The data shown in the table below represents the weight, in pounds, of a little girl, recorded each year on her birthday. age (in years) weight (in pounds) 2 32 6 47 7 51 4 40 5 43 3 38 8 60 1 23 part a: create a scatter plot to represent the data shown above. sketch the line of best fit. label at least three specific points on the graph that the line passes through. also include the correct labels on the x-axis and y-axis. part b: algebraically write the equation of the best fit line in slope-intercept form. include all of your calculations in your final answer. part c: use the equation for the line of best fit to approximate the weight of the little girl at an age of 14 years old.

Step-by-step  Explanation:

Part A: Algebraically write the equation of the best fit line in slope-intercept form. Include all of your calculations in your final answer.

Considering the data

Age (in years)                Weight (in pounds)

2                                                32

6                                                 47

7                                                 51

4                                                 40

5                                                 43

3                                                 38

8                                                 60

1                                                  23

Considering the slope intercept form

where is the slope of the line and is the y-intercept.

Taking two points, lets say (2, 32) and (8, 60)

as

so

Thus

as

and

substituting in the slop-intercept form

Therefore, is the equation of the best fit line in slope-intercept form.

Part B: Use the equation for the line of best fit to approximate the weight of the little girl at an age of 14 years old.

As the equation of line is

So in order to find the weight of the little girl at an age of 14 years old, put

in the above equation.

as

         ∵  

Therefore, the approximate weight of the little girl at an age of 14 years old will be 88 pounds.