2. When you give Excel a scatter plot, it can find the line that best fits the data. How does Excel do it? It uses a method called least squares regression. Suppose that the line equation you’re looking for is y = mx + b. The goal is to find m and b which minimizes the sum of the squares of the distances between the points in the data set and the corresponding point on the line. (a) Let (x1, y1) be a point in your data set. What is the square of the distance between this point and the point on the line y = mx + b which has the same x coordinate? (Hint: Use Pythagoras)

What is the lcm of 16 and 40 ? 24 and 40 ?

Assume that there is a 11% rate of disk drive failure in a year. a. if all your computer data is stored on a hard disk drive with a copy stored on a second hard disk drive, what is the probability that during a year, you can avoid catastrophe with at least one working drive? b. if copies of all your computer data are stored on four independent hard disk drives, what is the probability that during a year, you can avoid catastrophe with at least one working drive?

Lian is deciding which of two gyms to join. each gym charges a monthly rate plus a one-time membership fee. lian correctly wrote and solved a system of linear equations by substitution to compare the costs of the memberships. in her work, she substituted an expression for one variable and solved for the other. this resulted in the equation 75 = 75. what can lian conclude? one gym charges $75 per month. each gym charges $75 per month both gyms charge the same monthly rate and the same membership fee. both gyms charge the same monthly rate, but not the same membership fee.