A horticulturist conducted an experiment on 140 thirty- six inch plant boxes to see if the amount of plant food given to the plant boxes was associated with the number of habanera peppers harvested from the plants. The average amount of plant food given was 17.8 milliliters with a standard deviation of 0.7 milliliters. The average number of habanera peppers harvested was 6.5 with a standard deviation of 1.5. The correlation coefficient was 0.8123. Use the information to calculate the slope of the linear model that predicts the number of habanera peppers harvested from the amount of plant food given. Show your work and round to the nearest hundredth.
A)1.74
B)The slope cannot be determined without the actual data.
C)0.38
D)- 1.50

Question

Quizplus · Accepted Answer

The slope of the linear model that predicts the number of habanera peppers harvested from the amount of plant food given is 1.74. This can be calculated using the formula:slope = correlation coefficient * (standard deviation of y) / (standard deviation of x)where x is the amount of plant food given and y is the number of habanera peppers harvested.Plugging in the given values, we get:slope = 0.8123 * (1.5) / (0.7) = 1.74

A Horticulturist Conducted an Experiment on 140 Thirty- Six Inch