Elementary Statistics: A Step-by-Step Approach with Formula Card
9th Edition
ISBN: 9780078136337
Author: Allan G. Bluman
Publisher: McGraw-Hill Education
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Chapter 4.4, Problem 60E
DVD Selection How many ways can a person select 8 DVDs from 10 DVDs?
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(c) Because logistic regression predicts probabilities of outcomes, observations used to build a logistic regression model need not be independent.
A. false: all observations must be independent
B. true
C. false: only observations with the same outcome need to be independent
I ANSWERED: A. false: all observations must be independent.
(This was marked wrong but I have no idea why. Isn't this a basic assumption of logistic regression)
Business discuss
Spam filters are built on principles similar to those used in logistic regression. We fit a probability that each message is spam or not spam. We have several variables for each email. Here are a few: to_multiple=1 if there are multiple recipients, winner=1 if the word 'winner' appears in the subject line, format=1 if the email is poorly formatted, re_subj=1 if "re" appears in the subject line. A logistic model was fit to a dataset with the following output:
Estimate
SE
Z
Pr(>|Z|)
(Intercept)
-0.8161
0.086
-9.4895
0
to_multiple
-2.5651
0.3052
-8.4047
0
winner
1.5801
0.3156
5.0067
0
format
-0.1528
0.1136
-1.3451
0.1786
re_subj
-2.8401
0.363
-7.824
0
(a) Write down the model using the coefficients from the model fit.log_odds(spam) = -0.8161 + -2.5651 + to_multiple + 1.5801 winner + -0.1528 format + -2.8401 re_subj(b) Suppose we have an observation where to_multiple=0, winner=1, format=0, and re_subj=0. What is the predicted probability that this message is spam?…
Chapter 4 Solutions
Elementary Statistics: A Step-by-Step Approach with Formula Card
Ch. 4.1 - Tossing a Coin Assume you are at a carnival and...Ch. 4.1 - What is a probability experiment?Ch. 4.1 - Define sample space.Ch. 4.1 - What is the difference between an outcome and an...Ch. 4.1 - What are equally likely events?Ch. 4.1 - What is the range of the values of the probability...Ch. 4.1 - When an event is certain to occur, what is its...Ch. 4.1 - If an event cannot happen, what value is assigned...Ch. 4.1 - What is the sum of the probabilities of all the...Ch. 4.1 - If the probability that it will rain tomorrow is...
Ch. 4.1 - A probability experiment is conducted. Which of...Ch. 4.1 - Classify each statement as an example of classical...Ch. 4.1 - Classify each statement as an example of classical...Ch. 4.1 - Prob. 13ECh. 4.1 - Rolling a Die If a die is rolled one time, find...Ch. 4.1 - Prob. 15ECh. 4.1 - Rolling Two Dice If two dice are rolled one time,...Ch. 4.1 - Prob. 17ECh. 4.1 - Drawing a Card If a card is drawn from a deck,...Ch. 4.1 - Shopping Mall Promotion A shopping mall has set up...Ch. 4.1 - Selecting a State Choose one of the 50 states at...Ch. 4.1 - Human Blood Types Human blood is grouped into four...Ch. 4.1 - Prob. 22ECh. 4.1 - Prob. 23ECh. 4.1 - Rural Speed Limits Rural speed limits for all 50...Ch. 4.1 - Prob. 25ECh. 4.1 - Sources of Energy Uses in the United States A...Ch. 4.1 - Prob. 27ECh. 4.1 - Computers in Elementary Schools Elementary and...Ch. 4.1 - College Debt The following information shows the...Ch. 4.1 - Population of Hawaii The population of Hawaii is...Ch. 4.1 - Prob. 31ECh. 4.1 - Living Arrangements