Start with finding the equation of the trend line.
Graph:
Predicted number of tenpin bowling establishments: 4650
Practice makes perfect
We are asked to plot a scatter plot of the data, draw a trend line and find its equation.
Observing the Graph
By treating the table as a set of points, we can graph the given data as a scatter plot.
Let's draw a line of fit, or trend line. To do so, we will draw a line that appears to fit the data closely.
Equation for the Line of Fit
To write an equation for the line of fit we determined above, we first need to use two points on the line to find its slope. Let's use (2002,5973) and (2006,5566) in the Slope Formula.
Now that we have the slope m= -101.75, let's use the point ( 2002, 5973) in the point-slope form to write and simplify an equation for our line of fit.
To calculate the expected output at a given input, we can substitute the value into our equation of fit. In this case, we will substitute year 2015 for x in our equation and solve for y.
