Exploring Scatter Plots and Predictions

What is the primary purpose of using a scatter plot?

• To visualize the relationship between two variables

• To compare the weight of different objects

• To determine the volume of a solid

• To calculate the area under a curve

What is required for a line to be considered the line of best fit?

• It must be a horizontal line

• It must pass through all the points on the graph

• It should touch at least two points and go through the middle of the data

• It should only touch the first and last points

How do you calculate the slope of a line?

• (Y2 - Y1) / (X2 - X1)

• (X2 - X1) / (Y2 - Y1)

• (Y2 + Y1) / (X2 + X1)

• (X2 + X1) - (Y2 - Y1)

What does the slope-intercept form of a line look like?

• x = my + b

• y = mx - b

• x = my - b

• y = mx + b

How can the equation of a line be used in making predictions?

• By changing the scale of the graph

• By drawing a new line of best fit

• By guessing the slope of the line

• By substituting values for x to find y

What is the significance of choosing an appropriate scale for a scatter plot?

• It makes the graph look more attractive

• It is only necessary for digital graphs

• It ensures accurate prediction using the line of best fit

• It changes the slope of the line

What does a positive correlation in a scatter plot indicate?

• The variables are inversely proportional

• There is no relationship between the variables

• As one variable increases, the other also increases

• As one variable increases, the other decreases

Why is it important not to use a broken interval on the axis of a scatter plot?

• It has no impact on the graph

• It is a requirement for all mathematical graphs

• It makes the graph easier to read

• It can mislead the interpretation of the data

How do you determine which variable is represented by x or y in a scatter plot?

• By the preference of the grapher

• By the context of the problem

• By the magnitude of the variables

• By the alphabetical order of variables

What is the purpose of using a straight edge when drawing a line of best fit?

• To ensure the line is perfectly horizontal

• To ensure the line is straight and accurately represents the data trend

• To make the graph look neat

• To measure the distance between points