Need to be solved part a only (a) Log-linear models are often used to model contingency tables. Interms of table and model counts for a two-way table, what is thesignificance of including (i) an intercept? (ii) an intercept andprecisely one factor? (iii) an intercept and both main factors?4.(b) A market researcher is interested in the factors that might effectmovie ratings and has found the following table that gives thenumber of films by category of ratings and film release year,2000 2005 2010 20157.5 – 7.75423739267.75 – 8374540398 - 8.25151116118.25 – 8.58678Columns two through to four are the first year of the five yearperiod during which the films were released. Rows two through tofour are the category of film rating scores.The market research calculated two log-linear models (below) thefirst with both factors included and the second with just the ratingsfactor.

Given information: 2000 2005 2010 2015 7.5 to 7.75 42 37 39 26 7.75 to 8 37 45 40 39 8 to…

Answered: (a) Log-linear models are often used to…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter9: Quadratic Functions And Equations

Section9.8: Analyzing Functions With Successive Differences

Problem 35HP

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C (gross cost of UPS Inc. in billions of $) and R (gross revenue of UPS Inc. in billions of $) O E (years since 2010) and P (gross profit of UPS Inc. in billions of $) (b) Find an equation for a model of these data. (Use the first and last values in the table to calculate your equation. Round the slope and the vertical intercept to one decimal place. Note th -Select- () Give a reasonable domain and range for this model. domain O (-10, 10] O [11, 15] O -0, 0) O [0, 20] O [-2, 8] range [41.9, 47.8] O [-50, 50] [37.3, 52.3] [0, 100] O (-o, co) (d) What is the slope of your model? Explain its meaning in this situation. (Round your slope to one decimal place. Do not include units in your answer.) The slope is This means that the gross profit for UPS Inc. --Select--- by about that value in billions of dollars each year. (e) Estimate the gross profit for UPS in 2019. (Round your answer to the nearest tenth of a billion dollars. Include units in your answer. More information.) In 2019, the…
Solve the problem. 1) The number of adults in a certain county with a college degree has been rising since the year 2005. Let x represent the number of years since the year 2000, and lety represent the number of 1000s of adults in the county with a college degree for year X. Number of Years Number of Adults with a College Since 2005 (x) Degree (y in 1000s) 10 4 18 6. 52 (a) Use the data to create a model of the form y = ax² + bx + c. (b) Use the model to approximate the number of adults in the county who will have a college degree for the year 2015.
A statistical program is recommended. The owner of Showtime Movie Theaters, Inc., would like to predict weekly gross revenue as a function of advertising expenditures. Historical data for a sample of eight weeks follow. Weekly Gross Television Advertising ($1,000s) Newspaper Advertising ($1,000s) Revenue ($1,000s) 96 5.0 1.5 90 2.0 2.0 95 4.0 1.5 92 2.5 2.5 95 3.0 3.3 94 3.5 2.3 94 2.5 4.2 94 3.0 2.5 (a) Develop an estimated regression equation with the amount of television advertising as the independent variable. (Round your numerical values to two decimal places. Let x, represent the amount of television advertising in $1,000s and y represent the weekly gross revenue in $1,000s.) (b) Develop an estimated regression equation with both television advertising and newspaper advertising as the independent variables. (Round your numerical values to two decimal places. Let x, represent the amount of television advertising in $1,000s, x, represent the amount of newspaper advertising in…
The November 24, 2001, issue of The Economist published economic data for 15 industrialized nations. Included were the percent changes in gross domestic product (GDP), industrial production (IP), consumer prices (CP), and producer prices (PP) from Fall 2000 to Fall 2001, and the unemployment rate in Fall 2001 (UNEMP). An economist wants to construct a model to predict GDP from the other variables. A fit of the model GDP = , + P,IP + 0,UNEMP + f,CP + P,PP + € yields the following output: The regression equation is GDP = 1.19 + 0.17 IP + 0.18 UNEMP + 0.18 CP – 0.18 PP Predictor Coef SE Coef тР Constant 1.18957 0.42180 2.82 0.018 IP 0.17326 0.041962 4.13 0.002 UNEMP 0.17918 0.045895 3.90 0.003 CP 0.17591 0.11365 1.55 0.153 PP -0.18393 0.068808 -2.67 0.023 Predict the percent change in GDP for a country with IP = 0.5, UNEMP = 5.7, CP = 3.0, and PP = 4.1. a. b. If two countries differ in unemployment rate by 1%, by how much would you predict their percent changes in GDP to differ, other…
A researcher wants to investigate the relationship between the hours a student spends studying for a test and the score on the test. The following data is gathered: Hours (x) 20 16 34 23 27 32 18 22 Score (y) 6.5 8.5 7 9.5 7.5 8 Annual (X-X) salary, $1000 Years of (Y-Y) (X-X)(Y-Ÿ) (X-X)? (Y-7)² schooling 20 6.5 -4 -1.25 16 1.5625 16 6. -8 -1.75 14 64 3.0625 34 8.5 10 0.75 7.5 100 0.5625 23 7 -1 -0.75 0.75 1 0.5625 27 3 1.25 3.75 9. 1.5625 32 9.5 8. 1.75 14 64 3.0625 18 7.5 -6 -0.25 1.5 36 0.0625 22 8 -2 0.25 -0.5 4 0.0625 192 62 46 294 10.5 Calculate: a. The regression line of y based on x. b. The estimated test score for a person who studied 28 hours.
Need to be done part b only in 25 minutes
(a) You are given the following trend equation by the method of least squares of a ´company selling readymade garments : Y = 480 + 36 X Origin 1988 X= Unit of one year Y = number of units sold per year (i) Convert the above trend equation into a monthly trend equation; and (ii) Estimate the sales for the month of Oct. 1994.
If data set has a relationtionship that is best described by a linear model, then the residual plot will
+ + 12 15 18 21 Infant Mortality Rate per 1000 Births 10. The director of admissions in a small college administered a newly designed entrance te 100 students selected at random from the upcoming freshman class. The purpose of this stuc was to determine whether students' grade point average (GPA) at the end of the freshman ye can be predicted from the entrance test score. At the end of the year when all the data are available, what would be the graph you would use to display the data? A. A histogram of the entrance test scores. B. A histogram of the GPAS. C. A scatterplot with GPA on the y-axis and the entrance test scores on the x-axis. D. A scatter plot with the entrance test scores on the y-axis and GPA on the x-axis. 11. Climatologists can estimate the amount of rainfall in California on a year by year basis ove the last two thousand years by looking at the distance between the rings in very old redwood trees that have recently fallen (the idea being that the tree would grow faster…
1. If the second differences of a set of data are nearly constant, which model-linear, quadratic, or exponential-would be most appropriate to represent the data?
(d) What percentage of the variation in diastolic blood pressure can be explained by systolic blood pressure? (e) Find an equation of the least-squares regression line for systolic blood pressure and diastolic blood pressure. A blood pressure measurement consists of two numbers: the systolic pressure, which is the maximum pressure taken when the heart is contracting, and the diastolic pressure, which is the minimum pressure taken at the beginning of the heartbeat. Blood pressures taken at rest were measured, in millimeters, for a sample of 15 adults. The following table presents the results. 130 116 133 112 107 110 105 157 154 Systolic Diastolic 134 115 113 123 119 118 87 83 77 77 69 88 76 70 91 75 71 74 66 103 94 Below is a scatterplot of the data set.
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