A university football stadium has 81,500 seats. The stadium is at full capacity on game day. Layla believes only 79,000 seats are occupied. Find the percentage error of Layla’s prediction
its 3.07%
To find the percentage error of Layla's prediction, we will use the formula for percentage error:
Percentage error = [(Observed value - Predicted value) / Observed value] * 100
Given that the observed value is 81,500 seats and the predicted value is 79,000 seats, we can substitute these values into the formula:
Percentage error = [(81,500 - 79,000) / 81,500] * 100
Simplifying the equation:
Percentage error = (2,500 / 81,500) * 100
Calculating:
Percentage error = 0.0306 * 100
Percentage error = 3.06%
Therefore, Layla's prediction has a percentage error of 3.06%.
To find the percentage error of Layla's prediction, we need to calculate the difference between the actual number of occupied seats and Layla's predicted number of occupied seats, and then find the percentage of this difference.
The actual number of occupied seats is given as 81,500.
Layla's predicted number of occupied seats is given as 79,000.
The difference between the actual and predicted number of occupied seats can be calculated as:
81,500 - 79,000 = 2,500
To find the percentage error, we need to calculate the percentage of the difference over the actual value. Therefore, we divide the difference by the actual number of occupied seats and multiply by 100:
(2,500 / 81,500) * 100 = 3.07%
So, the percentage error of Layla's prediction is approximately 3.07%.