Which of the following data sets or plots could have a regression line with a
negative slope? Select all that apply.
Great work! That's correct.
the difference in the number of ships launched by competing ship builders as a
function of the number of months since the start of last year
the number of hawks sighted per day as a function of the number of days since the
two-week study started
the total number of ships launched by a ship builder as a function of the number of
months since the start of last year
the average number of hawks sighted per day in a series of studies as a function of
the number of days since the ten-week study started
Answer Explanation
, Correct answer:
the difference in the number of ships launched by competing ship builders as a
function of the number of months since the start of last year
the number of hawks sighted per day as a function of the number of days since the
two-week study started
the average number of hawks sighted per day in a series of studies as a function of
the number of days since the ten-week study started
The slope is related to the increase or decrease of the dependent variable as a
function of the independent variable. If the dependent variable can decrease, then
the slope can be negative, such as with the difference in the number of ships
launched.
Question
The scatter plot below shows the average cost of a designer jacket in a sample of
years between 2000 and 2015. The least squares regression line modeling this
data is given by yˆ=−4815+3.765x.