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Expert: - 1/15/2009


Question
x 20 25 30 35 45 55 65
y 40 30 20 10 10 8 5
let x represent the age in yrs of a licensed driver, and y reprsent the percentage of all accident for a given age due to speeding.
(a) determine the coefficient of determination,r
(b) write the equation of the least square line.
(c) predict the percentage of all accidents due to speeding for a 22yr old driver

Answer
b) To find the equation for the line, find N, Σx, Σx², Σy, and Σxy.
Solve the matrix
N*a1 + Σx * a2 = Σy
Σx*a1 + Σx² * a2 = Σxy
where Σx and Σy are the sum of x and y, respectively,
Σx² is the sum of the x squared, and
Σxy is the sum of each x by the coresspoinding y.

The equation of the least square line is
y = a2*x + a1.

now back to a) I believe that a2 is the coefficient of determination.

c) Once the line has been found, put in 22 for x.

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Scott A Wilson

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I can answer any question in general math, arithetic, discret math, algebra, box problems, geometry, filling a tank with water, trigonometry, pre-calculus, linear algebra, complex mathematics, probability, statistics, and most of anything else that relates to math. I can even tell you it takes me over 2,000 steps to go a mile, but is that relevant?

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Experience in the area; I have tutored people in the above areas of mathematics for almost two years in AllExperts.com. I have tutored people here and there in mathematics since before I received a BS degree almost 25 years ago. In just two more years, I received an MS degree as well, but more on that later. I tutored at OSU in the math center for all six years I was there. Most students offering assistance were juniors, seniors, or graduate students. I was allowed to tutor as a freshman. I tutored at Mathnasium for well over a year. I worked at The Boeing Company for over 5 years. I received an MS degreee in Mathematics from Oregon State Univeristy. The classes I took were over 100 hours of upper division credits in mathematical courses such as calculus, statistics, probabilty, linear algrebra, powers, linear regression, matrices, and more. I graduated with honors in both my BS and MS degrees. Past/Present Clients: College Students at Oregon State University, various math people since college, over 7,500 people on the PC from the US and rest the world.

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My master's paper was published in the OSU journal. The subject of it was Numerical Analysis used in shock waves and rarefaction fans. It dealt with discontinuities that arose over time. They were solved using the Leap Frog method. That method was used and improvements of it were shown. The improvements were by Enquist-Osher, Godunov, and Lax-Wendroff.

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Master of Science at OSU with high honors in mathematics. Bachelor of Science at OSU with high honors in mathematical sciences. This degree involved mathematics, statistics, and computer science. I also took sophmore level physics and chemistry while I was attending college. On the side I took raquetball, but that's still not relevant.

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I earned high honors in both my BS degree and MS degree from Oregon State. I was in near the top in most of my classes. In several classes in mathematics, I was first. In a class of over 100 students, I was always one of the first ones to complete the test. I graduated with well over 50 credits in upper division mathematics.

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