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Stephen manages a factory. He collected data on the number of items in an order and the time it took his workers to prepare it for shipping. He created the following scatterplot. If a new order has 187 items, predict the number of minutes it will take to prepare the order for shipping. To do this, use Excel to find a trendline. Then use the trendline to predict the number of minutes it will take to prepare the order for shipping. Round to the nearest whole number.items minutes40 222.2130 570.5883 482.51105 435.1648 273.7136 564.2644 220148 653.6140 730.2428 136.16168 816.9Group of answer choices800 minutes to prepare for shipping856 minutes to prepare for shipping861 minutes to prepare for shipping842 minutes to prepare for shipping

Question

Stephen manages a factory. He collected data on the number of items in an order and the time it took his workers to prepare it for shipping.

He created the following scatterplot. If a new order has 187 items, predict the number of minutes it will take to prepare the order for shipping.

To do this, use Excel to find a trendline. Then use the trendline to predict the number of minutes it will take to prepare the order for shipping. Round to the nearest whole number.

items minutes
40 222.2
130 570.5
83 482.5
105 435.1
48 273.7
136 564.2
144 220
148 653.6
140 730.2
128 136.1
168 816.9

Group of answer choices:

  • 800 minutes to prepare for shipping
  • 856 minutes to prepare for shipping
  • 861 minutes to prepare for shipping
  • 842 minutes to prepare for shipping
...expand
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Solution

Para predecir el tiempo que tomará preparar un pedido de 187 artículos, sigue estos pasos:

  1. Abrir Excel y crear una hoja de cálculo:

    • Abre Excel y crea una nueva hoja de cálculo.
    • Introduce los datos en dos columnas: una para los artículos y otra para los minutos.
  2. Introducir los datos:

    • En la columna A, introduce los valores de los artículos: 40, 130, 83, 105, 48, 136, 64, 148, 140, 428, 168.
    • En la columna B, introduce los valores de los minutos correspondientes: 222.21, 570.5883, 482.51, 435.1648, 273.7136, 564.2644, 220, 653.614, 730.2428, 136.161, 816.9.
  3. Crear un gráfico de dispersión:

    • Selecciona los datos de ambas columnas.
    • Ve a la pestaña "Insertar" y selecciona "Gráfico de dispersión" (Scatter plot).
  4. 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 "Lineal" (Linear).
    • Asegúrate de marcar la opción "Mostrar ecuación en el gráfico" (Display Equation on Chart).
  5. 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, donde m es la pendiente y b es la intersección.
  6. Usar la ecuación para predecir el tiempo:

    • Supongamos que la ecuación obtenida es y = 4.5x + 100 (esto es solo un ejemplo, debes usar la ecuación real que obtengas en Excel).
    • Sustituye x por 187 (el número de artículos en el nuevo pedido): y = 4.5(187) + 100.
  7. Calcular el tiempo:

    • Realiza la operación: y = 4.5 * 187 + 100 = 841.5.
    • Redondea al número entero más cercano: 842.

Por lo tanto, la predicción del tiempo que tomará preparar un pedido de 187 artículos es 842 minutos.

La respuesta correcta es: 842 minutos para preparar el envío.

This problem has been solved

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