The fossil of an archaeopteryx has a femur length of 65 cm. Use the equation of

Question

The fossil of an archaeopteryx has a femur length of 65 cm. Use the equation of the least-squares regression line y = -4 + 3x (where y is the humerus length, and x is the femur length) to predict the humerus length of the archaeopteryx. 10. If a gallon of gasoline in 1993 cost $1, and a gallon of gasoline in 2014 cost $2.50, what is the gasoline price index number for 2014 (base period 1993)? 11. The Jones family had a household income of 20,000 in 1980, when the average CPI was 80. The average CPI for 2014 was 210. How much must the Joneses cam in 2014 to have the same buying power they had in 1980? Basic rules of probability you should know for this exam (i) Any probability is a number between 0 and 1: 0 lessthanorequalto Pr(E) lessthanorequalto 1. (ii) The total of all possible outcomes must have probability 1. (iii) If two events have no outcomes in common, the probability that one or the other occurs is the sum of their individual probabilities: Pr(E_1 E_2) = Pr(E_1) + Pr(E_2). (iv) If two events are independent of each other, the probability that both events occurring is the product of their individual probabilities: Pr(E_1 E_2) = Pr(E_1) middot Pr(E_2). 13. You roll three 4-sidcd balanced dice. (i) What is the probability that the sum of the dice roll is 5? (ii) What is the probability that the sum of the dice roll is 3? (iii) What is the probability that the sum of the dice roll is either a 5 or a 3? 14. Suppose there are exactly three outcomes A, B, and C. If Pr(A) = 0.5 and Pr(B) = 0.3 then what is Pr(C)?

Explanation / Answer

9) from above :

predicted humerus length =-4+3*65=191

11)earning to match CPI =20000*210/80=52500

14)P(C)=1-P(A)-P(B) =1-0.5-0.3=0.2

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