The table shows the distance and costs of flights for a given airline with the same starting destination and different ending destinations. distance (miles) 1281 2796 790 150 3211 7810 812 210 7742 3578 1346 3214 cost (dollars) 473 683 508 301 1115 3619 587 540 3013 1647 882 817 find the equation of the median-median line for the data. predict the cost of a flight that travels a distance of 1950 miles.

Respuesta :

This problem involves data fitting. You do this by gathering statistics that represent your data plot points. Once you plot them in a graph, you create a trendline that fits to your data points. The equation of this trendline will be the model of the equation you're trying to formulate. This trendline is also the median line because it is placed between the points. 

To solve this, you would need a software tool to be accurate which is important especially if you will be using the model equation. I used MS Excel for this. The linear equation of the median line is y = 0.3851x + 124.92. The R² is called the correlation coefficient. It tells you how good the fit is to your data points. The ideal value is 1. An R² value of 0.9098 is already a good fit. Hence, we use this equation to determine the cost when the distance is 1950 miles.

Cost = 0.3851(1950) + 124.92
Cost = $875.865
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