Question

the scatterplot above shows data collected on the height in centimeters an mass in grams of a certain group of small plants a line of best fit for the data is also shown based on the line of best fit, if the height of one of those plants is 5 centimeters what is the predicted weight in grams of that plant.

Answer 1

(C) 23.1 grams

Explanation:

The given diagram shows a scatter plot with a line of best fit.

The equation of the line of best fit is:

`\large\boxed{y = 1.82x + 14}`

where:

• x is the height of the plant (in centimeters).
• y is the mass of the plan (in grams).

To find the predicted weight in grams of a plant that is 5 centimeters high, substitute x = 5 into the equation of the line of best fit and solve for y:

`\begin{aligned}x=5 \implies y&=1.82(5)+14\\y&=9.1+14\\y&=23.1\; \sf g\end{aligned}`

Therefore, the predicted weight of a plant that is 5 centimeters high is 23.1 grams.