Finite Mathematics & Its Applications (12th Edition)
12th Edition
ISBN: 9780134437767
Author: Larry J. Goldstein, David I. Schneider, Martha J. Siegel, Steven Hair
Publisher: PEARSON
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Chapter 7.5, Problem 27E
(a)
To determine
To calculate: The population mean and the standard deviation of the number of degrees awarded each year at each university for the following frequency distribution table:
University A |
University B |
Number of degree Number of years |
Number of degree Number of years |
3 5 |
3 5 |
4 7 |
4 10 |
5 8 |
5 3 |
6 2 |
6 3 |
7 1 |
7 0 |
8 2 |
8 4 |
(b)
To determine
The University producing more degrees per year on average. University A has mean of the number of degrees awarded at the end of each year is 4.72 and University B has mean of the number of degrees awarded at the end of each year is 4.8.
(c)
To determine
The University producing more consistent numbers of degrees per year. University A has the variance of 1.96 and that of University B is 2.72.
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Chapter 7 Solutions
Finite Mathematics & Its Applications (12th Edition)
Ch. 7.1 - Suppose that a list consists of 17 numbers in...Ch. 7.1 - Prob. 2CYUCh. 7.1 - Prob. 3CYUCh. 7.1 - In Exercise 1–4, display the data in a bar chart...Ch. 7.1 - In Exercise 1–4, display the data in a bar chart...Ch. 7.1 - In Exercise 1–4, display the data in a bar chart...Ch. 7.1 - In Exercise 1–4, display the data in a bar chart...Ch. 7.1 - 5. School Enrollments Display the data from the...Ch. 7.1 - 6. U.S. Defense Employees Display the data from...Ch. 7.1 - 7. Interest on Public Debt In 2015, the interest...
Ch. 7.1 - 8. U.S. Defense Employees Display the data from...Ch. 7.1 - Great Lakes Display the data from the table in...Ch. 7.1 - Bachelors Degrees Display the data from the table...Ch. 7.1 - Freshman Aspirations Exercises 11 and 12 refer to...Ch. 7.1 - Freshman Aspirations Exercises 11 and 12 refer to...Ch. 7.1 - 13. Vice Presidential Tie Breakers The number of...Ch. 7.1 - 14. Presidential Ages The ages at inauguration of...Ch. 7.1 - Quiz Scores The bar charts in Exercises 15 and 16...Ch. 7.1 - Quiz Scores The bar charts in Exercises 15 and 16...Ch. 7.1 - In Exercises 17 and 18, draw the box plot...Ch. 7.1 - In Exercises 17 and 18, draw the box plot...Ch. 7.1 - In Exercises 19–22, find the five-number summary...Ch. 7.1 - In Exercises 1922, find the five-number summary...Ch. 7.1 - Prob. 21ECh. 7.1 - Prob. 22ECh. 7.1 - 23. Match each of the histograms in column I with...Ch. 7.1 - Food Cost The box plot for the price (in cents) of...Ch. 7.1 - Prob. 25ECh. 7.1 - Prob. 26ECh. 7.1 - Batting Averages On April 16, 2016, the Toronto...Ch. 7.1 - In Exercises 28–31, use technology to produce...Ch. 7.1 - Prob. 29ECh. 7.1 - Prob. 30ECh. 7.1 - In Exercises 28–31, use technology to produce...Ch. 7.2 - 1. Carnival Game In a certain carnival game, a...Ch. 7.2 - Carnival Game Refer to the carnival game of...Ch. 7.2 - 1. Final Grades Table 11 gives the frequency...Ch. 7.2 - 2. Gas Queue The number of cars waiting to be...Ch. 7.2 - Weather Reports A local news website counted the...Ch. 7.2 - Production Level A production manager counted the...Ch. 7.2 - Coin Tosses A fair coin is tossed three times, and...Ch. 7.2 - 6. Archery An archer can hit the bull’s-eye of the...Ch. 7.2 - 7. Selecting Balls from an Urn