Scatter Plots
What does a positive correlation in a scatter plot indicate about the relationship between two variables?
An increase in one variable predicts an increase in another variable.
What is a two-way table used for?
A two-way table is used to display the relationship between two categorical variables and to show the frequency of different combinations of these variables.
What is the formula for the volume of a cylinder?
The formula for the volume of a cylinder is V=πr^2h
How can you identify an outlier in a scatter plot?
An outlier can be identified as a point that is significantly distant from the other points in the scatter plot.
How do you find the total number of observations in a two-way table?
The total number of observations in a two-way table can be found by adding all the frequencies in the table.
How do you calculate the volume of a cone?
The volume of a cone is calculated using the formula V=(1/3)πr^2h.
If a scatter plot shows a cluster of points in the upper right corner, what can you infer about the two variables?
If a scatter plot shows a cluster of points in the upper right corner, it suggests that both variables increase together.
If 30 out of 100 students like both cats and dogs, what is the probability that a randomly selected student likes both?
The probability that a randomly selected student likes both is 30100=0.310030=0.3 or 30%.
If a sphere has a radius of 3cm, what is its volume?
36π cubic cm.
How would you describe a scatter plot that shows no correlation?
A scatter plot with no correlation will show points that are scattered with no discernible pattern or trend.
How can you determine if there is an association between two categorical variables in a two-way table?
You can determine if there is an association by comparing the relative frequencies in the cells of the table to see if they are different from each other. If they are, there is an association.
A cylinder has a height of 10 cm and a radius of 5 cm. What is its volume? Use 3.14 to approximate for pi, round to the nearest tenth.
785.4 cubic cm.
Explain how you would use a scatter plot to make predictions about one variable based on another.
You would use the trend line or pattern in the scatter plot to make predictions about one variable based on the value of the other variable.
In a survey of 200 students, 120 like basketball, 80 like soccer, and 50 like both. Create a two-way table to show the relationship between students who like basketball and those who like soccer. Then, what percentage of students like only basketball?
Soccer No Soccer Total
BBall 50 70 120
No BBall 30 50 80
Total 80 120 200
% who only like BBall =70/200=35%
How would you apply the volume formulas to determine how many cylindrical cans can fit in a box with a volume of 2000 cubic cm?
You would divide the volume of the box by the volume of one can. If the can's volume is known, you can calculate the number of cans.