Easy# Accuracy in Predicting the Height of a Sunflower?

APSTAT-9YG6F0

Melanie planted a sunflower seed and decided to track its growth. Letting $x$ represent the number of days since the seed was planted and letting $y$ represent the plant's height in inches, she carefully gathered data each day beginning on day $7$ when the seed sprouted and continued for $30\text{ days}$ after that. She then developed the following LSRL:

$$\hat { y } =-6.78+1.43x$$

The correlation for the relationship was $r=0.972$.

Melanie wonders how tall her sunflower will be $6\text{ months}$ after the seed was planted and decides to use the LSRL to make a prediction. Which of the following statements would best describe the accuracy of her prediction?