An urn contains...Ch. 7.2 - 8. Rolling a Die A die is rolled, and the number...Ch. 7.2 - Carnival Game In a certain carnival game, the...Ch. 7.2 - 10. Carnival Game In a certain carnival game, a...Ch. 7.2 - 11. Figure 9 is the histogram for a probability...Ch. 7.2 - Figure 10 on the next page is the histogram for a...Ch. 7.2 - Let the random variables X and Y have the...Ch. 7.2 - Let the random variables X and Y have the...Ch. 7.2 - Let the random variables X and Y have the...Ch. 7.2 - Let the random variables X and Y have the...Ch. 7.2 - Let the random variables X and Y have the...Ch. 7.2 - Let the random variables X and Y have the...Ch. 7.2 - Let the random variables X and Y have the...Ch. 7.2 - Let the random variables X and Y have the...Ch. 7.2 - 21. Grade Distributions Two classes take the same...Ch. 7.2 - 22. Grade Distributions Use Table 16 to answer the...Ch. 7.2 - Exercises 23–26 refer to the tables and relative...Ch. 7.2 - Exercises 2326 refer to the tables and relative...Ch. 7.2 - Exercises 2326 refer to the tables and relative...Ch. 7.2 - Exercises 23–26 refer to the tables and relative...Ch. 7.2 - 27. Table 17 gives the probability distribution of...Ch. 7.2 - Table 18 gives the probability distribution of the...Ch. 7.2 - Table 19 gives the probability distribution of the...Ch. 7.2 - Prob. 30ECh. 7.3 - A number is selected at random from the numbers 0...Ch. 7.3 - 2. If the experiment in Problem 1 is repeated 20...Ch. 7.3 - Prob. 3CYUCh. 7.3 - In Exercises 14, calculate (kn)pkqnk for the given...Ch. 7.3 - In Exercises 1–4, calculate for the given values...Ch. 7.3 - In Exercises 14, calculate (kn)pkqnk for the given...Ch. 7.3 - In Exercises 1–4, calculate for the given values...Ch. 7.3 - Coin Tosses A coin is tossed 10 times. In...Ch. 7.3 - Coin Tosses A coin is tossed 10 times. In...Ch. 7.3 - Coin Tosses A coin is tossed 10 times. In...Ch. 7.3 - Coin Tosses A coin is tossed 10 times. In...Ch. 7.3 - Coin Tosses A coin is tossed 10 times. In...Ch. 7.3 - Coin Tosses A coin is tossed 10 times. In...Ch. 7.3 - Rolling a Die A single die is rolled four times....Ch. 7.3 - Rolling a Die A single die is rolled four times....Ch. 7.3 - Rolling a Die A single die is rolled four times....Ch. 7.3 - Rolling a Die A single die is rolled four times....Ch. 7.3 - Rolling a Die A single die is rolled four times....Ch. 7.3 - Rolling a Die A single die is rolled four times....Ch. 7.3 - Twenty-Somethings Fourteen percent of U.S....Ch. 7.3 - Twenty-Somethings Fourteen percent of U.S....Ch. 7.3 - Twenty-Somethings Fourteen percent of U.S....Ch. 7.3 - Twenty-Somethings Fourteen percent of U.S....Ch. 7.3 - Twenty-Somethings Fourteen percent of U.S....Ch. 7.3 - Twenty-Somethings Fourteen percent of U.S....Ch. 7.3 - Career Training According to the study The...Ch. 7.3 - Prob. 24ECh. 7.3 - Career Training According to the study The...Ch. 7.3 - Career Training According to the study The...Ch. 7.3 - 27. Children A family chosen at random has four...Ch. 7.3 - 28. New Employees A manager at a call center...Ch. 7.3 - College Acceptances Exercises 29 and 30 refer to...Ch. 7.3 - Prob. 30ECh. 7.3 - Prob. 31ECh. 7.3 - Veterinary Medicine Exercises 31 and 32 refer to...Ch. 7.3 - Car Sales An automotive salesman determines that...Ch. 7.3 - 34. Insurance Claims A homeowner’s insurance...Ch. 7.3 - Coin Tosses When a coin is tossed 100 times, the...Ch. 7.3 - Rolling Dice