The table shows the number of internet users worldwide since 1994.(A) Let x represent the number of years since 1994 and find an exponential regression model (y ab*) for this data set(B) Use the model to estimate the number of hosts in 2022 (to the nearest million).(A) Write the regression equation yab-0-0(Round to four decimal places as needed.)Year1994199720002003200620092012Internet Users (millions)Users2417.468.8173.5412.8656.5824.3

Given the data as Year Users 1994 2.4 1997 17.4 2000 68.8 2003 173.5 2006 412.8 2009…

Answered: The table shows the number of internet…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Analysis of the relationship between the fuel economy (combinedMPG) and displacement (in liters) for 1262 models of cars produces the regression model combinedMPH = 33.472 - 3.317Displacement. Explain what the slope means.
A regression was run to determine if there is a relationship between hours of TV watched per day (x) and number of situps a person can do (y).The results of the regression were:ŷ=a+bx a=38.98 b=-1.245 r2=0.802816 r=-0.896 Use this to predict the number of situps a person who watches 9 hours of TV can do (to one decimal place)
Scenario: A medical researcher wishes to see whether there is a relationship between a person's age, cholesterol level, and systolic blood pressure. Eight people are randomly selected. The data is listed in the table. First, find the multiple regression equation. Next, determine the coefficient of determination. Then, use the regression equation to predict a person's blood pressure reading if the person selected is 50 years old with a cholesterol reading of 220. Age Cholesterol level Blood pressure Person 1 38 220 116 Person 2 41 225 120 Person 3 45 200 123 Person 4 48 190 131 Person 5 51 250 142 Person 6 53 215 145 Person 7 57 200 148 Person 8 61 170 150 Discussion Prompts Respond to the following prompts in your initial post: 1. Identify the explanatory variables and response variable for the data. 2. What is the multiple regression equation for the data? 3. What is the coefficient of determination? 4. If a person 50 years old with a cholesterol of 220 is selected, what is that…
A temperature dataset gives y mean April temperature (Fahrenheit) and x = geographic latitude for 20 U.S. cities. The simple linear regression equation for the sample is ŷ = 119 - 1.64x. (a) The value of latitude for a certain city is 41. What is the predicted April temperature for this city? (Round your answer to the nearest tenth.) degrees Fahrenheit (b) The mean April temperature for this city is 48. What is the residual for the city? (Round your answer to the nearest tenth.) degrees Fahrenheit You may need to use the appropriate table in the Appendix of Tables to answer this question.
Suppose that the regression equation that estimates the value of a car (in dollars) based on its age (in years) is given by: Predicted Value = 21375 - 1215 Age. You have an 8-year old car. How much is it worth?
The age and height (in cm) of 400 adult women from Bolivia were measured. A researcher wants to know if age has any effect on height. A linear regression is carried out in Minitab and the following output obtained. Coefficients Term Constant Age (a) Write down the regression model. (b) Interpret the regression coefficient for the fitted model. (c) Use the output from Minitab to explain if the age of a participant affects their height. Percent (d) The normal probability plot of the residuals from this regression model is given below. Do the assumptions of the regression model seem reasonable? Justify your answer. 99.9 8 28 22299229 88 Coef SE Coef 152.94 7.69 0.022 0.231 01 -100 T-Value P-Value VIF 19.90 0.000 0.10 0.924 1.00 -50 Normal Probability Plot (response is Height) 0 Residual 50 ***** 100 150
Researchers studying tigers collected data on the length (in meters) and weight (in kilograms) of the animals. Is there statistically significant evidence that the length of tigers is related to their weight?
You estimate a regression equation that estimates individuals’ yearly income as a function of age (measured in years), years of education, and their score on a standardized intelligence exam (IQ test). The estimated coefficients are: I = 26.3 + 4.21*Age + 7.21*Education + .23 * IQ Where I is income measured in thousands of dollars. Based on the regression results, how much more should an individual earn after attending graduate school for two years? Explain your reasoning.
Listed below are the numbers of cricket chirps in 1 minute and the corresponding temperatures in °F. Find the regression equation, letting chirps in 1 minute be the independent (x) variable. Find the best predicted temperature at a time when a cricket chirps 3000 times in 1 minute, using the regression equation. What is wrong with this predicted temperature? Chirps in 1 min Temperature ("F) 860 O 85.8 69.9 1110 765 864 1188 1171 1232 1167 82.9 67.6 70.4 84.5 89 93.9 The regression equation is y =+ (Ox. (Round the y-intercept to one decimal place as needed. Round the slope to four decimal places as needed.)
Biochemical oxygen demand (BOD) measures organic pollutants in water by measuring the amount of oxygen consumed by microorganisms that break down these compounds. BOD is hard to measure accurately. Total organic carbon (TOC) is easy to measure, so it is common to measure TOC and use regression to predict BOD. A typical regression equation for water entering a municipal treatment plant is BOD = -55.47 + 1.505 TOC Both BOD and TOC are measured in milligrams per liter of water. (a) What does the slope of this line say about the relationship between BOD and TOC? TOC rises (falls) by 1.505 mg/l for every 55.47 mg/l increase (decrease) in BOD BOD rises (falls) by 55.47 mg/l for every 1 mg/l increase (decrease) in TOC TOC rises (falls) by 1.505 mg/l for every 1 mg/l increase (decrease) in BOD BOD rises (falls) by 1.505 mg/l for every 1 mg/l increase (decrease) in TOC
A biologist wants to predict the height of male giraffes, y, in feet, given their age, x1, in years, weight, x2, in pounds, and neck length, x3, in feet. She obtains the multiple regression equation yˆ=7.36+0.00895x1+0.000426x2+0.913x3. Predict the height of a 12-year-old giraffe that weighs 3,100 pounds and has a 7-foot-long neck, rounding to the nearest foot.
The following table shows the approximate amount of trash produced in an industrialized country from 1980 to 2000. Let x represent the year after 1980 (1980 is year 0) and y represent the amount of trash (millions of tons). Year Million Tons 1980 149 1990 205 2000 224 (a) Draw the graph for this data. (b) Find the equation of the regression line for the data. (Round your answers to one decimal place.)y = x + (c) Use the equation to predict the amount of trash y that will be produced in 2010 and 2015. (Round your answers to one decimal place.) in 2010 million tons in 2015 million tons

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