for Children Here are the...Ch. 4.1 - Prob. 33ECh. 4.1 - Federal Government Revenue The source of federal...Ch. 4.1 - Selecting a Bill A box contains a 1 bill, a 5...Ch. 4.1 - Tossing Coins Draw a tree diagram and determine...Ch. 4.1 - Prob. 37ECh. 4.1 - Family Dinner Combinations A family special at a...Ch. 4.1 - Prob. 39ECh. 4.1 - Prob. 40ECh. 4.1 - Distribution of CEO Ages The distribution of ages...Ch. 4.1 - Tossing a Coin A person flipped a coin 100 times...Ch. 4.1 - Medical Treatment A medical doctor stated that...Ch. 4.1 - Wheel Spinner The wheel spinner shown here is spun...Ch. 4.1 - Tossing Coins Toss three coins 128 times and...Ch. 4.1 - Applying the Concepts 41 Tossing a Coin Assume you...Ch. 4.1 - Odds Odds are used in gambling games to make them...Ch. 4.2 - Applying the Concepts 42 Which Pain Reliever Is...Ch. 4.2 - Define mutually exclusive events, and give an...Ch. 4.2 - Explain briefly why addition rule 2 can be used...Ch. 4.2 - Prob. 3ECh. 4.2 - Determine whether these events are mutually...Ch. 4.2 - College Degrees Awarded The table below represents...Ch. 4.2 - Riding to School The probability that John will...Ch. 4.2 - Medical Specialities The following doctors were...Ch. 4.2 - U.S. Population The data show the U.S. population...Ch. 4.2 - Prob. 9ECh. 4.2 - Selecting a Movie A media rental store rented the...Ch. 4.2 - Prob. 11ECh. 4.2 - Selecting a Book At a used-book sale, 100 books...Ch. 4.2 - Young Adult Residences According to the Bureau of...Ch. 4.2 - Endangered Species The chart below shows the...Ch. 4.2 - Multiple Births The number of multiple births in...Ch. 4.2 - Licensed Drivers in the United States In a recent...Ch. 4.2 - Prob. 17ECh. 4.2 - Mail Delivery A local postal carrier distributes...Ch. 4.2 - Medical Tests on Emergency Patients The frequency...Ch. 4.2 - College Fundraiser A social organization of 32...Ch. 4.2 - Prob. 21ECh. 4.2 - Medical Patients A recent study of 300 patients...Ch. 4.2 - Prob. 23ECh. 4.2 - Rolling Die Two dice are rolled. Find the...Ch. 4.2 - Prob. 25ECh. 4.2 - Rolling Dice Three dice are rolled. Find the...Ch. 4.2 - Prob. 27ECCh. 4.2 - Building a New Home In building new homes, a...Ch. 4.2 - Prob. 29ECCh. 4.2 - Prob. 30ECCh. 4.2 - Prob. 31ECCh. 4.2 - Events A and B are mutually exclusive with P(A)...Ch. 4.3 - Prob. 1ACCh. 4.3 - State which events are independent and which are...Ch. 4.3 - State which events are independent and which are...Ch. 4.3 - Video and Computer Games Sixty-nine percent of...Ch. 4.3 - Seat Belt Use The Gallup Poll reported that 52% of...Ch. 4.3 - Automobile Sales An automobile salesperson finds...Ch. 4.3 - Prison Populations If 25% of U.S. federal prison...Ch. 4.3 - Prob. 7ECh. 4.3 - Working Women and Computer Use It is reported that...Ch. 4.3 - Prob. 9ECh. 4.3 - Selecting Marbles A bag contains 9 red marbles, 8...Ch. 4.3 - Prob. 11ECh. 4.3 - Flashlight Batteries A flashlight has 6 batteries,...Ch. 4.3 - Prob. 13ECh. 4.3 - Scientific Study In a scientific study there are 8...Ch. 4.3 - Prob. 15ECh. 4.3 - Winning a Door Prize At a gathering consisting of...Ch. 4.3 - Prob. 17ECh. 4.3 - Sales A manufacturer makes two models of an item:...Ch. 4.3 - Student Financial Aid In a recent year 8,073,000...Ch. 4.3 - Selecting Colored Balls Urn 1 contains 5 red balls...Ch. 4.3 - Automobile Insurance An insurance company...Ch. 4.3 - Defective Items A production process produces an...Ch. 4.3 - Prison Populations For a