Arithmetic Mean and Transfer Student
Final Exam Review Questions You should work each of the following on your own, then review the solutions guide. DO NOT look at the solutions guide first. 1. Explain the difference between a population and a sample. In which of these is it important to distinguish between the two in order to use the correct formula? mean; median; mode; range; quartiles; variance; standard deviation. 2. The following numbers represent the weights in pounds of six 7year old children in Mrs. Jones' 2nd grade class. {25, 60, 51, 47, 49, 45} Find the mean; median; mode; range; quartiles; variance; standard deviation. 3. If the variance is 846, what is the standard deviation? 4. If we have the following data 34, 38, 22, 21, 29, 37, 40, 41, 22, 20, 49, 47, 20, 31, 34, 66 Draw a stem and leaf. Discuss the shape of the distribution. 5. What type of relationship is shown by this scatter plot?
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6. What values can r take in linear regression? Select 4 values in this interval and describe how they would be interpreted.
7. Does correlation imply causation? 8. What do we call the r value. 9. To predict the annual rice yield in pounds we use the equation ˆ y = 859 + 5.76 x1 + 3.82 x2 , where x1 represents the number of acres planted (in thousands) and where x2 represents the number of acres harvested (in thousands) and where r2 = .94. a) Predict the annual yield when 3200 acres are planted and 3000 are harvested. b) Interpret the results of this r2 value. c) What do we call the r2 value? 10. The Student Services office did a survey of 500 students in which they asked if the student is part-time or full-time. Another question asked whether the student was a transfer student. The results follow. Transfer Non-Transfer Row Totals Part-Time Full-Time 100 170 110 120 230 210 290 500
Column Totals 270
a) If a student is selected at random (from this group of 500 students), find the probability that the student is a transfer student. P (Transfer) b) If
45 40 35 30 25 20 15 10 5 0 0 5 10 15 20
6. What values can r take in linear regression? Select 4 values in this interval and describe how they would be interpreted.
7. Does correlation imply causation? 8. What do we call the r value. 9. To predict the annual rice yield in pounds we use the equation ˆ y = 859 + 5.76 x1 + 3.82 x2 , where x1 represents the number of acres planted (in thousands) and where x2 represents the number of acres harvested (in thousands) and where r2 = .94. a) Predict the annual yield when 3200 acres are planted and 3000 are harvested. b) Interpret the results of this r2 value. c) What do we call the r2 value? 10. The Student Services office did a survey of 500 students in which they asked if the student is part-time or full-time. Another question asked whether the student was a transfer student. The results follow. Transfer Non-Transfer Row Totals Part-Time Full-Time 100 170 110 120 230 210 290 500
Column Totals 270
a) If a student is selected at random (from this group of 500 students), find the probability that the student is a transfer student. P (Transfer) b) If