Question

use the table below to complete the scatterplot and answer the following question.

age (x years)	heights (y in)
5	45
4.5	44
1.5	28
4	39
2	34
3	35

(a) part about using table for scatterplot, text omitted as per instruction
(b) what does the slope mean in context?

• the slope represents the age
• the slope represents number of inches grown per year
• the slope represents the number of inches someone has grown
• the slope represents the maximum height

(c) what does the y - intercept mean in context?

• they y - intercept represents the height someone is at every single day
• they y - intercept represents the height at the given point x
• they y - intercept represents the amount of inches grown per year
• they y - intercept represents the age

Explanation:

Step1: Organize Data Points

First, list the (x, y) pairs from the table: (1, 23), (5, 45), (4.5, 44), (1.5, 28), (4, 39), (2, 34), (3, 35). These are the age (x) and height (y) data points for plotting the scatterplot.

Step2: Plotting on Scatterplot

For each pair, locate the x - value (age) on the horizontal axis and the y - value (height) on the vertical axis, then mark the point. For example, for (1, 23), find x = 1 on the x - axis and y = 23 on the y - axis and mark the intersection. Repeat this for all the data points.

(Note: Since the question about the slope and interpretation is also part of the problem, but the main task here is to complete the scatterplot. If we were to analyze the slope later, we would first find the line of best fit, calculate the slope as $m=\frac{y_2 - y_1}{x_2 - x_1}$ using two points on the line of best fit, and then interpret the slope as the rate of change of height with respect to age. For example, if the slope is 5, it means height increases by 5 inches per year of age on average.)

Answer:

To complete the scatterplot, plot the points: (1, 23), (5, 45), (4.5, 44), (1.5, 28), (4, 39), (2, 34), (3, 35) on a coordinate system with age (x) on the x - axis and height (y) on the y - axis.