Elementary Statistics: Picturing the World (7th Edition)
7th Edition
ISBN: 9780134683416
Author: Ron Larson, Betsy Farber
Publisher: PEARSON
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Chapter 7.2, Problem 7E
Interpreting a P-Value In Exercises 3–8, the P-value for a hypothesis test is shown. Use the P-value to decide whether to reject H0 when the level of significance is (a) α = 0.01, (b) α = 0.05, and (c) α = 0.10.
7. P = 0.0838
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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 7 Solutions
Elementary Statistics: Picturing the World (7th Edition)
Ch. 7.1 - Write each claim as a mathematical statement....Ch. 7.1 - A company specializing in parachute assembly...Ch. 7.1 - For each claim, state H0 and Ha in words and in...Ch. 7.1 - You perform a hypothesis test for each claim. How...Ch. 7.1 - 1. You represent a chemical company that is being...Ch. 7.1 - What are the two types of hypotheses used in a...Ch. 7.1 - Describe the two types of errors possible in a...Ch. 7.1 - Prob. 3ECh. 7.1 - Does failing to reject the null hypothesis mean...Ch. 7.1 - True or False? In Exercises 510, determine whether...
Ch. 7.1 - True or False? In Exercises 510, determine whether...Ch. 7.1 - True or False? In Exercises 510, determine whether...Ch. 7.1 - True or False? In Exercises 510, determine whether...Ch. 7.1 - True or False? In Exercises 510, determine whether...Ch. 7.1 - True or False? In Exercises 510, determine whether...Ch. 7.1 - Stating Hypotheses In Exercises 1116, the...Ch. 7.1 - Stating Hypotheses In Exercises 1116, the...Ch. 7.1 - Stating Hypotheses In Exercises 1116, the...Ch. 7.1 - Stating Hypotheses In Exercises 1116, the...Ch. 7.1 - Stating Hypotheses In Exercises 1116, the...Ch. 7.1 - Stating Hypotheses In Exercises 1116, the...Ch. 7.1 - Graphical Analysis In Exercises 1720, match the...Ch. 7.1 - Graphical Analysis In Exercises 1720, match the...Ch. 7.1 - Graphical Analysis In Exercises 1720, match the...Ch. 7.1 - Graphical Analysis In Exercises 1720, match the...Ch. 7.1 - Identifying a Test In Exercises 2124, determine...Ch. 7.1 - Identifying a Test In Exercises 2124, determine...Ch. 7.1 - Identifying a Test In Exercises 2124, determine...Ch. 7.1 - Identifying a Test In Exercises 2124, determine...Ch. 7.1 - Stating the Null and Alternative Hypotheses In...Ch. 7.1 - Stating the Null and Alternative Hypotheses In...Ch. 7.1 - Stating the Null and Alternative Hypotheses In...Ch. 7.1 - Stating the Null and Alternative Hypotheses In...Ch. 7.1 - Stating the Null and Alternative Hypotheses In...Ch. 7.1 - Stating the Null and Alternative Hypotheses In...Ch. 7.1 - Identifying Type I and Type II Errors In Exercises...Ch. 7.1 - Identifying Type I and Type II Errors In Exercises...Ch. 7.1 - Identifying Type I and Type II Errors In Exercises...Ch. 7.1 - Identifying Type I and Type II Errors In Exercises...Ch. 7.1 - Identifying Type I and Type II Errors In Exercises...Ch. 7.1 - Identifying Type I and Type II Errors In Exercises...Ch. 7.1 - Identifying the Nature of a Hypothesis Test In...Ch. 7.1 - Identifying the Nature of a Hypothesis Test In...Ch. 7.1 - Identifying the Nature of a Hypothesis Test In...Ch. 7.1 - Identifying the Nature of a Hypothesis Test In...Ch. 7.1 - Identifying the Nature of a Hypothesis Test In...Ch. 7.1 - Identifying the Nature of a Hypothesis Test In...Ch. 7.1 - Interpreting a Decision In Exercises 