Question

LC Motor Sales conducted a survey to find out why people who bought cars at the dealership did not use it for ongoing service. The following responses were collected. The marketing director for LC Motor Sales predicted that the number of customers who felt the location was not convenient would be 25. Determine the relative error. ( Hint : Find the absolute error first.)

moved away = 42 responses
dislike the quality of service at LC Motors = 23 responses
service charges are too high at LC Motors = 102 responses
the service department is too crowded = 124 responses
the location is not convenient = 17 responses
other reasons = 26 responses

Answer 1

The absolute error in the prediction is 8, and the relative error is approximately 47.06% when comparing the predicted number to the actual responses citing the inconvenience of location.

Step-by-step explanation:

LC Motor Sales conducted a survey to understand why customers who purchased cars from them did not use their service department for ongoing maintenance. The marketing director predicted that 25 customers would cite the location's inconvenience as their reason for not utilizing the service, but only 17 customers indicated this.

To determine the relative error of the marketing director's prediction, we must first find the absolute error. The absolute error is the difference between the predicted number (25) and the actual number (17), which is |25 - 17| = 8. The relative error is then found by dividing the absolute error by the actual number and then expressing it as a percentage. Therefore, the relative error is (8 / 17) * 100%, which equals approximately 47.06%.

To determine the relative error, we first need to find the absolute error. The absolute error is the difference between the predicted value and the actual value. In this case, the predicted number of customers who felt the location was not convenient is 25, and the actual number of responses is 17. Therefore, the absolute error is 25 - 17 = 8.

To find the relative error, we divide the absolute error by the actual value and multiply by 100 to express it as a percentage. So, the relative error is (8 / 17) * 100 = 47.06%.