recent year, 0.99 of the...Ch. 4.3 - Rolling Dice Roll two standard dice and add the...Ch. 4.3 - Heart Disease Twenty-five percent of all deaths...Ch. 4.3 - Country Club Activities At the Avonlea Country...Ch. 4.3 - College Courses At a large university, the...Ch. 4.3 - Congressional Terms Below is given the summary...Ch. 4.3 - Pizza and Salads In a pizza restaurant, 95% of the...Ch. 4.3 - Gift Baskets The Gift Basket Store had the...Ch. 4.3 - Blood Types and Rh Factors In addition to being...Ch. 4.3 - Doctor Specialties Below are listed the numbers of...Ch. 4.3 - Lightning Strikes It has been said that the...Ch. 4.3 - Prob. 34ECh. 4.3 - Leisure Time Exercise Only 27% of U.S. adults get...Ch. 4.3 - Customer Purchases In a department store there are...Ch. 4.3 - Marital Status of Women According to the...Ch. 4.3 - Fatal Accidents The American Automobile...Ch. 4.3 - On-Time Airplane Arrivals According to FlightStats...Ch. 4.3 - On-Time Flights A flight from Pittsburgh to...Ch. 4.3 - Reading to Children Fifty-eight percent of...Ch. 4.3 - Doctoral Assistantships Of Ph.D. students, 60%...Ch. 4.3 - Prob. 43ECh. 4.3 - Autism In recent years it was thought that...Ch. 4.3 - Prob. 45ECh. 4.3 - Medication Effectiveness A medication is 75%...Ch. 4.3 - Prob. 47ECh. 4.3 - Selecting a Letter of the Alphabet If 3 letters of...Ch. 4.3 - Prob. 49ECh. 4.3 - Prob. 50ECh. 4.3 - Prob. 51ECh. 4.3 - Selecting a Flower In a large vase, there are 8...Ch. 4.3 - Let A and B be two mutually exclusive events. Are...Ch. 4.3 - Types of Vehicles The Bargain Auto Mall has the...Ch. 4.3 - Prob. 55ECCh. 4.3 - Commercials Event A is the event that a person...Ch. 4.3 - Given a sample space with events A and B such that...Ch. 4.3 - Childs Board Game In a childs board game of the...Ch. 4.3 - Bags Containing Marbles Two bags contain marbles....Ch. 4.4 - Garage Door Openers Garage door openers originally...Ch. 4.4 - Zip Codes How many 5-digit zip codes are possible...Ch. 4.4 - Letter Permutations List all the permutations of...Ch. 4.4 - Prob. 3ECh. 4.4 - Visiting Nurses How many different ways can a...Ch. 4.4 - Quinto Lottery A lottery game called Quinto is...Ch. 4.4 - Show Programs Three bands and two comics are...Ch. 4.4 - Prob. 7ECh. 4.4 - Radio Station Call Letters The call letters of a...Ch. 4.4 - Prob. 9ECh. 4.4 - Secret Code Word How many 4-letter code words can...Ch. 4.4 - Passwords Given the characters A, B, C, H, I, T,...Ch. 4.4 - Automobile Trips There are 2 major roads from city...Ch. 4.4 - Prob. 13ECh. 4.4 - Evaluate each expression. a. 6! b. 11! c. 2! d. 9!...Ch. 4.4 - Sports Car Stripes How many different 4-color code...Ch. 4.4 - Manufacturing Tests An inspector must select 3...Ch. 4.4 - Prob. 17ECh. 4.4 - Inspecting Restaurants How many different ways can...Ch. 4.4 - Prob. 19ECh. 4.4 - Word Permutation How many different 4-letter...Ch. 4.4 - ID Cards How many different ID cards can be made...Ch. 4.4 - Free-Sample Requests An online coupon service has...Ch. 4.4 - Ticket Selection How many different ways can 4...Ch. 4.4 - Movie Selections The Foreign Language Club is...Ch. 4.4 - Task Assignments How many ways can an adviser...Ch. 4.4 - Agency Cases An investigative agency has 7 cases...Ch. 4.4 - Signal Flags How many different flag signals, each...Ch. 4.4 - Word Permutations How many permutations can be...Ch. 4.4 - Code Words How many different 9-letter code words...Ch. 4.4 - Toothpaste Display How many different