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The following data has a quadratic relationship. Copy and paste the data into Excel. Use Excel to find the equation of the quadratic trendline. Remember a quadratic trendline is called polynomial with order 2 in excel.x y1 3025 92611 10229 110213 8309 110215 52613 8307 10703 670Group of answer choices𝑦=−14𝑥2+240𝑥+76𝑦=427.04𝑥0.3165𝑦=15.294𝑥+706.47𝑦=602.53𝑒0.0309𝑥

Question

The following data has a quadratic relationship. Copy and paste the data into Excel. Use Excel to find the equation of the quadratic trendline. Remember a quadratic trendline is called polynomial with order 2 in excel.x y1 3025 92611 10229 110213 8309 110215 52613 8307 10703 670Group of answer choices𝑦=−14𝑥2+240𝑥+76𝑦=427.04𝑥0.3165𝑦=15.294𝑥+706.47𝑦=602.53𝑒0.0309𝑥

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Solution

Claro, aquí tienes los pasos para encontrar la ecuación de la línea de tendencia cuadrática usando Excel:

  1. Copiar y pegar los datos en Excel:

    • Abre Excel y copia los datos proporcionados en dos columnas, una para x y otra para y.
    x      y
    1      3025
    2      92611
    3      10229
    4      110213
    5      8309
    6      110215
    7      52613
    8      8307
    9      10703
    10     670
    
  2. Insertar un gráfico de dispersión:

    • Selecciona los datos.
    • Ve a la pestaña "Insertar" y elige "Gráfico de dispersión" (Scatter plot).
  3. Agregar una línea de tendencia:

    • Haz clic derecho en uno de los puntos de datos en el gráfico y selecciona "Agregar línea de tendencia" (Add Trendline).
    • En el panel de opciones de la línea de tendencia, selecciona "Polinómica" (Polynomial) y establece el "Orden" en 2.
  4. Mostrar la ecuación en el gráfico:

    • Asegúrate de marcar la opción "Mostrar ecuación en el gráfico" (Display Equation on chart).
  5. Obtener la ecuación:

    • La ecuación de la línea de tendencia cuadrática aparecerá en el gráfico.

Siguiendo estos pasos, Excel te proporcionará la ecuación de la línea de tendencia cuadrática. Según los datos y las opciones proporcionadas, la ecuación correcta es:

y=14x2+240x+76 y = -14x^2 + 240x + 76

Por lo tanto, la respuesta correcta es:

y=14x2+240x+76 y = -14x^2 + 240x + 76

This problem has been solved

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