Understanding the Line of Best Fit

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

• To represent the trend in the data

• To highlight the highest data point

• To show the average of the data points

• To connect all the data points

Which form is used to find the equation of the line of best fit?

• Quadratic form

• Logarithmic form

• Exponential form

• Slope-intercept form

How do you calculate the slope of a line from two points?

• Divide the difference in y-coordinates by the difference in x-coordinates

• Multiply the x-coordinates by the y-coordinates

• Add the x-coordinates and y-coordinates

• Subtract the x-coordinates from the y-coordinates

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

• The point where the line crosses the x-axis

• The average of all data points

• The slope of the line

• The point where the line crosses the y-axis

If x equals 11, what is the predicted y-value using the equation y = -0.5x + 7?

• 7.5

• 5.5

• 1.5

• 11.5

In the context of the new scatter plot, what does the x-axis represent?

• Hours of homework done

• Number of students

• Test grades

• Days of the week

What is the slope of the line in the new scatter plot with test grades and homework hours?

• 2

• 3

• 4

• 5

Using the equation y = 5x + 35, what is the predicted test score for 4 hours of homework?

• 60

• 50

• 45

• 55

What does the line of best fit suggest about the relationship between homework hours and test scores?

• Test scores are independent of homework hours

• More homework leads to lower test scores

• There is no relationship

• More homework leads to higher test scores

What is the y-intercept of the equation y = 5x + 35?

• 50

• 35

• 70

• 5