Question

The height of a plant in centimeters is recorded each day for 14 days. The function y = 1.44x + 1.55 is determined to be a good fit for the data. On day 7, the recorded height was 12.32 centimeters. How close is the predicted height to the actual height of the plant (the residual)? A) 0.63 cm B) 0.69 cm C) 1.38 cm Eliminate D) −0.69 cm

Answer 1

The predicted height is close to the actual height of the plant by 0.69 cm

How to determine the closeness in the heights?

The equation of the height function of the plant is given as:

y = 1.44x + 1.55

The height on day 7 is calculated as:

y = 1.44 * 7 + 1.55

Evaluate

y = 11.63

The recorded height is given as 12.32

The residual is calculated as:

Residual = Recorded - Predicted

So, we have:

Residual = 12.32 - 11.63

Evaluate

Residual = 0.69

Hence, the predicted height is close to the actual height of the plant by 0.69 cm

Read more about residuals at:

https://brainly.com/question/16180255

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