4348,...Ch. 7.1 - Interpreting a Decision In Exercises 4348,...Ch. 7.1 - Interpreting a Decision In Exercises 4348,...Ch. 7.1 - Interpreting a Decision In Exercises 4348,...Ch. 7.1 - Interpreting a Decision In Exercises 4348,...Ch. 7.1 - Interpreting a Decision In Exercises 4348,...Ch. 7.1 - Writing Hypotheses: Medicine A medical research...Ch. 7.1 - Writing Hypotheses: Transportation Network Company...Ch. 7.1 - Writing Hypotheses: Backpack Manufacturer A...Ch. 7.1 - Writing Hypotheses: Internet Provider An Internet...Ch. 7.1 - Prob. 53ECh. 7.1 - Getting at the Concept Explain why a level of...Ch. 7.1 - Prob. 55ECh. 7.1 - Prob. 56ECh. 7.1 - Graphical Analysis In Exercises 5760, you are...Ch. 7.1 - Graphical Analysis In Exercises 5760, you are...Ch. 7.1 - Graphical Analysis In Exercises 5760, you are...Ch. 7.1 - Graphical Analysis In Exercises 5760, you are...Ch. 7.2 - The P-value for a hypothesis test is P = 0.0745....Ch. 7.2 - Find the P-value for a left-tailed hypothesis test...Ch. 7.2 - Find the P-value for a two-tailed hypothesis test...Ch. 7.2 - Homeowners claim that the mean speed of...Ch. 7.2 - According to a study of employed U.S. adults ages...Ch. 7.2 - Repeat Example 6 using a level of significance of ...Ch. 7.2 - Find the critical value and rejection region for a...Ch. 7.2 - Find the critical values and rejection regions for...Ch. 7.2 - The CEO of the company in Example 9 claims that...Ch. 7.2 - In Example 10, at = 0.01, is there enough...Ch. 7.2 - Explain the difference between the z-test for ...Ch. 7.2 - In hypothesis testing, does using the critical...Ch. 7.2 - Interpreting a P-Value In Exercises 38, the...Ch. 7.2 - Interpreting a P-Value In Exercises 38, the...Ch. 7.2 - Interpreting a P-Value In Exercises 38, the...Ch. 7.2 - Interpreting a P-Value In Exercises 38, the...Ch. 7.2 - Interpreting a P-Value In Exercises 38, the...Ch. 7.2 - Interpreting a P-Value In Exercises 38, the...Ch. 7.2 - Finding a P-Value In Exercises 914, find the...Ch. 7.2 - Finding a P-Value In Exercises 914, find the...Ch. 7.2 - Finding a P-Value In Exercises 914, find the...Ch. 7.2 - Finding a P-Value In Exercises 914, find the...Ch. 7.2 - Finding a P-Value In Exercises 914, find the...Ch. 7.2 - Finding a P-Value In Exercises 914, find the...Ch. 7.2 - Graphical Analysis In Exercises 15 and 16, match...Ch. 7.2 - Graphical Analysis In Exercises 15 and 16, match...Ch. 7.2 - In Exercises 17 and 18, use the TI-84 Plus...Ch. 7.2 - In Exercises 17 and 18, use the TI-84 Plus...Ch. 7.2 - Finding Critical Values and Rejection Regions In...Ch. 7.2 - Finding Critical Values and Rejection Regions In...Ch. 7.2 - Finding Critical Values and Rejection Regions In...Ch. 7.2 - Finding Critical Values and Rejection Regions In...Ch. 7.2 - Finding Critical Values and Rejection Regions In...Ch. 7.2 - Finding Critical Values and Rejection Regions In...Ch. 7.2 - Graphical Analysis In Exercises 25 and 26, state...Ch. 7.2 - Graphical Analysis In Exercises 25 and 26, state...Ch. 7.2 - In Exercises 2730, test the claim about the...Ch. 7.2 - In Exercises 2730, test the claim about the...Ch. 7.2 - In Exercises 2730, test the claim about the...Ch. 7.2 - In Exercises 2730, test the claim about the...Ch. 7.2 - Hypothesis Testing Using a P-Value In Exercises...Ch. 7.2 - Hypothesis Testing Using a P-Value In Exercises...Ch. 7.2 - Hypothesis Testing Using a P-Value In Exercises...Ch. 7.2 - Hypothesis Testing Using a