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4 Pages

### final_practice

Course: MATH 5500, Fall 2009
School: Kean
Rating:

Word Count: 387

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5500 05/05/2008 Please Math practice and check your answers with Excel outputs. 1) The following data were given: x 0 1 2 y 3 5 8 a) Draw a scatter diagram and make a initial judgement whether a linear regression model is a good model or not. b) Fit the data with a regression line, write the linear line equation when you finish the calculation. c) Find the correlation coefficient. d) Is this model a good fit?...

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5500 05/05/2008 Please Math practice and check your answers with Excel outputs. 1) The following data were given: x 0 1 2 y 3 5 8 a) Draw a scatter diagram and make a initial judgement whether a linear regression model is a good model or not. b) Fit the data with a regression line, write the linear line equation when you finish the calculation. c) Find the correlation coefficient. d) Is this model a good fit? Why or why not? Page 1 Math 5500 05/05/2008 Please practice and check your answers with Excel outputs. e) From the model that you derived, is the slope=0? Please test it. f) If a new observed x=4, what is the predicted y based on the above model that you derived? 2) If P(A)=0.4, (B)=0.5 and "A and B" are independent events, what is the probability of the following: a) P(A and B) b) P(B|A) c) P(A|B) Page 2 Math 5500 05/05/2008 Please practice and check your answers with Excel outputs. d) P(A or B) 3) If you do not reject the null hypothesis when the alternative hypothesis is correct, what type of error do you make? 4) Suppose the null hypothesis is < 0.85 and the alternative hypothesis is > 0.85. If n items are tested and it is concluded > that 0.85 when in fact < 0.85. What type of error is made? 5) The baggage weights for passengers measured in a domestic airline are normally distributed with a mean of 22 lb and a standard deviation of 4 lb. What is the probability that the total luggage of 100 passengers will exceed 2250 lb? Page 3 Math 5500 05/05/2008 Please practice and check your answers with Excel outputs. 6) In a survey of 120 off-campus students, 35 indicated they would prefer to live on campus if dorm housing were available. Give a point estimate and 90% confidence interval for the proportion of offcampus students who would prefer to live on campus. 7) In a study 20 mice were given a particular substance thought t...

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