ways can 5...Ch. 4.4 - Book Arrangements How many different ways can 6...Ch. 4.4 - Word Permutations How many permutations can be...Ch. 4.4 - Evaluate each expression. a. 5C2 b. 8C3 c. 7C4 d....Ch. 4.4 - Evaluate each expression. a. 3C0 b. 3C3 c. 9C7 d....Ch. 4.4 - Prob. 35ECh. 4.4 - Selecting Players How many ways can 4 baseball...Ch. 4.4 - Prob. 37ECh. 4.4 - Selecting Christmas Presents If a person can...Ch. 4.4 - Buffet Desserts In how many ways can you choose 3...Ch. 4.4 - Bridge Foursomes How many different tables of 4...Ch. 4.4 - Music Recital Six students are performing one song...Ch. 4.4 - Freight Train Cars In a train yard there are 4...Ch. 4.4 - Selecting a Committee There are 7 women and 5 men...Ch. 4.4 - Buffet Desserts In how many ways can you choose 3...Ch. 4.4 - Hawaiian Words The Hawaiian alphabet consists of 7...Ch. 4.4 - Selecting a Jury How many ways can a jury of 6...Ch. 4.4 - Selecting Students How many ways can you pick 4...Ch. 4.4 - Investigative Team The state narcotics bureau must...Ch. 4.4 - Prob. 49ECh. 4.4 - Charity Event Participants There are 16 seniors...Ch. 4.4 - Prob. 51ECh. 4.4 - DVD Selection How many ways can a person select 8...Ch. 4.4 - Prob. 53ECh. 4.4 - Selecting a Location An advertising manager...Ch. 4.4 - Prob. 55ECh. 4.4 - Test Marketing Products Anderson Research Company...Ch. 4.4 - Prob. 57ECh. 4.4 - Selecting Musicals How many different ways can a...Ch. 4.4 - Textbook Selection How many different ways can an...Ch. 4.4 - DVD Selection How many ways can a person select 8...Ch. 4.4 - Prob. 61ECh. 4.4 - Signal Flags How many different signals can be...Ch. 4.4 - Prob. 63ECh. 4.4 - Air Pollution The Environmental Protection Agency...Ch. 4.4 - Selecting Officers In a board of directors...Ch. 4.4 - Prob. 66ECh. 4.4 - Prob. 67ECCh. 4.4 - Prob. 68ECCh. 4.4 - Seating in a Movie Theater How many different ways...Ch. 4.4 - Prob. 70ECCh. 4.4 - Prob. 71ECCh. 4.4 - Prob. 72ECCh. 4.5 - Applying the Concepts 45 Counting Rules and...Ch. 4.5 - Selecting Cards Find the probability of getting 2...Ch. 4.5 - Selecting Cards Cards numbered 110 are shuffled...Ch. 4.5 - Prob. 3ECh. 4.5 - Prob. 4ECh. 4.5 - Job Applications Six men and seven women apply for...Ch. 4.5 - Defective Resistors A package contains 12...Ch. 4.5 - Prob. 7ECh. 4.5 - Getting a Full House Find the probability of...Ch. 4.5 - World-Class Orchestras About.coms list of 20 World...Ch. 4.5 - Selecting Cards The red face cards and the black...Ch. 4.5 - Socks in a Drawer A drawer contains 11 identical...Ch. 4.5 - Selecting Books Find the probability of selecting...Ch. 4.5 - Prob. 13ECh. 4.5 - Football Team Selection A football team consists...Ch. 4.5 - Arrangement of Washers Find the probability that...Ch. 4.5 - Poker Hands Using the information in Exercise 70...Ch. 4.5 - Prob. 17ECh. 4 - Prob. 4.1.1RECh. 4 - Selecting a Card When a card is selected from a...Ch. 4 - Software Selection The top-10 selling computer...Ch. 4 - Motor Vehicle Producers The top five motor vehicle...Ch. 4 - Prob. 4.1.5RECh. 4 - Rolling Two Dice When two dice are rolled, find...Ch. 4 - Prob. 4.2.7RECh. 4 - Breakfast Drink In a recent survey, 18 people...Ch. 4 - Prob. 4.2.9RECh. 4 - Prob. 4.2.10RECh. 4 - Online Course Selection Roughly 1 in 6 students...Ch. 4 - Purchasing Sweaters During a sale at a mens store,...Ch. 4 - Drawing Cards Three cards are drawn from an...Ch. 4 - Coin Toss and Card Drawn A coin is tossed and a...Ch. 4 - Movie Releases The top five countries for movie...Ch. 4 - Factory Output A manufacturing company has three...Ch. 4 - Effectiveness of Vaccine A vaccine has a 90%...Ch. 4 - T-shirt Factories Two T-shirt printing factories...Ch. 4 - Car Purchase The probability that Sue will live on...Ch. 4 - Prob. 4.3.20RECh. 4 - Prob. 4.3.21RECh. 4 - Bad Weather The probability that it snows and the...Ch. 4 - Education Level and Smoking At a large factory,...Ch. 4 - Prob. 4.3.24RECh. 4 - Prob. 4.3.25RECh. 4 - Prob. 4.3.26RECh. 4 - Prob. 4.4.27RECh. 4 - Prob. 4.4.28RECh. 4 - Prob. 4.4.29RECh. 4 - Prob. 4.4.30RECh. 4 - Prob. 4.4.31RECh. 4 - Committee Representation There are 6 Republican, 5...Ch. 4 - Song Selections A promotional MP3 player is...Ch. 4 - Prob. 4.4.34RECh. 4 - Prob. 4.4.35RECh. 4 - Prob. 4.4.36RECh. 4 - Prob. 4.4.37RECh. 4 - Prob. 4.4.38RECh. 4 - Prob. 4.4.39RECh. 4 - Prob. 4.4.40RECh. 4 - Prob. 4.5.41RECh. 4 - License Plates A certain states license plate has...Ch. 4 - Territorial Selection Several territories and...Ch. 4 - Yahtzee Yahtzee is a game played with 5 dice....Ch. 4 - Personnel Classification For a survey, a subject...Ch. 4 - Determine whether each statement is true or false....Ch. 4 - Determine whether each statement is true or false....Ch. 4 - Prob. 3CQCh. 4 - Prob. 4CQCh. 4 - Determine whether each statement is true or false....Ch. 4 - Determine whether each statement is true or false....Ch. 4 - Prob. 7CQCh. 4 - Prob. 8CQCh. 4 - Prob. 9CQCh. 4 - When a meteorologist says that there is a 30%...Ch. 4 - The sample space for tossing 3 coins consists of...Ch. 4 - Prob. 12CQCh. 4 - When two dice are rolled, the sample space...Ch. 4 - Prob. 14CQCh. 4 - What is the number of permutations of 6 different...Ch. 4 - Prob. 16CQCh. 4 - Prob. 17CQCh. 4 - Complete the following statements with the best...Ch. 4 - Complete the following statements with the best...Ch. 4 - Complete the following statements with the best...Ch. 4 - Complete the following statements with the best...Ch. 4 - Complete the following statements with the best...Ch. 4 - Prob. 23CQCh. 4 - Selecting a Card When a card is drawn from a deck,...Ch. 4 - Selecting a Sweater At a mens clothing store, 12...Ch. 4 - Prob. 26CQCh. 4 - Appliance Ownership The probability that a person...Ch. 4 - Starting Salaries Of the physics graduates of a...Ch. 4 - Prob. 29CQCh. 4 - Scholarships The probability that Samantha will be...Ch. 4 - Prob. 31CQCh. 4 - Prob. 32CQCh. 4 - Work and Weather The probability that Mike has to...Ch. 4 - Education of Factory Employees At a large factory,...Ch. 4 - Heart Attacks In a certain high-risk group, the...Ch. 4 - Rolling a Die A single die is rolled 4 times. Find...Ch. 4 - Prob. 37CQCh. 4 - Singer Selection How many ways can 5 sopranos and...Ch. 4 - Speaker Selection How many different ways can 8...Ch. 4 - Stocking Machines A soda machine servicer must...Ch. 4 - ID Cards One companys ID cards consist of 5...Ch. 4 - Prob. 42CQCh. 4 - Prob. 43CQCh. 4 - Prob. 44CQCh. 4 - Prob. 45CQCh. 4 - Cruise Ship Activities A cruise director schedules...Ch. 4 - Prob. 47CQCh. 4 - Prob. 48CQCh. 4 - Toy Display A toy store manager wants to display 7...Ch. 4 - Commercial Order A local television station must...Ch. 4 - Prob. 1CTCCh. 4 - Prob. 2CTCCh. 4 - Prob. 3CTCCh. 4 - Prob. 4CTCCh. 4 - Prob. 4DP
