Graph the data as a scatter plot. Can you draw a trend line?
Is it a linear relationship? Yes. Example Solution: y=4.27x+1.73
After 15 minutes of walking, you have burned approximately 65.8 calories.
Practice makes perfect
To determine whether the data shows a linear relationship, let's begin by visualizing it.
Observing the Graph
By treating the table as a set of points, we can graph the given data as a scatter plot. Do you see any trends?
It looks like there is some kind of correlation. 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 (1,6) and (16,70) in the Slope Formula.
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 15 for x in our equation and solve for y.
