Question

Zoey bought a plant and planted it in a pot near a window in her house. Let

H
H represent the height of the plant, in inches,
t
t months since Zoey bought the plant. The table below has select values showing the linear relationship between
t
t and
H
.
H. Determine the initial height of the plant when it was purchased.

Answer 1

16 inches

Explanation:

Answer 2

Answer: 2.5

Explanation:

Given the relationship between month since plant was bought t and plant height H ;

t

0.5

3

5

H:

17.25

23.5

28.5

Using the online regression calculator, the regression model obtained is :

y = 16x + 2.5

Using this model, we can obtain the height when t = 0 ; this will give the height at the time of purchase of the plant. Therefore, at x = 0

y = 16(0) + 2.5

y = 0 + 2.5

y = 2.5

Hence, height of plant = 2.5