Question

Which of the following equations is the equation of a suitable line of best fit for the data given below?. {(45, 18), (62, 13), (72, 11), (55, 15), (38, 21), (26, 31), (93, 9), (64, 13), (29, 28), (33, 25), (49, 17)}.. A. y = 3x + 35. B. y = –10x + 35. C. 3/10x -35. D. -3/10x + 35

Answer 1

By using the function in excel, we can plot the data given in the problem statement or we can also graph it manually. From these graphs, we can obtain an equation that would best fit the data. From the given choices, the best answer is option D, -3/10x + 35. 

Answer 2

Answer:

$y=-\dfrac{3}{10}x+35$

D is correct

Step-by-step explanation:

We are given the list of points of data.

We need to find the best fit of line for data.

First we draw scatter plot of points on graph and then draw the best fit of line on graph.

From list of points we will choose two points closet to best fit of line. (It might be different for other)

Let here we choose closet point (72,11) and (33,25)

Using two point for to find the slope of line and equation of line.

$m=\dfrac{25-11}{33-72}=-\dfrac{14}{39}\approx -\dfrac{3}{10}$

Using point (33,25)

Equation of best fit line:

$y-y_1=m(x-x_1)$

$y-25=-\dfrac{3}{10}(x-33)$

$y=-\dfrac{3}{10}x+35$

Hence, The equation of best fit of line is $y=-\dfrac{3}{10}x+35$