Scatter
plots & Relationships
plots & Relationships
Points move upward from left to right.
What type of relationship is shown?
Positive Correlation
Ice cream sales increase when temperature increases.
Does this show correlation or causation?
Correlation
The mean of a dataset represents what?
The average of the data.
A dot plot shows most values between 8 and 10, with one value far above the rest.
What is the far value called?
An outlier
What does a line of best fit represent?
The general trend in the data, linear association of the scatter points
Points move downward from left to right.
What type of relationship is shown?
Negative correlation
Students who study more tend to earn higher grades.
Does this prove studying causes better grades?
No
The median represents what?
The middle value when the data is ordered.
Two dot plots have the same median, but one has values spread farther apart.
Which dataset has greater variability?
Two dot plots have the same median, but one has values spread farther apart.
Which dataset has greater variability?
What does the slope of a regression line represent?
What does the slope of a regression line represent?
A scatterplot shows points with no clear pattern.
What does this suggest about the relationship?
No correlation / no association
Cities with more firefighters often have more fire damage.
Why does this not mean firefighters cause the damage
Larger fires require more firefighters.
Two students have the same mean score.
Student A’s scores vary widely while Student B’s scores are very close together.
Which student likely has the larger standard deviation?
Student A
A distribution has a long tail to the right.
What type of skew is this?
Right-skewed
A regression line has a positive slope.
What does this mean about the relationship?
As one variable increases, the other increases.
Two scatterplots show relationships between the same variables.
Plot A has points tightly clustered around a line.
Plot B has points widely scattered.
Which plot shows the stronger relationship?
Plot A
A study shows students who sleep more feel healthier.
What type of relationship is this?
Correlation
Why might the median be preferred over the mean when a dataset contains outliers?
The median is less affected by extreme values.
A right-skewed distribution is compared to a symmetric distribution.
Which measure of center is most affected by the skew?
A. Median
B. Mean
Mean
If data points lie close to the line of best fit, what does this suggest?
If data points lie close to the line of best fit, what does this suggest?
A scatterplot shows that as practice time increases, performance improves.
Describe the relationship.
Positive correlation
Why must we be careful when interpreting correlations?
Correlation does not prove cause and effect.
Two datasets have the same mean but different spreads.
Which dataset would likely have the larger standard deviation?
The dataset with the larger spread.
A right-skewed distribution is compared to a symmetric distribution.
Which measure of center is most affected by the skew?
A. Median
B. Mean
Mean < Median
Why is a line of best fit useful when analyzing data?
It allows us to make predictions based on the trend.