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- Consider an event X comprised of three outcomes whose probabilities are 9/18, 1/18,and 6/18. Compute the probability of the complement of the event. Question content area bottom Part 1 A.1/2 B.2/18 C.16/18 D.16/3arrow_forwardJohn and Mike were offered mints. What is the probability that at least John or Mike would respond favorably? (Hint: Use the classical definition.) Question content area bottom Part 1 A.1/2 B.3/4 C.1/8 D.3/8arrow_forwardThe details of the clock sales at a supermarket for the past 6 weeks are shown in the table below. The time series appears to be relatively stable, without trend, seasonal, or cyclical effects. The simple moving average value of k is set at 2. What is the simple moving average root mean square error? Round to two decimal places. Week Units sold 1 88 2 44 3 54 4 65 5 72 6 85 Question content area bottom Part 1 A. 207.13 B. 20.12 C. 14.39 D. 0.21arrow_forward
- The details of the clock sales at a supermarket for the past 6 weeks are shown in the table below. The time series appears to be relatively stable, without trend, seasonal, or cyclical effects. The simple moving average value of k is set at 2. If the smoothing constant is assumed to be 0.7, and setting F1 and F2=A1, what is the exponential smoothing sales forecast for week 7? Round to the nearest whole number. Week Units sold 1 88 2 44 3 54 4 65 5 72 6 85 Question content area bottom Part 1 A. 80 clocks B. 60 clocks C. 70 clocks D. 50 clocksarrow_forwardThe details of the clock sales at a supermarket for the past 6 weeks are shown in the table below. The time series appears to be relatively stable, without trend, seasonal, or cyclical effects. The simple moving average value of k is set at 2. Calculate the value of the simple moving average mean absolute percentage error. Round to two decimal places. Week Units sold 1 88 2 44 3 54 4 65 5 72 6 85 Part 1 A. 14.39 B. 25.56 C. 23.45 D. 20.90arrow_forwardThe accompanying data shows the fossil fuels production, fossil fuels consumption, and total energy consumption in quadrillions of BTUs of a certain region for the years 1986 to 2015. Complete parts a and b. Year Fossil Fuels Production Fossil Fuels Consumption Total Energy Consumption1949 28.748 29.002 31.9821950 32.563 31.632 34.6161951 35.792 34.008 36.9741952 34.977 33.800 36.7481953 35.349 34.826 37.6641954 33.764 33.877 36.6391955 37.364 37.410 40.2081956 39.771 38.888 41.7541957 40.133 38.926 41.7871958 37.216 38.717 41.6451959 39.045 40.550 43.4661960 39.869 42.137 45.0861961 40.307 42.758 45.7381962 41.732 44.681 47.8261963 44.037 46.509 49.6441964 45.789 48.543 51.8151965 47.235 50.577 54.0151966 50.035 53.514 57.0141967 52.597 55.127 58.9051968 54.306 58.502 62.4151969 56.286…arrow_forward
- The accompanying data shows the fossil fuels production, fossil fuels consumption, and total energy consumption in quadrillions of BTUs of a certain region for the years 1986 to 2015. Complete parts a and b. Year Fossil Fuels Production Fossil Fuels Consumption Total Energy Consumption1949 28.748 29.002 31.9821950 32.563 31.632 34.6161951 35.792 34.008 36.9741952 34.977 33.800 36.7481953 35.349 34.826 37.6641954 33.764 33.877 36.6391955 37.364 37.410 40.2081956 39.771 38.888 41.7541957 40.133 38.926 41.7871958 37.216 38.717 41.6451959 39.045 40.550 43.4661960 39.869 42.137 45.0861961 40.307 42.758 45.7381962 41.732 44.681 47.8261963 44.037 46.509 49.6441964 45.789 48.543 51.8151965 47.235 50.577 54.0151966 50.035 53.514 57.0141967 52.597 55.127 58.9051968 54.306 58.502 