Question

"Anthony plants flowers from seed and each day measures the height of the flowers compared to the soil line. He records his measurements in a scatter plot. Anthony calculates the equation of the least squares regression line:

Predicted Height = 0.56 · Days in Soil − 3.16

Use the drop-down menus to complete the statements below about what this linear model tells you about the height of a flower.

The slope of the least squares regression line is ________.
The units of the slope of the line are ________.
The slope of the line tells you that for each new day you can predict that a flower's height will increase by about ________ centimeters.
The y-intercept of the least squares regression line is ________.
The units of the y-intercept of the line are ________.
The y-intercept of the line tells you ________."

Answer 1

The slope of the least squares regression line tells you how much the predicted height of a flower increases each day. The y-intercept of the line tells you the predicted height of a flower at day 0.

Step-by-step explanation:

The slope of the least squares regression line is 0.56.

The units of the slope of the line are centimeters per day.

The slope of the line tells you that for each new day you can predict that a flower's height will increase by about 0.56 centimeters.

The y-intercept of the least squares regression line is -3.16.

The units of the y-intercept of the line are centimeters.

The y-intercept of the line tells you how tall the flower is predicted to be at day 0.