# (Solved) Math225 Week 8 Assignment: Correlation and Causation

Question

The scatter plot below shows data for the number of babies (y) born in a certain city in a given year, where x is the year. The least squares regression line is given by yˆ=28,450−344x.

Interpret the y-intercept of the least squares regression line

Question

Which of the following data sets or plots could have a regression line with a negative slope? Select all that apply.

Question

A business finds that sales increase when the outdoor temperature decreases.

Identify the relation between sales and temperature.

Question

Suppose that a large controlled experiment tests whether caffeine improves reaction times. A very large number of randomly selected participants are randomly given identical-seeming pills with varying doses of caffeine (including none) and then given tests of reaction times under the same conditions. The experiment finds a strong negative correlation between caffeine dose and reaction time. (Note that lower reaction times are better.)

Identify what can be concluded based on this information.

Question

Suppose that data collected from police reports of motor vehicle crashes show a moderate positive correlation between the speed of the motor vehicle at the time of the crash and the severity of injuries to the driver. Answer the following question based only on this information.

True or false: It can be concluded that the faster a motor vehicle is traveling at the time of a crash, the more severe the injuries to the driver are.

Question

An experiment finds that runners with the longest legs complete a mile run in less time.

Identify the relation between leg length and time of a mile run.

Question

Which of the following situations would have data sets or plots that could have a regression line with a positive slope? Select all that apply.

Question

Which of the following situations could produce data sets or plots would have a regression line with a negative slope? Select all that apply.

# Solution:

The scatter plot below shows data for the number of babies (y) born in a certain city in a given year, where x is the year. The least squares regression line is given by yˆ=28,450−344x.

Interpret the y-intercept of the least squares regression line

Answer: The y-intercept should not be interpreted.

Which of the following data sets or plots could have a regression…Please click the icon below to download the solution at \$5