Exam 6: Scatterplots, association, and Correlation

Soda is often considered unhealthy because its content is high in both caffeine and refined sugar.But are the two related? Caffeine and refined sugar contents (in milligrams)of 12 ounces of several brands of soda are shown on the following scatterplot.The correlation between caffeine and refined sugar is 0.189.Describe the association.

In a school,a scientist observed children during lunch time over several months to study how much they eat and for how many minutes.He evaluated in calories what each child ate each day for lunch.After careful observations,he found that the variables time and calories relate linearly,and that the correlation between those variables is 0.629.Suppose he was to record time in hours rather than in minutes.Would the correlation change?

A ceramics factory can fire seven large batches of pottery per day.Sometimes in the process a few of the pieces break.In order to understand the problem better,the factory records the number of broken pieces in each batch for 3 days and then creates the scatterplot shown.Make a histogram showing the distribution of the number of broken pieces in the 21 batches of pottery examined.

Several scatterplots are given with calculated correlations. Which is which? - a)0.027,b)0.912,c)0.821,d)0.672

Determine whether the scatterplot shows little or no association, a negative association, a linear association, a moderately strong association, or a very strong association (multiple associations are possible). -

Air pressure,altitude

A clothes shop owner tries to predict the winter collection sales by displaying the coats sales (in dollars)and the outside temperature (in degrees Fahrenheit)on the following scatterplot.He calculates that the correlation between coats sales and temperature is -0.737.Suppose the variable temperature is recorded in degrees Celsius rather than in degrees Fahrenheit.What will be the correlation?

The table contains the weights (in kg)and heights (in cm)of 9 randomly selected adults.

The paired data below consist of the test scores of 6 randomly selected students and the number of hours they studied for the test.

Determine whether the scatterplot shows little or no association, a negative association, a linear association, a moderately strong association, or a very strong association (multiple associations are possible). -

A researcher studies children in elementary school and finds a strong positive linear association between shoe size and reading skills.Find the lurking variable,if there is one.

Several scatterplots are given with calculated correlations. Which is which? - a)0.625,b)-0.775,c)-0.957,d)0.855

How tired you are,hours of sleep

A study is conducted on insects growth based on hydrometry.The correlation found between insects growth and hydrometry is 0.05.A journalist concludes that a low correlation between insects growth and hydrometry shows that insects can reproduce easily in a dry climate.Do you agree with this interpretation?

A Science instructor assigns a group of students to investigate the relationship between their grade point average and their consistency in studying.The correlation between GPA and studying consistency is 0.857.Assume that the relation is linear.Describe the association.

Below are the Olympic gold medal performances in the men's high jump from 1960 to 1984.

Oranges: weight (grams),oranges: weight (milligrams)

The owner of a small manufacturing plant employs nine people.As part of their personnel file,he asked each one to record the distance,in km,they travel one way from home to work and the time it takes in minutes.

Determine whether the scatterplot shows little or no association, a negative association, a linear association, a moderately strong association, or a very strong association (multiple associations are possible). -

Determine whether the scatterplot shows little or no association, a negative association, a linear association, a moderately strong association, or a very strong association (multiple associations are possible). -