When a die is rolled 10 times, the...Ch. 7.3 - Figure 6 shows the histogram for a binomial random...Ch. 7.3 - 38. Figure 7 shows the histogram for a binomial...Ch. 7.3 - Prob. 39ECh. 7.3 - Prob. 40ECh. 7.3 - Centenarians The probability that a 20-year-old...Ch. 7.3 - 42. Left-handedness Ten percent of the population...Ch. 7.3 - 43. Drug Reaction Suppose that the probability of...Ch. 7.3 - Prob. 44ECh. 7.3 - Voter Polling Suppose that 60% of the voters in a...Ch. 7.3 - Jury Verdict A jury has 12 jurors. A vote of at...Ch. 7.3 - Quality Control Three percent of the circuit...Ch. 7.3 - Quality Control Refer to Example 1. What is the...Ch. 7.3 - Genetics Every offspring inherits a gene for hair...Ch. 7.3 - Theft of Gold A small country owns 10,000 gold...Ch. 7.3 - Prob. 51ECh. 7.3 - 52. Basketball A basketball player makes free...Ch. 7.3 - Basketball A basketball player makes 82% of her...Ch. 7.3 - 54. Darts The probability is .64 that a dartist...Ch. 7.3 - Tennis A single match at the mens U.S. Open...Ch. 7.3 - 56. Baseball The World Series consists of a...Ch. 7.3 - Prob. 57ECh. 7.3 - Prob. 58ECh. 7.3 - Prob. 59ECh. 7.3 - Prob. 60ECh. 7.3 - Prob. 61ECh. 7.3 - Prob. 62ECh. 7.3 - Prob. 63ECh. 7.3 - Prob. 64ECh. 7.3 - Prob. 66ECh. 7.3 - Prob. 67ECh. 7.3 - 68. Calculate the probability of between 45 and 55...Ch. 7.3 - Prob. 69ECh. 7.4 - Life Insurance A 74-year-old man pays $1000 for a...Ch. 7.4 - Prob. 2CYUCh. 7.4 - In Exercises 14, determine whether the quantity...Ch. 7.4 - In Exercises 14, determine whether the quantity...Ch. 7.4 - In Exercises 1–4, determine whether the quantity...Ch. 7.4 - In Exercises 14, determine whether the quantity...Ch. 7.4 - Find the expected value for the probability...Ch. 7.4 - Find the expected value for the probability...Ch. 7.4 - Grades A college student received the following...Ch. 7.4 - Gymnastic Scores An Olympic gymnast received the...Ch. 7.4 - 9. Comparing Toothpastes Table 12 gives the...Ch. 7.4 - 10. Investments Table 13 gives the possible...Ch. 7.4 - In Exercises 11–14, find the expected value for...Ch. 7.4 - In Exercises 11–14, find the expected value for...Ch. 7.4 - In Exercises 11–14, find the expected value for...Ch. 7.4 - In Exercises 1114, find the expected value for the...Ch. 7.4 - Roulette In American roulette, a bettor may place...Ch. 7.4 - 16. Roulette In American roulette, a dollar may be...Ch. 7.4 - Carnival Game In a carnival game, the player...Ch. 7.4 - Carnival Game In a carnival game, the player...Ch. 7.4 - 19. Life Insurance Using life insurance tables, a...Ch. 7.4 - Life Insurance Using life insurance tables, a...Ch. 7.4 - 21. Batting Averages Five members of a baseball...Ch. 7.4 - 22. Exam Scores Three members of a study group...Ch. 7.4 - Dice A pair of dice is rolled, and the larger of...Ch. 7.4 - Dice A pair of dice is rolled, and the smaller of...Ch. 7.4 - Chuck-a-Luck Redo Example 6, where the player wins...Ch. 7.4 - 26. Chuck-a-Luck Consider Example 6 with six...Ch. 7.4 - Bachelors Degrees According to the National Center...Ch. 7.4 - 28. Faculty Degrees According to the American...Ch. 7.4 - 29. Rolling a Die A die is rolled 30 times. What...Ch. 7.4 - Baseball Ted is a consistent .275 hitter. How many...Ch. 7.4 - Basketball A basketball player makes 40% of their...Ch. 7.4 - 32. Binomial Trials What is the probability of...Ch. 7.4 - Exercises 33–36 require the use of counting...Ch. 