Read the following description of a data set.Stem and Leaf Agriculture wants to add a new compound to its bags of sunflower fertilizer. The company produced several bags containing varying amounts of the compound to see how it would affect sunflower growth.Next, Stem and Leaf collected data on the amount of the compound added to each bag (in grams), x, and the weekly growth of the sunflowers treated with each bag (in centimeters), y.The least squares regression line of this data set is:y=0.138x+23.221Complete the following sentence:If Stem and Leaf Agriculture increased the amount of the compound by one gram per bag, the least squares regression line predicts that the sunflowers would grow __ centimeters more per week.
Q. Read the following description of a data set.Stem and Leaf Agriculture wants to add a new compound to its bags of sunflower fertilizer. The company produced several bags containing varying amounts of the compound to see how it would affect sunflower growth.Next, Stem and Leaf collected data on the amount of the compound added to each bag (in grams), x, and the weekly growth of the sunflowers treated with each bag (in centimeters), y.The least squares regression line of this data set is:y=0.138x+23.221Complete the following sentence:If Stem and Leaf Agriculture increased the amount of the compound by one gram per bag, the least squares regression line predicts that the sunflowers would grow __ centimeters more per week.
Identify Slope: Identify the slope of the least squares regression line.The slope of the regression line is the coefficient of x, which represents the change in the dependent variable (y) for each one-unit increase in the independent variable (x).In the equation y=0.138x+23.221, the slope is 0.138.
Interpret Slope: Interpret the slope.The slope of 0.138 means that for each additional gram of the compound added to a bag (which is a one-unit increase in x), the sunflowers are predicted to grow an additional 0.138 centimeters per week.
Calculate Predicted Growth: Calculate the predicted increase in growth for a one-gram increase in the compound.Since the slope is 0.138, an increase of one gram in the compound per bag would result in an increase of 0.138 centimeters in the weekly growth of the sunflowers.