦ is equal to three π₯ squared minus five π₯ plus two, calculate the value of π¦ when π₯ is equal to 2.7.
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Quadratic regression involves finding the best-fit equation for a set of data shaped like a parabola.
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In this question, weβre told that the equation is π¦ equals three π₯ squared minus five π₯ plus two.
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We need to calculate the value of π¦ when π₯ is equal to 2.7.
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We do this by substituting π₯ equals 2.7 into the equation.
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This gives us π¦ is equal to three multiplied by 2.7 squared minus five multiplied by 2.7 plus two.
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2.7 squared is equal to 7.29.
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Multiplying this by three gives us 21.87.
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Negative five multiplied by 2.7 is equal to negative 13.5.
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This means that the calculation simplifies to 21.87 minus 13.5 plus two.
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This gives us a final answer of 10.37.
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When π₯ is equal to 2.7, π¦ is equal to 10.37.