Scatterplot Correlations

What does 'moderate negative trend' mean?

• A moderate negative trend indicates a noticeable downward slope in the data, but the points are not tightly clustered around the line of best fit.

• A moderate negative trend shows a steep decline in data points that are closely packed together.

• A moderate negative trend suggests that data points are randomly scattered with no clear direction.

• A moderate negative trend means that data points are increasing steadily over time.

What is the correlation coefficient?

• A numerical measure of the strength and direction of a linear relationship between two variables.

• A statistical test used to determine the mean of a dataset.

• A method for calculating the variance of a dataset.

• A graphical representation of data points in a scatter plot.

What is the range of the correlation coefficient?

• -2 to 2

• -1 to 1

• 0 to 1

• -1 to 0

What does a correlation coefficient of r = 0.5 indicate?

• A strong positive correlation between the two variables.

• No correlation between the two variables.

• A moderate positive correlation between the two variables.

• A strong negative correlation between the two variables.

How can you visually assess the strength of a correlation in a scatterplot?

• By counting the number of points in the scatterplot

• By observing how closely the points cluster around a line of best fit

• By measuring the distance between the points

• By calculating the mean of the x and y values

What is an example of a positive association in real life?

• The relationship between hours studied and test scores; generally, more study time leads to higher scores.

• The relationship between ice cream sales and drowning incidents; more ice cream sales lead to more drownings.

• The relationship between exercise and weight gain; more exercise leads to increased weight.

• The relationship between sleep and productivity; less sleep leads to higher productivity.

What does 'no correlation' mean in the context of a scatterplot?

• There is a strong relationship between the two variables.

• Changes in one variable predict changes in the other.

• There is no discernible relationship between the two variables; changes in one variable do not predict changes in the other.

• The two variables are identical and move together perfectly.

What does a negative correlation indicate in a scatterplot?

• A negative correlation indicates that as one variable increases, the other variable tends to decrease.

• A negative correlation indicates that both variables increase together.

• A negative correlation indicates that both variables decrease together.

• A negative correlation indicates that there is no relationship between the variables.

What is the difference between strong and weak correlations?

• Strong correlations have points that are closely clustered around the line of best fit, while weak correlations have points that are more spread out.

• Strong correlations indicate a perfect linear relationship, while weak correlations indicate no relationship at all.

• Weak correlations have points that are closely clustered around the line of best fit, while strong correlations have points that are more spread out.

• Strong correlations can only occur in positive relationships, while weak correlations can occur in both positive and negative relationships.

What is a line of best fit?

• A line that connects all the points in a scatterplot.

• A straight line that best represents the data on a scatterplot, showing the general direction of the relationship between the variables.

• A curved line that shows the average of the data points.

• A line that only includes the highest and lowest points in the scatterplot.