Workers at a warehouse of consumer goods gather items from the warehouse to fill customer orders. The number of items in a sample of orders and the time, in minutes, it took the workers to gather the items were recorded. A scatterplot of the recorded data showed a curved pattern, and the square root of the number of items was taken to create a linear pattern. The following table shows computer output from the least-squares regression analysis created to predict the time it takes to gather items from the number of items in an order.

Based on the regression output, which of the following is the predicted time, in minutes, that it took to gather the items if the order has 22 items?

Workers at a warehouse of consumer goods gather items from the warehouse to fill customer orders The number of items in a sample of orders and the time in minut class=

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The regression output, shows that the predicted time that it took to gather the items if the order has 22 items is B. 16.06.

How to calculate the time taken?

The fitted regression line is given as y = 3.0979 + 2.7633x

R² is also given as 96.7%.

Number of orders = 22

Therefore, the required prediction time will be:

y = 3.0979 + 2.7633x

y = 3.0979 + 2.7633(✓22)

y = 16.06

In conclusion the time is 16.06 minutes.

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