We learned at the outset of the semester some differences between Variance and Standard Deviation. One important difference is that variances (of independent variables) can be effectively added together to yield new information about the combination, while standard deviations cannot. We’re used to taking the square root of the Variance to get the Standard Deviation, although in ANOVA we don’t do that. Instead, we apply a Degree of Freedom to find a Mean Squared.

Discuss how and where the adding of Variance concept is being used in the ANOVA technique, and then discuss what is being described by the Mean Squares being calculated.

Issof claims that the scale factor is 1/2. which statement about his claim is correct

Hurry if the population of of an ant hill doubles every 10 days and there are currently 100 ants living in the ant hill what will the ant population be in 20 days

Given: ad¯¯¯¯¯ is an altitude. prove: ab2+ac2=cb2 right triangle a b c with right angle a. point d lies on side b c and segment a d is drawn. angle a d c is a right angle. drag and drop a reason into each box to correctly complete the two-column proof. statement reason ad¯¯¯¯¯ is an altitude, and ∠bac is a right angle. given ∠adb and ∠adc are right angles. definition of altitude ∠bac≅∠bda ? ∠bac≅∠adc ? ∠b≅∠b ? ∠c≅∠c reflexive property of congruence △abc∼△dba ? △abc∼△dac aa similarity postulate abbd=cbab ? ab2=(cb)(bd) cross multiply and simplify. acdc=cbac polygon similarity postulate ac2=(cb)(dc) cross multiply and simplify. ab2+ac2=ab2+(cb)(dc) addition property of equality ab2+ac2=(cb)(bd)+(cb)(dc) substitution property of equality ab2+ac2=(cb)(bd+dc) ? bd+dc=cb segment addition postulate ab2+ac2=cb2 substitution property of equality