Question

An bus station has determined that the relationship between the number of passengers on a bus and the total weight of luggage stored in the baggage compartment can be estimated by the least squares regression equation y=118+14x. Predict the weight of luggage for a flight with 142 passengers.

Answer 1

The weight of luggage for a flight with 142 passengers is 2,106

Explanation:

The total weight of luggage stored in the baggage compartment can be estimated by the least squares regression equation:

y=118+14*x

where y is the total weight of luggage stored in the luggage compartment and x is the number of passengers on a bus.

If you want to predict the weight of luggage for a flight with 142 passengers, this means that x must have a value of 142. So, replacing in the expression:

y=118+14*142

you get:

y=118+1,988

y=2,106

The weight of luggage for a flight with 142 passengers is 2,106