# Video: Calculating a Predicted Value Using a Quadratic Regression Model

Given the quadratic regression model 𝑦 = 3𝑥𝑦² − 5𝑥 + 2, calculate the value of 𝑦 when 𝑥 is equal to 2.7.

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### Video Transcript

Given the quadratic regression model 𝑦 is equal to three 𝑥 squared minus five 𝑥 plus two, calculate the value of 𝑦 when 𝑥 is equal to 2.7.

Quadratic regression involves finding the best-fit equation for a set of data shaped like a parabola. In this question, we’re told that the equation is 𝑦 equals three 𝑥 squared minus five 𝑥 plus two. We need to calculate the value of 𝑦 when 𝑥 is equal to 2.7. We do this by substituting 𝑥 equals 2.7 into the equation. This gives us 𝑦 is equal to three multiplied by 2.7 squared minus five multiplied by 2.7 plus two.

2.7 squared is equal to 7.29. Multiplying this by three gives us 21.87. Negative five multiplied by 2.7 is equal to negative 13.5. This means that the calculation simplifies to 21.87 minus 13.5 plus two. This gives us a final answer of 10.37.

When 𝑥 is equal to 2.7, 𝑦 is equal to 10.37.