Question

A study was done on the effects of sleeping on test scores. 15 people were asked to reduce their sleep amount by different amounts and were given a series of test the next day. The results are shown above in the scatter plot. Which linear equation below fits the best fit line on the scatter plot above?

A. y = 1/3 x+37 1/3
B. y = 6 2/3 x+33 1/3
C. y = 3x+33 1/3
D. y = 6 2/3 x+27

Answer 1

The linear equation below that fits the best-fit line on the scatter plot is this: A. y = 1/3 x+37 1/3

How to determine the best linear equation

To determine the best linear equation, note that a line of best fit would be represented as y = mx + b where b is the intercept, and m is the slope. A quick view of the graph below shows that the value of the y-intercept is at 37 1/3. This helps us trace the correct answer to option A.

We can further evaluate this by calculating the slope and affixing values of x to the equation to see if the right values of y are obtained. So, given the y-intercept, we can conclude that the linear equation is A. y = 1/3 x+37 1/3.