Pre-Algebra, Unit 8 Practice Test: Investigate Patterns of Association in Bivariate Data (Scatter Plots and Two-Way Tables)

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1 Name: Date: Pre-Algebra, Unit 8 Practice Test: Investigate Patterns of Association in Bivariate Data (Scatter Plots and Two-Wa Tables). Define bivariate data.. Define relative frequenc.. (a) Define and give an eample of quantitative data, also called (numerical or categorical). (b) Define and give an eample of qualitative data also called (numerical or categorical).. When analzing bivariate data with quantitative variables, we usuall organize the data in a. If both variables are qualitative, we usuall organize the data in a. 5. Describe how to determine if a scatter plot: a. Has a positive, negative, or no correlation? b. Is classified as linear or nonlinear? c. Has a correlation strength that is weak, moderate, or strong? 6. Describe how to draw the line of best fit for a scatter plot. Pre-Algebra Practice Test Unit 8: Investigate Patterns of Association in Bivariate Data Page of 5 Revised 05 - NVACS

2 7. (SE) Would ou epect a positive association, a negative association, or no association between the data sets listed below? a. number of tet messages ou send each month and our monthl cell phone bills b. people s ages and the number of pets the own c. number of times ou brush our teeth and the number of cavities ou get 8. Sketch a scatter plot in each of the four graphs below to show the following associations: a. negative linear b. positive nonlinear c. positive linear d. no association 9. The table shows the depth of a river for several months after the rain season ended. Month Depth in feet A) Make a scatter plot of the data. Draw a line of best fit. B) What tpe of association is shown on this scatter plot? C) Write an equation for the line of best fit. Show our work. Depth (feet) River Depth D) Interpret the slope and -intercept of the trend line Month E) Predict the depth in month 0. Show our work. F) Is our answer in part E an eample of etrapolation or interpolation? Pre-Algebra Practice Test Unit 8: Investigate Patterns of Association in Bivariate Data Page of 5 Revised 05 - NVACS

3 0. (SE) Choose the graph below that shows a strong positive association between and. A. B.. (SE) The scatter plot shows a person s age in ears compared to their heart rate. How should the slope and -intercept be interpreted? C. D.. (SE) Which equation most accuratel describes the line of best fit for the data shown in the scatter plot? (A) = + (B) = + (C) = + (D) = + (A) The slope of means that heart rate decreases two beats ever minute for ever ear that ou age. The -intercept is 0 which is the heart rate of a newborn bab. (B) The slope of means that heart rate decreases one-half beat ever minute for ever ear that ou age. The -intercept is 0 which is the heart rate of a newborn bab. (C) The slope of means that heart rate decreases two beats ever minute for ever ear that ou age. The -intercept is 0 which is the heart rate of a newborn bab. (D) The slope of means that heart rate decreases one-half beat ever minute for ever ear that ou age. The -intercept is 0 which is the heart rate of a newborn bab. Pre-Algebra Practice Test Unit 8: Investigate Patterns of Association in Bivariate Data Page of 5 Revised 05 - NVACS

4 Problems -5: Divers reported the pressure at various depths underwater. A scatter plot of their data is shown.. Using the trend line, what is the pressure (psi) at 0 feet? A. 5 B. 0 C. 5 D. 50. Which equation would best represent the trend line? A. = + 5 B. = C. = D. =.5 Pressure (psi) 5. Using the equation for the trend line, estimate the pressure (psi) at 00 feet. A. 5 B. 65 C. 00 D Depth (feet) 6. Sit British students each visited one foreign countr last week. Fifteen percent of the students visited Spain of these fifteen percent, one-third of the students were female. France German Spain Female 0 Male a) Complete the two-wa table b filling in all the empt cells. b) Given that the student is from the group of sit British students, what is the relative frequenc that a student is male and visited German? (Write our answer as a simplified fraction and as a percent.) c) Given that the student is male and from the group of sit British students, what is the relative frequenc that he visited German,? (Write our answer as a simplified fraction and as a percent.) fraction percent fraction percent 7. (SE) A total of 00 people were asked which the preferred, cand or trail mi. Of the 00 people, 0 were male. Trail mi was preferred b 5 females; cand was preferred b 70 males. Which two wa table represents this poll? A. Preferred Preferred Trail Mi Cand Male Female C. Preferred Preferred Trail Mi Cand Male Female B. Preferred Preferred Trail Mi Cand Male Female D. Preferred Preferred Trail Mi Cand Male Female Pre-Algebra Practice Test Unit 8: Investigate Patterns of Association in Bivariate Data Page of 5 Revised 05 - NVACS

5 8. (SE) During a surve students at a middle school were asked whether or not the ride the bus to school. The results are shown in the table. 6 th 7 th 8 th Approimatel what percentage of the 8 th Grade Grade Grade graders surveed ride the bus? Ride Bus (A) 0% (B) % Does Not Ride Bus (C) 0% (D) 5% 9. (SBAC) During a surve fifteen 8th graders were asked whether the regularl drink water or soda at lunch. The results are shown in the table to the right. Part A Use the results of the surve to complete the twowa table below: Gender Lunch Drink Male Female Water Soda Part B State whether the results of the surve provide evidence that male students prefer soda. Eplain our answer. Student Gender Lunch Drink Male Female Water Soda A B C D E F G H I J K L M N O Long Term Memor Review 0. Solve the linear sstem algebraicall. Show our work. = + = 8 Pre-Algebra Practice Test Unit 8: Investigate Patterns of Association in Bivariate Data Page 5 of 5 Revised 05 - NVACS