7.4 - Exercises 3336 require the use of counting...Ch. 7.4 - Exercises 33–36 require the use of counting...Ch. 7.4 - Exercises 33–36 require the use of counting...Ch. 7.4 - Rain Insurance The promoter of a football game is...Ch. 7.4 - Theft Insurance Bob wishes to insure a priceless...Ch. 7.4 - Ticket Sales Last weekend, a movie theater sold x...Ch. 7.4 - 40. Candle Sales A store sold an average...Ch. 7.4 - 41. Weather The average daily temperature during...Ch. 7.4 - Grades Jos wants to earn a 90% overall average in...Ch. 7.4 - 43. Mean If 5, 6, and x have the same average as...Ch. 7.4 - Game of Chance Table 14 gives the probability...Ch. 7.4 - 45. Factory Production An assembly line produces...Ch. 7.4 - 46. Weekly Revenue A small business had an average...Ch. 7.4 - 47. Truck Capacity A truck can carry a maximum of...Ch. 7.4 - Magazine Sales Half of the magazines at a...Ch. 7.5 - 1. (a) Compute the variance of the probability...Ch. 7.5 - 2. Refer to the probability distribution in Table...Ch. 7.5 - 1. Compute the variance of the probability...Ch. 7.5 - 2. Compute the variance of the probability...Ch. 7.5 - Determine by inspection which one of the...Ch. 7.5 - Determine by inspection which one of the...Ch. 7.5 - 5. Investment Returns Table 7 gives the...Ch. 7.5 - Golf Scores Two golfers recorded their scores for...Ch. 7.5 - Weekly Sales Table 8 gives the relative frequency...Ch. 7.5 - Course Grades Student A received the following...Ch. 7.5 - Coin Tosses Suppose that a coin is tossed 10...Ch. 7.5 - 10. Dice Suppose that a pair of dice is rolled 720...Ch. 7.5 - 11. Quality Control A manufacturer produces smart...Ch. 7.5 - 12. Basketball A basketball player makes each free...Ch. 7.5 - Chebychev Inequality Suppose that a probability...Ch. 7.5 - Chebychev Inequality Suppose that a probability...Ch. 7.5 - 15. Bulb Lifetimes For certain types of...Ch. 7.5 - 16. Quality Control An electronics firm determines...Ch. 7.5 - Prob. 17ECh. 7.5 - 18. Chebychev Inequality Suppose that a...Ch. 7.5 - Dice The probability distribution for the sum of...Ch. 7.5 - Dice The probability distribution, rounded to the...Ch. 7.5 - Variance Use the alternative formula for variance...Ch. 7.5 - 22. If X is a random variable, then the variance...Ch. 7.5 - Prob. 23ECh. 7.5 - Prob. 24ECh. 7.5 - 25. College Enrollments Table 12 gives the fall...Ch. 7.5 - Prob. 26ECh. 7.5 - Prob. 27ECh. 7.5 - Prob. 28ECh. 7.6 - Refer to Fig. 35(a). Find the value of z for which...Ch. 7.6 - Refer to the normal curve in Fig. 35(b). Express...Ch. 7.6 - In Exercises 1-8, use the table for A(z) (Table 2)...Ch. 7.6 - In Exercises 1-8, use the table for A(z) (Table 2)...Ch. 7.6 - In Exercises 1-8, use the table for A(z) (Table 2)...Ch. 7.6 - In Exercises 1-8, use the table for A(z) (Table 2)...Ch. 7.6 - In Exercises 1-8, use the table for (Table 2) to...Ch. 7.6 - In Exercises 1-8, use the table for (Table 2) to...Ch. 7.6 - In Exercises 1-8, use the table for (Table 2) to...Ch. 7.6 - In Exercises 1-8, use the table for A(z) (Table 2)...Ch. 7.6 - In Exercises 9-12, find the value of z for which...Ch. 7.6 - In Exercises 9-12, find the value of z for which...Ch. 7.6 - In Exercises 9-12, find the value of z for which...Ch. 7.6 - In Exercises 9-12, find the value of z for which...Ch. 7.6 - What is the 80th percentile of the standard normal...Ch. 7.6 - What is the 40th percentile of the standard normal...Ch. 