19) The data below are the final exam scores of 10 randomly selected statistics

Question

19) The data below are the final exam scores of 10 randomly selected statistics students and the number 19 of hours they studied for the exam. What is the best predicted value for y given x = 2? Assume that the variables x and y have a significant correlation. Hours, x 1315|218 |21414 15161 3 Scores, y |658060 88 66 78 85 90190 71 A) 66 B) 64 C) 65 D) 67 20. There are 10 students in a statistics class. a) In how many different ways can the Ist, 2nd, and 3rd prize can be given in a class? b) How many different ways a 3-person committee can be formed? BONUS :Four students drive to school in the same car. The students claim they were late to school and missed a test because of a flat tire. On the makeup test, the instructor asks the students to identify the tire that went flat; front driver's side, front passenger's side, rear driver's side, or rear passenger's side. If the students didn't really have a flat tire and each randomly selects a tire, what is the probability that all four students select the same tire? 20) B) of A) D) 256

Explanation / Answer

Ans:

19)

slope,b=r*sy/sx

Regression eqn:

y=a+bx

y=56.114+5.044x

when x=2

y=56.114+5.044*2=66.2

Option A is correct.

20)a)10*9*8=720

b)number of ways a 3 member commite can be formed=10C3=(10*9*8/3*2*1)=720/6=120

x y 1 3 65 2 5 80 3 2 60 4 8 88 5 2 66 6 4 78 7 4 85 8 5 90 9 6 90 10 3 71 Mean= 4.2 77.3 std dev= 1.87 11.17 Corr. Coff.r= 0.847 slope,b= 5.044 y-intercept,a= 56.114

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