Understanding Linear Regression

What is the primary focus of regression in this tutorial?

• Finding the median of data

• Fitting a line or curve to data

• Determining the mode of data

• Calculating the mean of data

What is the significance of the equation y = mx + C in linear regression?

• It describes a linear relationship

• It is used to calculate the mean

• It is used to find the median

• It represents a quadratic equation

Which method of linear regression involves using visual estimation?

• Three median method

• By eye

• Quadratic regression

• Least squares regression line

Which method is NOT mentioned as a way to perform linear regression?

• Least squares regression line

• By eye

• Three median method

• Polynomial regression

When plotting a regression line by eye, what is a key consideration?

• Ensuring all points are above the line

• Balancing the number of points above and below the line

• Maximizing the distance from the line to the points

• Minimizing the number of points on the line

How can the gradient of a line be determined?

• By finding the average of y-coordinates

• By using the rise over run method

• By subtracting the smallest x-coordinate from the largest

• By calculating the sum of x-coordinates

What is the y-intercept of a line?

• The highest point on the line

• The point where the line crosses the y-axis

• The point where the line crosses the x-axis

• The lowest point on the line

In the context of linear regression, what does a negative gradient indicate?

• The line is horizontal

• The line is vertical

• The line slopes upwards

• The line slopes downwards

What is the result of simplifying the fraction -4/6?

• -1/3

• -3/4

• -1/2

• -2/3

How can the equation of a line be expressed if the gradient is -1/12?

• y = -x/12 + C

• y = x/12 + C

• y = 12x + C

• y = -12x + C