To find the equation for the line of best fit between GPA and SAT scores, use linear regression to calculate the slope and y-intercept. Then, write the equation in y = mx + b form.
To find the equation for the line of best fit between GPA (y) and SAT scores (x), we can use linear regression. Here are the steps:
Organize the data into two columns: x (SAT math scores) and y (GPAs).
Calculate the mean (average) of x and y.
Calculate the differences (x - mean of x) and (y - mean of y) for each data point.
Calculate the product of the differences for each data point: (x - mean of x) * (y - mean of y).
Calculate the square of the differences for each data point: (x - mean of x)^2.
Sum up all the products of differences and divide by the sum of the squares of differences to find the slope of the line of best fit.
Use the slope and the means of x and y to calculate the y-intercept of the line of best fit.
Write the equation of the line of best fit in the form y = mx + b, where m is the slope and b is the y-intercept.
By following these steps, you can find the equation for the line of best fit between GPA and SAT scores.