7.6 - Prob. 15ECh. 7.6 - Prob. 16ECh. 7.6 - Prob. 17ECh. 7.6 - Prob. 18ECh. 7.6 - Exercises 1922 refer to the normal curve with...Ch. 7.6 - Exercises 19–22 refer to the normal curve with...Ch. 7.6 - Exercises 19–22 refer to the normal curve with...Ch. 7.6 - Exercises 1922 refer to the normal curve with...Ch. 7.6 - In Exercises 23-26, find the areas of the shaded...Ch. 7.6 - In Exercises 23-26, find the areas of the shaded...Ch. 7.6 - In Exercises 23-26, find the areas of the shaded...Ch. 7.6 - In Exercises 23-26, find the areas of the shaded...Ch. 7.6 - 27. What is the probability that an outcome of a...Ch. 7.6 - 28. What is the probability that an outcome of a...Ch. 7.6 - Find the value of for a normal random variable X...Ch. 7.6 - Find the value of for a normal random variable X...Ch. 7.6 - Elephant Heights Suppose that the height (at the...Ch. 7.6 - 32. Bottling Reliability At a soft-drink bottling...Ch. 7.6 - Manufacturing Reliability Bolts produced by a...Ch. 7.6 - Heights In a certain population, heights (in...Ch. 7.6 - 35. Manufacturing Reliability In a certain...Ch. 7.6 - 36. IQ Scores As measured with the Stanford-Binet...Ch. 7.6 - 37. Production Quotas The number of barrels of oil...Ch. 7.6 - Lightbulb Lifetimes Suppose that the lifetimes of...Ch. 7.6 - SAT Scores Assume that SAT verbal scores for a...Ch. 7.6 - 40. Mailing Bags A mail-order house uses an...Ch. 7.6 - Tire Lifetimes The lifetime of a certain brand of...Ch. 7.6 - Soft-Drink Dispenser Let X be the amount of soda...Ch. 7.6 - (True or False) A normal curve with a large value...Ch. 7.6 - Prob. 44ECh. 7.6 - Prob. 45ECh. 7.6 - Prob. 46ECh. 7.6 - Prob. 47ECh. 7.6 - Prob. 48ECh. 7.7 - 1. Drug Testing A new drug is being tested on...Ch. 7.7 - Prob. 2CYUCh. 7.7 - In Exercises 122, use the normal curve to...Ch. 7.7 - In Exercises 122, use the normal curve to...Ch. 7.7 - In Exercises 122, use the normal curve to...Ch. 7.7 - In Exercises 122, use the normal curve to...Ch. 7.7 - In Exercises 1–22, use the normal curve to ...Ch. 7.7 - In Exercises 122, use the normal curve to...Ch. 7.7 - In Exercises 122, use the normal curve to...Ch. 7.7 - In Exercises 122, use the normal curve to...Ch. 7.7 - In Exercises 122, use the normal curve to...Ch. 7.7 - In Exercises 1–22, use the normal curve to ...Ch. 7.7 - In Exercises 1–22, use the normal curve to ...Ch. 7.7 - In Exercises 1–22, use the normal curve to ...Ch. 7.7 - In Exercises 122, use the normal curve to...Ch. 7.7 - In Exercises 122, use the normal curve to...Ch. 7.7 - In Exercises 1–22, use the normal curve to ...Ch. 7.7 - In Exercises 122, use the normal curve to...Ch. 7.7 - In Exercises 1–22, use the normal curve to ...Ch. 7.7 - In Exercises 1–22, use the normal curve to ...Ch. 7.7 - In Exercises 1–22, use the normal curve to ...Ch. 7.7 - In Exercises 122, use the normal curve to...Ch. 7.7 - In Exercises 122, use the normal curve to...Ch. 7.7 - In Exercises 122, use the normal curve to...Ch. 7.7 - In Exercises 23–26, find the more precise answer...Ch. 7.7 - Prob. 24ECh. 7.7 - In Exercises 23–26, find the more precise answer...Ch. 7.7 - In Exercises 2326, find the more precise answer to...Ch. 7 - What is a bar chart? A pie chart? A histogram? A...Ch. 7 - Prob. 2FCCECh. 7 - What is a frequency distribution? A relative...Ch. 7 - Prob. 4FCCECh. 7 - Prob. 5FCCECh. 7 - What is meant by the probability distribution of a...Ch. 7 - Prob. 7FCCECh. 