The scatter plot shows the average heights of children up to age 5. Part A
Drag numbers to complete an equation for the trend line. Numbers may be used once, more than once, or not at all.

(22, 2.5, 18, 32, 4.5)

y = ?x + ?

Part B
Using the linear equation, predict the average height for a two-year old.

A. 15 inches
B. 22 inches
C. 31 inches
D. 35 inches

(a) -- The equation

(b) 31 inches

Step-by-step explanation:

Given

See attachment

Solving (a): The equation of the trend line.

We start  by calculating the slope (m)

Where

So, we have:

The equation is then calculated using:

Where:

Open bracket

(b) The height of a 2 year old.

To do this, we substitute 2 for x in

The prediction is 31 inches

d. bc = 12 and ef = 16

step-by-step explanation:

we are given that δabc : δdef such that .

also, it is given that

so, from the options, we need that .

a.

b.

c.  

d.

as, we can see that only option d gives the same ratio as i.e. .

hence, the possible lengths are bc = 12 and ef = 16.