Exploring Scatter Plots and Line of Best Fit

What is the formula for calculating the slope of a line?

• x2 - x1 / y2 - y1

• y2 + y1 / x2 + x1

• x2 + x1 / y2 + y1

• y2 - y1 / x2 - x1

What does the slope of the line of best fit represent?

• The average value of the dataset

• The correlation between x and y values

• The maximum value in the dataset

• The minimum value in the dataset

How do you estimate the y-intercept in the line of best fit calculation?

• By using the point-slope form

• By multiplying the slope with x-coordinate

• By dividing the slope by the x-coordinate

• By adding the slope to the y-coordinate

What is the significance of the y-intercept in the line equation?

• It determines the spread of the data

• It indicates the starting point of the dataset

• It represents the value of y when x is zero

• It shows the maximum y value

What is the primary purpose of using a line of best fit in scatter plots?

• To predict unknown values within the dataset

• To create a more complex graph

• To increase the scatter among data points

• To reduce the size of the dataset

What is the purpose of using scatter plots?

• To display data in a hierarchical structure

• To show the relationship between two variables

• To represent data in a pie chart format

• To create a map of geographical data

How can the line of best fit be used in predictions?

• To find the median value of the dataset

• To determine the highest value of y

• To predict y values for given x values

• To calculate the total sum of all data points

What does the calculator use to find the line of best fit more accurately?

• Matrix multiplication

• Cubic regression

• Linear regression

• Quadratic regression

What is the difference between interpolation and extrapolation?

• There is no significant difference

• Interpolation predicts outside the dataset, extrapolation within

• Interpolation uses linear functions, extrapolation uses quadratic

• Interpolation predicts within the dataset, extrapolation outside

Which method is more accurate for finding the line of best fit?

• Using a graphing calculator

• Manual calculation

• Estimation by eye

• Using a standard calculator