It is to be noted that the scatter plot that represent the above data is attached accordingly.
What is a scatter plot?
A scatter plot is a graph in which the data of two variables are displayed along two axes, and any association is revealed by the pattern of the resultant dots.
- Remember Scatter plot is a type of x-y graph
- X is the horizontal line and will be the Age
- Y is the vertical lien and will be Weight
What is the Algebraic equation of the best fit line in slope-intercept form? [Part B]
Slope-intercept form is y = mx + b
m is the gradient of the line, determined by calculating "change of y divided by change of x"
- Age 2 and weight 32 would be the point (2, 32) on the graph
- Age 8 and weight 60 is the point (8, 60) in the graph
To compute for the gradient (m) we say:
(60 - 32)/(8-2)
= 28/6
m = 4.667
Next we calculate for b
The point on the graph where the line crosses the vertical line is known as the y-intercept, or b. (y-axis).
Put one of the graph's points, say (2, 32), and the amount of m you just computed into the slope-intercept form to calculate b.
That is:
32 = m(2) + b
Recall that m = 4.667
Hence 32 = 4.667 * 2 + b
32 = 6.667 + b
b = 32 - 6.667
b = 25.33
Using the equation for the line of best fit what is the approximate weight of the little girl at an age of 14 years old? [Part C]
Given that we have the figures for m and b,
Recall that the function is: y = mx + b; and that
- X is the horizontal line and will be the Age
- Y is the vertical lien and will be Weight
If x = 14 years, then
y = 4.667 * 14 + 25.33
y = 90.668
y ≈ 91 kg.
Learn more about scatter plots at;
https://brainly.com/question/6592115
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