P-Value In Exercises...Ch. 7.2 - Hypothesis Testing Using a P-Value In Exercises...Ch. 7.2 - Hypothesis Testing Using a P-Value In Exercises...Ch. 7.2 - Hypothesis Testing Using Rejection Region(s) In...Ch. 7.2 - Hypothesis Testing Using Rejection Region(s) In...Ch. 7.2 - Hypothesis Testing Using Rejection Region(s) In...Ch. 7.2 - Hypothesis Testing Using Rejection Region(s) In...Ch. 7.2 - Hypothesis Testing Using Rejection Region(s) In...Ch. 7.2 - Hypothesis Testing Using Rejection Region(s) In...Ch. 7.2 - Writing When P , does the standardized test...Ch. 7.2 - Writing In a right-tailed test where P , does the...Ch. 7.3 - Find the critical value for a left-tailed test...Ch. 7.3 - Find the critical value t0 for a right-tailed lest...Ch. 7.3 - Find the critical values t0 and t0 for a...Ch. 7.3 - An industry analyst says that the mean age of a...Ch. 7.3 - The company in Example 5 claims that the mean...Ch. 7.3 - Another department of motor vehicles office claims...Ch. 7.3 - Explain how to find critical values for a...Ch. 7.3 - Explain how to use a t-test to test a hypothesized...Ch. 7.3 - In Exercises 38, find the critical value(s) and...Ch. 7.3 - In Exercises 38, find the critical value(s) and...Ch. 7.3 - In Exercises 38, find the critical value(s) and...Ch. 7.3 - In Exercises 38, find the critical value(s) and...Ch. 7.3 - In Exercises 38, find the critical value(s) and...Ch. 7.3 - In Exercises 38, find the critical value(s) and...Ch. 7.3 - Graphical Analysis In Exercises 912, state whether...Ch. 7.3 - Graphical Analysis In Exercises 912, state whether...Ch. 7.3 - Graphical Analysis In Exercises 912, state whether...Ch. 7.3 - Graphical Analysis In Exercises 912, state whether...Ch. 7.3 - In Exercises 1318, test the claim about the...Ch. 7.3 - In Exercises 1318, test the claim about the...Ch. 7.3 - In Exercises 1318, test the claim about the...Ch. 7.3 - In Exercises 1318, test the claim about the...Ch. 7.3 - In Exercises 1318, test the claim about the...Ch. 7.3 - In Exercises 1318, test the claim about the...Ch. 7.3 - Hypothesis Testing Using Rejection Regions In...Ch. 7.3 - Hypothesis Testing Using Rejection Regions In...Ch. 7.3 - Hypothesis Testing Using Rejection Regions In...Ch. 7.3 - Hypothesis Testing Using Rejection Regions In...Ch. 7.3 - Hypothesis Testing Using Rejection Regions In...Ch. 7.3 - Hypothesis Testing Using Rejection Regions In...Ch. 7.3 - Hypothesis Testing Using Rejection Regions In...Ch. 7.3 - Hypothesis Testing Using Rejection Regions In...Ch. 7.3 - Using a P-Value with a t-Test In Exercises 2730,...Ch. 7.3 - Using a P-Value with a t-Test In Exercises 2730,...Ch. 7.3 - Using a P-Value with a t-Test In Exercises 2730,...Ch. 7.3 - Using a P-Value with a t-Test In Exercises 2730,...Ch. 7.3 - Deciding on a Distribution In Exercises 31 and 32,...Ch. 7.3 - Prob. 32ECh. 7.3 - Writing You are testing a claim and incorrectly...Ch. 7.3 - Set n = 15, Mean = 40, Std. Dev. = 5, and the...Ch. 7.3 - Prob. 2ACh. 7.3 - Set n = 25, Mean = 25, Std. Dev. = 3, and the...Ch. 7.3 - Human Body Temperature: Whats Normal? In an...Ch. 7.3 - Human Body Temperature: Whats Normal? In an...Ch. 7.3 - Human Body Temperature: Whats Normal? In an...Ch. 7.3 - Human Body Temperature: Whats Normal? In an...Ch. 7.3 - Human Body Temperature: Whats Normal? In an...Ch. 7.3 - In an article in the Journal of Statistics...Ch. 7.4 - A researcher claims that more than 90% of U.S....Ch. 7.4 - A