Algebra 1 - Final Exam Review (AKS A.24-B.33)

This table shows the average low temperature, in ºF, recorded in Macon, GA, and Charlotte, NC, over asix-day period. Determine whether each statement is True or False.You must type a capital T (for True) or a capital F (for False) in order for your answers to be scored correctly. F T F T T Consider the following data: Set 1: 1, -4, 5, 0, 12 Set 2: 10, 6, 2, 1, 17Which of the following statements are true? I. Set 2 has a larger range than Set 1. II. Set 1 has a smaller median than Set 2. III. Adding a data point of 0 to Set 2 will not affect the set's range. I only I and II II and III I, II, and III The box plots show the length of cell phone calls made by three students during one week.Which of the following statement(s) are true? Select all that apply. All of Nikki’s calls were longer than all of Paula’s calls. Paula made the fewest number of calls. The interquartile range of Mario’s calls was roughly 30 minutes. The median length of Mario’s calls is equal to the median length of Nikki’s calls. The heart rates for 22 patients in a health study were recorded, in beats per minute, before and aftercompleting a light workout. The results are displayed in the dot plots.Which statement is true about the data? The median of the heart rates before exercise is greater than after exercise. The heart rates before exercise are skewed, but after exercise they are symmetrical. The mean of the heart rates increases after exercise, but the spread remains the same. The heart rates are more consistent (or more uniform) before exercise than after exercise. A group of students were surveyed to see which subject they liked the best.Match the scenario with the correct answer. Answers may be used once or not at all. This many students like Math and Science. 193 This percentage of students likes Language Arts 22% The percentage of students that are boys who like Social Studies 11% This is the probability that a girl likes math 17% What is the probability that a student likes Language Arts, given that the student is a girl? 23% What is the probability that a student likes math, given that the student is a boy? 27% What is the probability that a student is a girl, given that the student likes Science? 37% What is the probability that a student is a boy, given that the student likes Math? 44% How many girls like Social Studies? 45 League (NFL) teams to their total yards of offense and their turnover differential for the past season. A line of best fit is drawn on each scatter plot.For a team who had 6,500 yards of offense, how many wins would you expect the team to have? 12 11 15 8 What is a correct interpretation of the slope for the line of best fit, y = 0.0027x – 7.187 on the Wins vs. Total Yards of Offense scatter plot? The average team gained 270 yards of offense in each win last season. For every 2,700 more total yards of offense a team had, it correlated to 1 more win in the season. The average team won about 7.2 games last season. For every 1,000 more total yards of offense a team had, it correlated to 2.7 more wins in the season. Eric analyzes the fit of a linear model for a given data set. He finds that one of the data points (the one witha red circle) has a residual of zero. Which of the following is the best interpretation of this? The model predicts a smaller y-value than was observed for this data point. The model predicts the same y-value as was observed for this data point. The model predicts a larger y-value than was observed for this data point. The model is unreliable for predicting the y-value for this data point. Which of the following equations best fits the data in the table below?HINT! Enter the data into Lists, L1 and L2 in the STAT menu of your graphing calculator. Then use the regression feature in theSTAT →CALC menu : either option 4: linear regression; option 5: quadratic regression; or option 0: exponential regression. The scatter plots show the quiz scores and exam scores from a random sample of statistics students. A quadratic model for the data is shown on the left and an exponential model for the data is shown on the right.Which function best models the relationship between quiz scores and exam scores? Mr. Carson notices that when he puts out more bird seed, more birds tend to visit his back yard. To further understand this relationship, he records the amount of bird seed he puts out and the number of birds that visit each day.He finds that the two variables have a positive linear relationship, which is best modeled by y = 2.1x + 3.7, where y is the number of birds that visit his yard, and x is the number of cups of bird seed placed in the feeder.According to the model, how many birds will visit if Mr. Carson forgot to put bird seed in the feeder? Approximately 2 birds Approximately 4 birds Approximately 5 birds Approximately 6 birds A gaming website collects data from different online retailers about the price of video games, P, months after their release, M.They are able to collect data for games that have been recently released, (M = 0 ) up through games that were released one year ago (M = 12 ).For this time-span, the data follows a linear pattern. A linear regression analysis finds that the best model for the data is P= 46.95 – 2.89M .What is the best interpretation of 46.95 in this model? the predicted price for a game that has just been released the lowest observed price for a game that has just been released the predicted price for a game about 2.89 months after it has been released the lowest observed price for any game 2.89 months after it has been released What type of function is modeled by the table? Exponential Linear Quadratic Geometric Which equation best models the data? Select ALL that apply. The x-coordinate of the vertex of f(x) is greater than the x-coordinate of the vertex of g(x). The y-coordinate of the vertex of f(x) is less than the y-coordinate of the vertex of g(x). The y-intercept of g(x) is greater than the y-intercept of f(x). The y-intercept of f(x) is -4. A ball was thrown upward into the air. The height, in feet, of the ball above the ground t seconds after being thrown can be determined by the expression,h = –16t2 + 40t + 5. What is the meaning of the 5 in the expression? What is the meaning of the 40? 5 is the initial height of the ball and 40 is the velocity 5 is the velocity and the 40 is the initial height of the ball 40 is the velocity and 5 is the number of seconds it takes the ball to hit the ground 40 is the number of seconds the ball is in the air and 5 is the initial height of the ball