Sum of Squares Square of Sum

Learn how to minimize the sum of squared error for regression line problems in stats. Whether you need help studying for that next big stats text or just a hand finishing your homework, you're sure to be well served by this four-part free video math lesson from Salman Khan. Pa ...more

Pythagoras was a smart man, so smart that his mathematical theory is named after him and still used today, more than 2,000 years later: the Pythagorean theorem. It implies that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two ...more

YAYMATH. This video is a demonstration of usage of the distance formula to find the distance between two given (x,y) points. In this video, the tutor guy who is teaching the distance formula to his students takes an example of two (x,y) points such as (5,-1) and (11,7). He the ...more

This video shows the method to write a logarithm as a sum or difference of logarithms. The square root of the term given is taken out as half according to the rule. Then the numerator and denominator is divided into product of factors. This is broken into the difference of num ...more

The Pythagorean theorem is a simple theorem that states that - for a right angled triangle the square of the length of the hypotenuse is equal to the sum of the squares of the length of the remaining two sides. In this video, a right angled triangle with three sides, namely a ...more

In this video the instructor talks about Pythagorean theorem and how to apply it to right triangles. Pythagorean theorem states that in any right triangle if a and b are the lengths of the legs and c is the length of the hypotenuse the sum of the squares of the lengths of the ...more

This video shows the method to find the variance and standard deviation using Excel. The variance shows the variability of the data points from the median. We find the difference of the median and the mean. We write the formula using '=' sign. The median and data points are pu ...more

Radicals are square roots which are not integers; the square roots of 2 or 3 are examples of radicals. The presenters show simple ways of how to add and subtract such radicals. They explain that by using the method of factoring, the addition or subtraction is made very easy. I ...more

In this video the instructor shows how to factor a general quadratic polynomial. Here the first step is to identify the coefficient of the squared term. Write the reciprocal of the numerical coefficient of the squared term out side and write two separate parenthesis which are ...more

In this video the instructor shows how to factor the difference of squares using a formula. The formula to find the difference of squares can only be applied if you have two perfect squares. The formula is (a * a - b * b) = (a - b) * (a + b). That is the difference of squares ...more

It doesn’t matter how long ago your last geometry class was, you can still impress your friends by finding a geometric mean. The geometric mean can be used to find the average of numbers with out unusually high or low results effecting the result. The geometric mean of two nu ...more

The first video explains the Method of Mathematical Induction. It also gives a background of Francesco Maurolico, Pascal and John Wallis. You'll see how to apply the Method of Induction to prove the sum of odd numbers is a square. Next, you'll prove Inequality using the Metho ...more

Exponent of a number is nothing but the number multiplied to it self the exponent number of times. So five squared it equal to five multiplied to it self. Now when an exponential number is divided with another such number the result is the number raised to the different of the ...more

In this math tutorial the instructor discusses the properties of a rhombus. He begins by saying that the properties of a rhombus are similar to the properties of a square. He says that the rhombus is a quadrilateral and hence the sum of internal angles of it is 360 degrees. He ...more

In this tutorial the instructor shows how to compute the area of irregular shapes. He demonstrates this with an example showing an irregular area and says that as there is no direct formula to calculate it, you need to break up the irregular area into identifiable simple geome ...more

Need to figure out the area of a trapezoid for a household project? Even if you just want to sound smart, there is a simple formula that can be used every time you need to find the area of a trapezoid. Try the formula and see how good you are at geometry. A trapezoid is a fou ...more