researcher claims that 67% of U.S. adults...Ch. 7.4 - Explain how to determine whether a normal...Ch. 7.4 - Explain how to test a population proportion p.Ch. 7.4 - In Exercises 36, determine whether a normal...Ch. 7.4 - In Exercises 36, determine whether a normal...Ch. 7.4 - In Exercises 36, determine whether a normal...Ch. 7.4 - In Exercises 36, determine whether a normal...Ch. 7.4 - Hypothesis Testing Using Rejection Regions In...Ch. 7.4 - Hypothesis Testing Using Rejection Regions In...Ch. 7.4 - Hypothesis Testing Using Rejection Regions In...Ch. 7.4 - Working Students An education researcher claims...Ch. 7.4 - Hypothesis Testing Using Rejection Regions In...Ch. 7.4 - Hypothesis Testing Using Rejection Regions In...Ch. 7.4 - Hypothesis Testing Using a P-Value In Exercises...Ch. 7.4 - Hypothesis Testing Using a P-Value In Exercises...Ch. 7.4 - Hypothesis Testing Using a P-Value In Exercises...Ch. 7.4 - Hypothesis Testing Using a P-Value In Exercises...Ch. 7.4 - Protecting the Environment In Exercises 17 and 18,...Ch. 7.4 - What Are Peoples Attitudes About Protecting the...Ch. 7.4 - Alternative Formula In Exercises 19 and 20, use...Ch. 7.4 - The alternative formula is derived from the...Ch. 7.4 - Set n = 25 and True p = 0.35. Test the claim that...Ch. 7.4 - Prob. 2ACh. 7.5 - Find the critical value02 right-tailed test when n...Ch. 7.5 - Prob. 2TYCh. 7.5 - Prob. 3TYCh. 7.5 - A bottling company claims that the variance of the...Ch. 7.5 - Prob. 5TYCh. 7.5 - A company that offers dieting products and weight...Ch. 7.5 - Explain how to find critical values in a...Ch. 7.5 - Can a critical value for the chi-square test be...Ch. 7.5 - Prob. 3ECh. 7.5 - Prob. 4ECh. 7.5 - In Exercises 512, find the critical value(s) and...Ch. 7.5 - In Exercises 512, find the critical value(s) and...Ch. 7.5 - In Exercises 512, find the critical value(s) and...Ch. 7.5 - In Exercises 512, find the critical value(s) and...Ch. 7.5 - In Exercises 512, find the critical value(s) and...Ch. 7.5 - In Exercises 512, find the critical value(s) and...Ch. 7.5 - In Exercises 512, find the critical value(s) and...Ch. 7.5 - In Exercises 512, find the critical value(s) and...Ch. 7.5 - Graphical Analysis In Exercises 13 and 14, state...Ch. 7.5 - Prob. 14ECh. 7.5 - In Exercises 1522, test the claim about the...Ch. 7.5 - Prob. 16ECh. 7.5 - In Exercises 1522, test the claim about the...Ch. 7.5 - In Exercises 1522, test the claim about the...Ch. 7.5 - In Exercises 1522, test the claim about the...Ch. 7.5 - Prob. 20ECh. 7.5 - In Exercises 1522, test the claim about the...Ch. 7.5 - In Exercises 1522, test the claim about the...Ch. 7.5 - Hypothesis Testing Using Rejection Regions In...Ch. 7.5 - Hypothesis Testing Using Rejection Regions In...Ch. 7.5 - Hypothesis Testing Using Rejection Regions In...Ch. 7.5 - Hypothesis Testing Using Rejection Regions In...Ch. 7.5 - Hypothesis Testing Using Rejection Regions In...Ch. 7.5 - Hypothesis Testing Using Rejection Regions In...Ch. 7.5 - Hypothesis Testing Using Rejection Regions In...Ch. 7.5 - Hypothesis Testing Using Rejection Regions In...Ch. 7.5 - Prob. 31ECh. 7.5 - Prob. 32ECh. 7.5 - Prob. 33ECh. 7.5 - Prob. 34ECh. 7 - EXERCISES In Exercises 13, assume that you work...Ch. 7 - Describe how your report could make a type I...Ch. 7 - Prob. 3UACh. 7 - In Exercises 16, the statement represents a claim....Ch. 7 - In Exercises 16, the statement represents a claim....Ch. 7 - Prob. 