←The graphs show the percentage of high school seniors who had ever used alcohol or marijuana.The data can be described by the following mathematical models, where n is the number of yearsafter 1990, A is the percentage of seniors using alcohol, and M is the percentage of seniors usingmarijuana..A=0.9n+ 56M= -0.5n +31***PercentageAlcohol and Marijuana Use by HighSchool Seniors80+70-60-50-40-30+20-10-Alcohola. Use the appropriate line graph to estimate the percentage of seniors who had ever used marijuana in 2019.Marijuana0+1990 1995 2000 2005 2010 2015 2019Year

The data of percentage of high school seniors who had ever used alcohol or marijuana is givennow we…

Answered: The graphs show the percentage of high…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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A biology student is investigating the claim that the temperature can be predicted by counting cricket chirps. She has found a linear regression equation T=42.2+0.21r, where T is the temperature in degrees Fahrenheit and r is the number of chirps per minute. What is the predicted temperature for 90 chirps per minute? 18.9 degrees 227.6 degrees 23.3 degrees 61.1 degrees
Mary used a sample of 68 large U.S. cities to estimate the relationship between Crime (annual property crimes per 100,000 persons) and Income (median annual income per capita, in dollars). Her estimated regression equation was Crime = 428 + 0.050 Income. If Income decreases by 500, we would expect that Crime will Group of answer choices remain unchanged. decrease by 25. increase by 500. decrease by 50.
The U.S. Bureau of the Census predicted that the population of Florida would be about 17.4 million in 2030 and then would increase by about 0.22 million per year until 2030. Which of the following linear models predicts the population, y, of Florida (in millions) in terms of x, the number of years since 2010. O y = 17.4x + 0.22 O y = -0.22x + 17.4 O y = 0.22x + 17.4 Oy = -17.4x + 0.22
Music camp enrollment during summer 1995 was 184 students. Over the years, the camp became more popular and in 2013, the enrollment had increased to 1,318 students. Assuming this increase was linear, calculate the rate at which the enrollment had increased. The rate at which the enrollment had increased is____students per year.
In multiple regression, when all independent variables are considered but the order in which they are added to the model is determined by the amount it contributes to the dependent variable, it is called: a.Two step b.Stepwise c.Simultaneous d.Backward step
A random sample of 136 adults were asked to report the number of hours per week the spent on a computer and their number of years of education. The linear model equation below describes the relationship between the mean computers hours and years of education. computers == 9.12 ++ 0.8 ×× education Based on this linear model, which of the following statements is correct? a) An adult who has no years of education is expected to spend 9.12 hours per week on a computer. b) An adult who has 1 more year of education than another is expected to spend 9.12 more hours per week on a computer. c) An adult who spends 1 more hour per week on a computer than another is expected to have had 9.12 more years of education. d) An adult who spend zero hours per week on a computer is expected to have 9.12 years of education.
Degrees Earned The number of postsecondarydegrees earned, in thousands (including associate’s,bachelor’s, master’s, first professional, and doctoral degrees), can be modeled by y = 3.980x2 -17.597x + 2180.899, where x is the number of yearsafter 1990. If this model is accurate, during what yearsfrom 1990 on would the number of postsecondarydegrees earned be less than 3500 thousand?
For nine months, Joan observes the average daily gas consumption for her house and the corresponding average temperature that month. She gets the following scatterplot (with regression line equation presented and drawn in): After collecting the data, Joan had insulation installed in her home. The next month, the average temperature was 30 and her home (with insulation) consumed 682 gas daily. Approximately how much gas did the insulation save her daily that month? Which of the terms does apply to the relationship between temperature and gas consumed?
Scenario: Album Sales: A study was done to see whether getting radio airtime and spending money on advertisements accurately predicts the number of album copies sold. A random sample of 200 artists’ albums were tracked on the number of times their songs play on the central radio station, how much money (in thousands) they spent on advertisements, as well as the number (in thousands) of album copies were sold. A record company wanted to determine if there was a positive relationship between album sales and the other two variables (money spent on advertisements and number of albums sold) What is the Null and alternative hypotheses (based on context of study) in symbols and words:
A. Develop an estimated regression equation that can be used to predict the price of the stock based on the number of shares of company's stocks sold and the volume of exchange. B. Interpret the coefficients of the estimated regression equation that you found in Part a. C. If in a given day, the number of shares of the company that were sold was 94,500 and the volume of exchange on the New York Stock Exchange was 16 million, what would you expect the price of the stock to be?
The data in the table represents the number of new phone calls a company gets each week after opening. Week After Opening Number of Phone Calls 1 80 2 72 3 63 4 58 5 50 Based on a linear model, predict what week the company should expect 35 calls. Only type the whole number answer in the box. Do not type any words in the box.

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