Scatterplots and Line of Best Fit

What is an explanatory variable in a dataset?

• The variable that is being predicted or explained.

• The variable that explains or influences changes in another variable.

• The variable that remains constant.

• The variable that is always numerical.

What is a response variable in a dataset?

• The variable that explains or influences changes in another variable.

• The variable that is being predicted or explained.

• The variable that remains constant.

• The variable that is always categorical.

Which of the following best describes a scatterplot?

• A graph that shows the frequency of data points.

• A graph that displays the relationship between two variables using dots.

• A graph that shows the distribution of a single variable.

• A graph that uses bars to represent data.

In a scatterplot, what does each point represent?

• A single variable's value.

• A pair of values, one from each of the two variables.

• The average of all data points.

• The sum of all data points.

What does the slope of a line of best fit indicate in a scatterplot?

• The point where the line crosses the y-axis.

• The rate of change between the explanatory and response variables.

• The maximum value of the response variable.

• The minimum value of the explanatory variable.

What does the y-intercept of a line of best fit represent?

• The value of the response variable when the explanatory variable is zero.

• The average value of the explanatory variable.

• The maximum value of the response variable.

• The point where the line crosses the x-axis.

If the slope of a line of best fit is positive, what does this indicate about the relationship between the two variables?

• There is no relationship between the variables.

• As the explanatory variable increases, the response variable decreases.

• As the explanatory variable increases, the response variable increases.

• The variables are inversely proportional.

If the slope of a line of best fit is negative, what does this indicate about the relationship between the two variables?

• There is no relationship between the variables.

• As the explanatory variable increases, the response variable decreases.

• As the explanatory variable increases, the response variable increases.

• The variables are directly proportional.

Which of the following equations represents a line of best fit with a slope of 2 and a y-intercept of 3?

In the context of a scatterplot, what does it mean if the points are closely clustered around the line of best fit?

• There is a weak correlation between the variables.

• There is a strong correlation between the variables.

• The variables are not related.

• The line of best fit is incorrect.