7.1.3RECh. 7 - In Exercises 16, the statement represents a claim....Ch. 7 - Prob. 7.1.5RECh. 7 - In Exercises 16, the statement represents a claim....Ch. 7 - In Exercises 710, (a) state the null and...Ch. 7 - Prob. 7.1.8RECh. 7 - Prob. 7.1.9RECh. 7 - In Exercises 710, (a) state the null and...Ch. 7 - In Exercises 11 and 12, find the P-value for the...Ch. 7 - Prob. 7.2.12RECh. 7 - Prob. 7.2.13RECh. 7 - In Exercises 1316, find the critical value(s) and...Ch. 7 - Prob. 7.2.15RECh. 7 - Prob. 7.2.16RECh. 7 - Prob. 7.2.17RECh. 7 - In Exercises 1720, state whether the standardized...Ch. 7 - In Exercises 1720, state whether the standardized...Ch. 7 - In Exercises 1720, state whether the standardized...Ch. 7 - In Exercises 2124, test the claim about the...Ch. 7 - In Exercises 2124, test the claim about the...Ch. 7 - In Exercises 2124, test the claim about the...Ch. 7 - Prob. 7.2.24RECh. 7 - In Exercises 25 and 26, (a) identify the claim and...Ch. 7 - In Exercises 25 and 26, (a) identify the claim and...Ch. 7 - In Exercises 27 and 28, (a) identify the claim and...Ch. 7 - In Exercises 27 and 28, (a) identify the claim and...Ch. 7 - Prob. 7.3.29RECh. 7 - In Exercises 2934, find the critical value(s) and...Ch. 7 - In Exercises 2934, find the critical value(s) and...Ch. 7 - Prob. 7.3.32RECh. 7 - Prob. 7.3.33RECh. 7 - In Exercises 2934, find the critical value(s) and...Ch. 7 - Prob. 7.3.35RECh. 7 - Prob. 7.3.36RECh. 7 - In Exercises 3540, test the claim about the...Ch. 7 - In Exercises 3540, test the claim about the...Ch. 7 - Prob. 7.3.39RECh. 7 - Prob. 7.3.40RECh. 7 - In Exercises 41 and 42, (a) identify the claim and...Ch. 7 - In Exercises 41 and 42, (a) identify the claim and...Ch. 7 - In Exercises 43 and 44, (a) identify the claim and...Ch. 7 - Prob. 7.3.44RECh. 7 - Prob. 7.4.45RECh. 7 - In Exercises 4548, determine whether a normal...Ch. 7 - Prob. 7.4.47RECh. 7 - In Exercises 4548, determine whether a normal...Ch. 7 - Prob. 7.4.49RECh. 7 - In Exercises 49 and 50, (a) identify the claim and...Ch. 7 - Prob. 7.5.51RECh. 7 - Prob. 7.5.52RECh. 7 - Prob. 7.5.53RECh. 7 - Prob. 7.5.54RECh. 7 - Prob. 7.5.55RECh. 7 - Prob. 7.5.56RECh. 7 - Prob. 7.5.57RECh. 7 - In Exercises 5558, test the claim about the...Ch. 7 - Prob. 7.5.59RECh. 7 - Prob. 7.5.60RECh. 7 - Prob. 7.5.61RECh. 7 - Prob. 7.5.62RECh. 7 - Take this quiz as you would take a quiz in class....Ch. 7 - Prob. 2CQCh. 7 - Take this quiz as you would take a quiz in class....Ch. 7 - Prob. 4CQCh. 7 - Prob. 5CQCh. 7 - Prob. 6CQCh. 7 - Take this test as you would take a test in class....Ch. 7 - Take this test as you would take a test in class....Ch. 7 - Take this test as you would take a test in class....Ch. 7 - Take this test as you would take a test in class....Ch. 7 - Take this quiz as you would take a quiz in class....Ch. 7 - Take this test as you would take a test in class....Ch. 7 - Take this quiz as you would take a quiz in class....Ch. 7 - Supporting a Claim You want your test to support a...Ch. 7 - Testing a Claim You want to claim that students at...Ch. 7 - Testing a Claim You want to claim that your...Ch. 7 - EXERCISES 1. The Minilab display below shows a...Ch. 7 - In Exercise 1, you rejected the claim that p =...Ch. 7 - Describe a hypothesis test for Judge Fords random...
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- 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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