7 - Prob. 8FCCECh. 7 - Prob. 9FCCECh. 7 - Prob. 10FCCECh. 7 - Prob. 11FCCECh. 7 - Prob. 12FCCECh. 7 - Prob. 13FCCECh. 7 - U.S. Population Display the data from Table 1 in a...Ch. 7 - Find the five-number summary and the interquartile...Ch. 7 - Prob. 3RECh. 7 - Prob. 4RECh. 7 - Prob. 5RECh. 7 - 6. Archery An archer has probability .3 of hitting...Ch. 7 - 7. Guessing on an Exam A true–false exam consists...Ch. 7 - Dice A pair of fair dice is rolled 12 times. Note:...Ch. 7 - Table 2 gives the probability distribution of the...Ch. 7 - 10. Balls in an Urn An urn contains four red balls...Ch. 7 - The probability distribution of a random variable...Ch. 7 - Dice Game Lucy and Ethel play a game of chance in...Ch. 7 - 13. Suppose that a probability distribution has...Ch. 7 - Prob. 14RECh. 7 - Prob. 15RECh. 7 - Prob. 16RECh. 7 - 17. Heights of Adult Males The height of adult...Ch. 7 - Figure 3(a) is a standard normal curve. Find the...Ch. 7 - Figure 3(b) is a normal curve with =80and=15. Find...Ch. 7 - IQ Scores As measured with the Wechsler Adult...Ch. 7 - 21. Jury Selection In a certain city, 2/5 of the...Ch. 7 - Quality Control In a complicated production...Ch. 7 - Prob. 23RECh. 7 - Prob. 24RECh. 7 - Prob. 25RECh. 7 - Prob. 26RECh. 7 - If each number in a set of numbers is increased by...Ch. 7 - 28. If each number in a set of numbers is doubled,...Ch. 7 - Prob. 29RECh. 7 - Prob. 30RECh. 7 - An urn contains four red balls and six white...Ch. 7 - Prob. 2PCh. 7 - An urn contains four red balls and six white...Ch. 7 - An urn contains four red balls and six white...Ch. 7 - An urn contains four red balls and six white...Ch. 7 - An urn contains four red balls and six white...Ch. 7 - An urn contains four red balls and six white...Ch. 7 - An urn contains four red balls and six white...Ch. 7 - An urn contains four red balls and six white...
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- H.w: Find the Eigen vectors for the largest Eigen value of the system X1+ +2x3=0 3x1-2x2+x3=0 4x1+ +3x3=0arrow_forward[) Hwk 25 → C Hwk 27 - (MA 244-03) (SP25) IN X Answered: [) Hwk 25 4. [-/4 Poir X + https://www.webassign.net/web/Student/Assignment-Responses/submit?dep=36606606&tags=autosave#question3706544_6 3. [-/2.85 Points] DETAILS MY NOTES LARLINALG8 7.1.021. Find the characteristic equation and the eigenvalues (and a basis for each of the corresponding eigenspaces) of the matrix. 2 -2 5 0 3 -2 0-1 2 (a) the characteristic equation (b) the eigenvalues (Enter your answers from smallest to largest.) (1, 2, 13) = ·( ) a basis for each of the corresponding eigenspaces X1 x2 = x3 = Need Help? Read It Watch It SUBMIT ANSWER 4. [-/2.85 Points] DETAILS MY NOTES LARLINALG8 7.1.041. Find the eigenvalues of the triangular or diagonal matrix. (Enter your answers as a comma-separated list.) λ= 1 0 1 045 002 Need Help? Read It ASK YOUR TEACHER PRACTICE ANOTHER ASK YOUR TEACHER PRACTICE ANOTHER illarrow_forwardons 12. A sociologist hypothesizes that the crime rate is higher in areas with higher poverty rate and lower median income. She col- lects data on the crime rate (crimes per 100,000 residents), the poverty rate (in %), and the median income (in $1,000s) from 41 New England cities. A portion of the regression results is shown in the following table. Standard Coefficients error t stat p-value Intercept -301.62 549.71 -0.55 0.5864 Poverty 53.16 14.22 3.74 0.0006 Income 4.95 8.26 0.60 0.5526 a. b. Are the signs as expected on the slope coefficients? Predict the crime rate in an area with a poverty rate of 20% and a median income of $50,000. 3. Using data from 50 workarrow_forward