62.4151969 56.286…arrow_forwardThe accompanying data shows the fossil fuels production, fossil fuels consumption, and total energy consumption in quadrillions of BTUs of a certain region for the years 1986 to 2015. Complete parts a and b. Develop line charts for each variable and identify the characteristics of the time series (that is, random, stationary, trend, seasonal, or cyclical). What is the line chart for the variable Fossil Fuels Production?arrow_forwardThe accompanying data shows the fossil fuels production, fossil fuels consumption, and total energy consumption in quadrillions of BTUs of a certain region for the years 1986 to 2015. Complete parts a and b. Year Fossil Fuels Production Fossil Fuels Consumption Total Energy Consumption1949 28.748 29.002 31.9821950 32.563 31.632 34.6161951 35.792 34.008 36.9741952 34.977 33.800 36.7481953 35.349 34.826 37.6641954 33.764 33.877 36.6391955 37.364 37.410 40.2081956 39.771 38.888 41.7541957 40.133 38.926 41.7871958 37.216 38.717 41.6451959 39.045 40.550 43.4661960 39.869 42.137 45.0861961 40.307 42.758 45.7381962 41.732 44.681 47.8261963 44.037 46.509 49.6441964 45.789 48.543 51.8151965 47.235 50.577 54.0151966 50.035 53.514 57.0141967 52.597 55.127 58.9051968 54.306 58.502 62.4151969 56.286…arrow_forward
- For each of the time series, construct a line chart of the data and identify the characteristics of the time series (that is, random, stationary, trend, seasonal, or cyclical). Month PercentApr 1972 4.97May 1972 5.00Jun 1972 5.04Jul 1972 5.25Aug 1972 5.27Sep 1972 5.50Oct 1972 5.73Nov 1972 5.75Dec 1972 5.79Jan 1973 6.00Feb 1973 6.02Mar 1973 6.30Apr 1973 6.61May 1973 7.01Jun 1973 7.49Jul 1973 8.30Aug 1973 9.23Sep 1973 9.86Oct 1973 9.94Nov 1973 9.75Dec 1973 9.75Jan 1974 9.73Feb 1974 9.21Mar 1974 8.85Apr 1974 10.02May 1974 11.25Jun 1974 11.54Jul 1974 11.97Aug 1974 12.00Sep 1974 12.00Oct 1974 11.68Nov 1974 10.83Dec 1974 10.50Jan 1975 10.05Feb 1975 8.96Mar 1975 7.93Apr 1975 7.50May 1975 7.40Jun 1975 7.07Jul 1975 7.15Aug 1975 7.66Sep 1975 7.88Oct 1975 7.96Nov 1975 7.53Dec 1975 7.26Jan 1976 7.00Feb 1976 6.75Mar 1976 6.75Apr 1976 6.75May 1976…arrow_forwardHi, I need to make sure I have drafted a thorough analysis, so please answer the following questions. Based on the data in the attached image, develop a regression model to forecast the average sales of football magazines for each of the seven home games in the upcoming season (Year 10). That is, you should construct a single regression model and use it to estimate the average demand for the seven home games in Year 10. In addition to the variables provided, you may create new variables based on these variables or based on observations of your analysis. Be sure to provide a thorough analysis of your final model (residual diagnostics) and provide assessments of its accuracy. What insights are available based on your regression model?arrow_forwardI want to make sure that I included all possible variables and observations. There is a considerable amount of data in the images below, but not all of it may be useful for your purposes. Are there variables contained in the file that you would exclude from a forecast model to determine football magazine sales in Year 10? If so, why? Are there particular observations of football magazine sales from previous years that you would exclude from your forecasting model? If so, why?arrow_forward
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