Exploring Scatter Plots and Lines of Best Fit

What does a positive correlation in a scatter plot indicate?

• No relationship between X and Y

• Random distribution of data points

• As X increases, Y also increases

• As X increases, Y decreases

How do you determine the line of best fit in a scatter plot?

• By connecting the highest and lowest points on the graph

• By estimating a line that divides the plot area in half

• By drawing a line that connects all data points

• By finding a line that goes through the majority of points, balancing the distances

What is the slope of a line that represents a positive correlation?

• Zero

• Negative

• Undefined

• Positive

How is the slope of a line calculated?

• (Y1 - Y2) / (X2 - X1)

• (Y2 - Y1) / (X2 - X1)

• X2 - X1 / Y2 - Y1

• (Y2 - Y1) / (X1 - X2)

What does the 'm' in the line equation 'y = mx + b' represent?

• The correlation coefficient

• The slope

• The x-intercept

• The y-intercept

In a negative correlation, what happens to Y when X increases?

• Y fluctuates randomly

• Y decreases

• Y remains constant

• Y increases

What does a scatter plot with no correlation look like?

• Data points form a straight line

• Data points are concentrated in one area

• Data points form a perfect circle

• Data points are randomly distributed

Which of the following is an example of a negative correlation?

• Height and weight of individuals

• Number of hours studied and test scores

• Temperature and ice cream sales

• Speed of a car and fuel efficiency

What is the equation of a horizontal line?

• x = 0

• y = b

• y = mx + b

• x = y + b

What is the y-intercept in the equation 'y = mx + b'?

• The correlation coefficient of the line

• The point where the line crosses the X-axis

• The point where the line crosses the Y-axis

• The slope of the line