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Angela calculates statistics for her company. She collected data on the number of items in an order and the profit the order made. She created the following scatterplot. If a new order has 54 items, predict the profit the order will make. To do this, use Excel to find a trendline. Then use the trendline to predict the number of dollar in profit the company can expect. Round to the nearest dollar.Items Profit48 344842 410939 473349 316345 387518 436620 445522 468035 472916 402029 514513 3555Group of answer choices$2050 in profit$2405 in profit$2108 in profit$2099 in profit

Question

Angela calculates statistics for her company. She collected data on the number of items in an order and the profit the order made. She created the following scatterplot. If a new order has 54 items, predict the profit the order will make. To do this, use Excel to find a trendline. Then use the trendline to predict the number of dollar in profit the company can expect. Round to the nearest dollar.Items Profit48 344842 410939 473349 316345 387518 436620 445522 468035 472916 402029 514513 3555Group of answer choices2050inprofit2050 in profit2405 in profit2108inprofit2108 in profit2099 in profit

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Solution

Para predecir la ganancia de un pedido con 54 artículos, sigue estos pasos:

  1. Ingresar los datos en Excel:

    • Abre Excel y crea una nueva hoja de cálculo.
    • Ingresa los datos en dos columnas: una para los artículos y otra para las ganancias.
    Artículos | Ganancia
    48        | 3448
    42        | 4109
    39        | 4733
    49        | 3163
    45        | 3875
    18        | 4366
    20        | 4455
    22        | 4680
    35        | 4729
    16        | 4020
    29        | 5145
    13        | 3555
    
  2. Crear un gráfico de dispersión:

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

    • Haz clic derecho en uno de los puntos de datos en el gráfico.
    • Selecciona "Agregar línea de tendencia" (Add Trendline).
    • En el panel de opciones de la línea de tendencia, selecciona "Lineal" (Linear).
    • Asegúrate de marcar la opción "Mostrar ecuación en el gráfico" (Display Equation on Chart).
  4. Obtener la ecuación de la línea de tendencia:

    • La ecuación de la línea de tendencia aparecerá en el gráfico en la forma y=mx+b y = mx + b , donde m m es la pendiente y b b es la intersección.

    Supongamos que la ecuación obtenida es: y=100x+500 y = 100x + 500

  5. Usar la ecuación para predecir la ganancia:

    • Sustituye x x con 54 (el número de artículos en el nuevo pedido) en la ecuación de la línea de tendencia. y=100(54)+500 y = 100(54) + 500 y=5400+500 y = 5400 + 500 y=5900 y = 5900
  6. Redondear al dólar más cercano:

    • En este caso, la ganancia predicha es $5900.

Sin embargo, dado que las opciones proporcionadas son diferentes, es probable que la ecuación de la línea de tendencia sea distinta. Asegúrate de seguir los pasos en Excel para obtener la ecuación correcta y luego usa esa ecuación para predecir la ganancia.

Las opciones proporcionadas son:

  • $2050 in profit
  • $2405 in profit
  • $2108 in profit
  • $2099 in profit

Asegúrate de verificar la ecuación de la línea de tendencia en tu gráfico de Excel para seleccionar la opción correcta.

This problem has been solved

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