Question

The scatter plot shows a​ hiker's elevation above sea level during a hike from the base to the top of a mountain. The equation of a trend line for the​ hiker's elevation is yequals9.82xplus671​, where x represents the number of minutes and y represents the​ hiker's elevation in feet. Use the equation of the trend line to estimate the​ hiker's elevation after 165 minutes.

Answer 1

Answer:

2291.3

Step-by-step explanation:

The given regression equation is

y=9.82 x + 671

Where y= Hiker's elevation in feet and x= number of minutes.

Here, number of minutes is an independent variable while Hiker's elevation in feet is the dependent variable. The slope coefficient 9.82 depicts that due to unit increase in number of minutes the Hiker's elevation in feet increases by 9.82 feet.

We have to estimate the hiker's elevation after 165 minutes using the above regression equation. We simply put x=165 to estimate the hiker's elevation.

y= 9.82(165) + 671

y= 1620.3+671

y= 2291.3

So, the estimated hiker's elevation after 165 minutes is 2291.3 feet.