- 2. The owner of several used-car dealerships believes that the selling price of a used car can best be predicted using the car's age. He uses data on the recent selling price (in $) and age of 20 used sedans to estimate Price = Po + B₁Age + ε. A portion of the regression results is shown in the accompanying table. Standard Coefficients Intercept 21187.94 Error 733.42 t Stat p-value 28.89 1.56E-16 Age -1208.25 128.95 -9.37 2.41E-08 a. What is the estimate for B₁? Interpret this value. b. What is the sample regression equation? C. Predict the selling price of a 5-year-old sedan.arrow_forwardneed help with 5 and 6 pleasearrow_forwardian income of $50,000. erty rate of 13. Using data from 50 workers, a researcher estimates Wage = Bo+B,Education + B₂Experience + B3Age+e, where Wage is the hourly wage rate and Education, Experience, and Age are the years of higher education, the years of experience, and the age of the worker, respectively. A portion of the regression results is shown in the following table. ni ogolloo bash 1 Standard Coefficients error t stat p-value Intercept 7.87 4.09 1.93 0.0603 Education 1.44 0.34 4.24 0.0001 Experience 0.45 0.14 3.16 0.0028 Age -0.01 0.08 -0.14 0.8920 a. Interpret the estimated coefficients for Education and Experience. b. Predict the hourly wage rate for a 30-year-old worker with four years of higher education and three years of experience.arrow_forward
- 1. If a firm spends more on advertising, is it likely to increase sales? Data on annual sales (in $100,000s) and advertising expenditures (in $10,000s) were collected for 20 firms in order to estimate the model Sales = Po + B₁Advertising + ε. A portion of the regression results is shown in the accompanying table. Intercept Advertising Standard Coefficients Error t Stat p-value -7.42 1.46 -5.09 7.66E-05 0.42 0.05 8.70 7.26E-08 a. Interpret the estimated slope coefficient. b. What is the sample regression equation? C. Predict the sales for a firm that spends $500,000 annually on advertising.arrow_forward[) Hwk 25 4. [-/4 Points] Hwk 25 - (MA 244-03) (SP25) || X Answered: Homework#7 | bartle X + https://www.webassign.net/web/Student/Assignment-Responses/last?dep=36606604 DETAILS MY NOTES LARLINALG8 6.4.019. Use the matrix P to determine if the matrices A and A' are similar. -1 -1 12 9 '-[ ¯ ¯ ], ^ - [ _—2—2 _ ' ], ^' - [ ˜³ −10] P = 1 2 A = -20-11 A' -3-10 6 4 P-1 = Are they similar? Yes, they are similar. No, they are not similar. Need Help? Read It SUBMIT ANSWER P-1AP = 5. [-/4 Points] DETAILS MY NOTES LARLINALG8 6.4.023. Suppose A is the matrix for T: R³ - → R³ relative to the standard basis. Find the diagonal matrix A' for T relative to the basis B'. A' = -1 -2 0 A = -1 0 0 ' 0 02 B' = {(−1, 1, 0), (2, 1, 0), (0, 0, 1)} ☐☐☐ ↓ ↑ Need Help? Read It Update available →] - restart now ASK YOUR T Sync and save data { Sign In ill ↑ New tab HT New window N New private window +HP ASK YOUR T Bookmarks History Downloads > > HJ Passwords Add-ons and themes HA Print... HP Save page as... HS…arrow_forwardClarification: 1. f doesn’t have REAL roots2. f is a quadratic, so a≠0arrow_forward
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