How Fast Can You List Your Favorite Things? If you are asked to make a list of objects in a certain category, how fast you can list them follows a predictable pattern. For example, if you try to name as many vegetables as you can. you'll probably think of several right away— for example, carrots, peas, beans, com. and so on. Then after a pause you might think of ones you eat less frequently—perhaps zucchini, eggplant, and asparagus. Finally, a few more exotic vegetables might come to mind—artichokes, jicama, bok choy, and the like. A psychologist performs this experiment on a number of subjects. The table below gives the average number of vegetables that the subjects named by a given number of seconds.
- (a) Find the cubic polynomial that best fits the data
- (b) Draw a graph of the polynomial from part (a) together with a
scatter plot of the data. - (c) Use your result from part (b) to estimate the number of vegetables that subjects would be able to name in 40 s.
(d) According to the model, how long (to the nearest 0.1 s) would it take a person to name five vegetables?
Seconds | Number of vegetables |
1 | 2 |
2 | 6 |
5 | 10 |
10 | 12 |
15 | 14 |
20 | 15 |
25 | 18 |
30 | 21 |
Want to see the full answer?
Check out a sample textbook solutionChapter 3 Solutions
WebAssign Printed Access Card for Stewart/Redlin/Watson's Precalculus, Enhanced Edition, 7th Edition, Single-Term
- Give an example from your life using the phrase ‘at least’.arrow_forwardBroadway The ordered pairs below give the starting year and gross ticket sales S (in millions of dollars) for each Broadway season in New York City from 1997 through 2014. 1997,558 2003,771 2009,1020 1998,588 2004,769 2010,1081 1999,603 2005,862 2011,1139 2000,666 2006,939 2012,1139 2001,643 2007,938 2013,1269 2002,721 2008,943 2014,1365 (a) Use a graphing utility to create a scatter plot of the data. Let t=7 represent 1997. (b) Use the regression feature of the graphing utility to find the equation of the least squares regression line that fits the data. (c) Use the graphing utility to graph the scatter plot you created in part (a) and the model you found in part (b) in the same viewing window. How closely does the model represent the data? (d) Use the model to predict the gross ticket sales during the season starting in 2021. (e) Interpret the meaning of the slope of the linear model in the context of the problem.arrow_forwardA commuter must travel from Ajax to Barrie and back every day. Four roads join the two cities. The commuter likes to vary the trip as much as posible, so she alwaysleaves and returns by different roads. In how many different ways can she make the round-trip?arrow_forward
- Name the four parts of a mathematical system. HINT: See Section 1.3arrow_forwardThe name of your favorite team is an example of.... variablearrow_forwardA couple plans a trip to visit their friends Ann, Bob, Carla, Dana, Erica, Fred and George. Carla, Erica and George live close together, so they want to visit those three consecutively (in any order). In how many ways can they set up their itinerary?arrow_forward
- Dr. Stewart is a veterinarian who says only dogs and cats. In each appointment, she may or may not get the animal vaccine. The two way frequency table summarizes Dr. Stewart’s 80 appointment last weekarrow_forwardPlease explain each step as much as you can.arrow_forwardPlease take a screenshot of all the steps ******************************** Q 1 (a) Enter the following data into PSPP : STUDENT NAME DEPARTMENT COURSE MARKS Tommy 1 Computer Networks 75 John 2 Software Engineering 87 Anabell 1 Programming 94 Rose 2 Information Technology 50 Sarah 2 Software Engineering 72 Value=1 represents “CS” Value=2 represents “IT” Perform the following on the above data: Using the Descriptive analysis calculate the Sum, Mean, Mode and Standard deviation for Marks Do a Frequency analysis on the variable “Department” and create a Pie chart forarrow_forward
- Amy is playing an arcade bowling game. When she rolls a ball at the target, the ball will fall through one of three holes. Her score for the largest hole is 25 points, for the middle-sized hole is 40 points, and for the smallest hole is 50 points. Systematically list all the ways she can roll 4 balls and score 150 points or more.arrow_forwardDonna wants to grow corn on the farm she just bought. The previous farmer grew corn for several decades and kept detailed records of his crop production each year. These records include the amount of sunlight, the amount of rain, the average yield, and other such figures. In an effort to help Donna out, the previous farmer compares his records of using two popular fertilizers: Earthy and SunX. He pulls his records for the 7 seasons he used Earthy on his corn and the records for the 7 seasons that he used SunX on his corn. He uses these records to compare the average corn yield for the 7 seasons that he used Earthy to the average corn yield for the 7 seasons that he used SunX. If applicable, he will recommend the better fertilizer to Donna. (a)First choose whether the procedure described above is an observational study or a designed experiment. Then further categorize the procedure by choosing the correct type of observational study or designed experiment. Observational study Designed…arrow_forwardplease assist where the blank areas are on the table. Are there differences in airfare depending on which travel agency website you utilize? The following data were collected on travel agency websites on July , . The following table contains the prices in U.S. dollars for a one-way ticket between the cities listed on the left for each of the three travel agency websites. Here the pairs of cities are the blocks and the treatments are the different websites. data below in table: Websites Flight From ‒ To Expedia ($) TripAdvisor ($) Priceline ($) Atlanta to Seattle 176.00 166.00 175.80 New York to Los Angeles 195.00 195.00 206.20 Cleveland to Orlando 77.00 72.00 76.21 Dallas to Indianapolis 149.00 149.00 148.20 Use to test for any significant differences in the mean price of a one-way airline ticket for the three travel agency websites. If your…arrow_forward
- Algebra for College StudentsAlgebraISBN:9781285195780Author:Jerome E. Kaufmann, Karen L. SchwittersPublisher:Cengage LearningAlgebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw HillHolt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGALAlgebra and Trigonometry (MindTap Course List)AlgebraISBN:9781305071742Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage Learning