What might a scatter plot look like, if it shows a relationship between allergies and the cleanliness of the air we breathe? Explain the expected relationship.

Suppose you are studying the possible relationship between the variables “Available Money” and “Number of Days After Payday.”

a. When plotting the data, which variable would you choose for the independent variable? Which would be the dependent variable? Explain.

b. Draw a possible scatter plot.

c. Describe the relationship in your scatter plot.

The scatter plot below shows the graphics quality (on a scale of1 to 10) foraVideo game when it is played on various computers.

a. Is the line of best fit appropriate? If so, explain why. If not, sketch a more appropriate one.

b. Determine the equation of the most appropriate line of best fit.

Students in Ryan’s social science class collected data to study whether marks scored on a test were related to the number of hours of TV watched the night before the test. Data were collected for 10 students.

a. Draw a scatter plot of the data.

b. Do the data show a pattern? If so, describe it.

c. Draw a line of best fit for the data.

d. Determine an equation for your line of best fit.

e. Using your line of best fit, predict the test score for a student who watched 2.5 h of TV.

f. Do you expect your prediction to be the same as all of your classmates’ predictions? Explain.

The scatter plot shows the population of a colony of wolves in a wilderness region of Northern Ontario.

a. Explain whether the line of best fit is appropriate.

b. Would a curve of best fit be more appropriate? If so, sketch one. If not, explain why not.

c. Might both a line of best fit and a curve of best fit be appropriate? Explain.

Data are collected on shoe sizes and heights for men.

a. Draw a scatter plot of the data.

b. Do the data show a pattern? If so, describe it.

c. Draw a line or curve of best fit for the data.

d. If you have drawn a line of best fit, determine an equation for it.

e. Using your line or curve of best fit, predict the shoe size of a man who is 180 cm tall.

f. Using your line or curve of best fit, predict the height ofa man whose shoe size is 17.5.

Do you think that the number of chess grandmasters in a country is related to the size of its population?

a. Formulate a conjecture about the relationship.

b. Consider the data for a sample of countries. Plot the data on a scatter plot.

c. If possible, sketch a line or curve of best fit.

d. Is there a relationship between the variables? If so, describe it.

e. Suggest other influences on the number of grandmasters in a country.

A hotel courtesy bus takes David from the airport to his hotel. Use the Distance versus Time graph to create a story that traces the route of the bus.