Predict the percentage of female high school graduates in 2036. Round to the nearest tenth(1 decimal place).do% The percentage of female high school graduates who enrolled in college is given in the tablebelow.Year19701980199020002010College Enrollment Percentages for Females25.530.338.345.650.5Let a represent time (in years) since 1970, and let y represent the corresponding percentageof female high school graduates who enrolled in college.See the Regression page in the Getting Started module for details on creating a regressionmodel.Find the cubic regression modely = F(x) = ax³ + bx² + cx +d,where a is rounded to 6 decimal places, b is rounded to 4 decimal places, c is rounded to 3decimal places, and d is rounded to 1 decimal place.

Let x represent time(in years) since 1970, and let y represent the corresponding percentage of…

Answered: The percentage of female high school…

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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Develop an estimated regression equation with annual income and household size as the independent variables. Can you explain what to put into excel to generate regression, using the data analysis tool Below is the data Income($1000s) HouseholdSize AmountCharged ($) 54 3 4,016 30 2 3,159 32 4 5,100 50 5 4,742 31 2 1,864 55 2 4,070 37 1 2,731 40 2 3,348 66 4 4,764 51 3 4,110 25 3 4,208 48 4 4,219 27 1 2,477 33 2 2,514 65 3 4,214 63 4 4,965 42 6 4,412 21 2 2,448 44 1 2,995 37 5 4,171 62 6 5,678 21 3 3,623 55 7 5,301 42 2 3,020 41 7 4,828 54 6 5,573 30 1 2,583 48 2 3,866 34 5 3,586 67 4 5,037 50 2 3,605 67 5 5,345 55 6 5,370 52 2 3,890 62 3 4,705 64 2 4,157 22 3 3,579 29 4 3,890 39 2 2,972 35 1 3,121 39 4 4,183 54 3 3,730 23 6 4,127 27 2 2,921 26 7 4,603 61 2 4,273 30 2 3,067 22 4 3,074 46 5 4,820 66 4 5,149
Find the equation of the regression line for the given data. Then construct a scatter plot of the data and draw the regression line. (The pair of variables have a significant correlation.) Then use the regression equation to predict the value of y for each of the given x-values, if meaningful. The number of hours 6 students spent for a test and their scores on that test are shown below. Hours spent studying, x Test score, y 2 3 4 (a) x = 2 hours (b) x = 4.5 hours 39 43 51 49 61 71 (c) x = 14 hours (d) x = 3.5 hours Find the regression equation. ý =x+ (O (Round the slope to three decimal places as needed. Round the y-intercept to two decimal places as needed.) Choose the correct graph below. OA. OB. OC. OD. 80- 80- Hours studying Hours studying Hours studying Hours studying (a) Predict the value of y for x = 2. Choose the correct answer below. O A. 47.0 О В. 63.0 О С. 56.6 O D. not meaningful (b) Predict the value of y for x = 4.5. Choose the correct answer below. O A. 63.0 О В. 124.1 O…
Find the equation of the regression line for the given data. Then construct a scatter plot of the data and draw the regression line. (The pair of variables have a significant correlation.) Then use the regression equation to predict the value of y for each of the given x-values, if meaningful. The number of hours 6 students spent for a test and their scores on that test are shown below. Hours spent studying, x D Test score, y Test score 80- 0- E Hours studying Q 0 39 Find the regression equation. ŷ=x+ X (Round the slope to three decimal places as needed. Round the y-intercept to two decimal places as needed.) Choose the correct graph below. OA. G 2 44 OB. 3 50 Test score 80- #R 0 3 48 Hours studying (a) Predict the value of y for x=2. Choose the correct answer below. OA. 49.8 OB. 47.0 OC. 55.5 OD. not meaningful (b) Predict the value of y for x=3.5 Choose the correct answer below. 4 65 Q 6 70 wwx O C. Test score 80+ (a) x=2 hours (c) x = 15 hours 8 Hours studying Q Q O D. 80- (b)x= 3.5…
Find the regression equation, letting the first variable be the predictor (x) variable. Using the listed actress/actor ages in various years, find the best predicted age of the Best Actor winner given that the age of the Best Actress winner that year is 58 years. Is the result within 5 years of the actual Best Actor winner, whose age was 44 years? Best Actress Best Actor27 4129 3529 3658 4430 5131 4745 6228 4961 4022 5843 4557 35 Find the equation of the regression line. Round the constant to one decimal place as needed. Round the coefficient to three decimal places as needed.) The best predicted age of the Best Actor winner given that the age of the Best Actress winner that year is 58 years is Round to the nearest whole number as needed.) Is the result within 5 years of the actual Best Actor winner, whose age was 44 years? years old V the predicted age is V the actual winner's age.
Find the regression equation, letting the first variable be the predictor (x) variable. Using the listed actress/actor ages in various years, find the best predicted age of the Best Actor winner given that the age of the Best Actress winner that year is 28 years. Is the result within 5 years of the actual Best Actor winner, whose age was 50 years? Best Actress 27 30 28 61 30 34 46 28 62 21 45 51 Best Actor 45 37 37 46 52 48 63 50 40 54 42 35 Find the equation of the regression line. + (Round the constant to one decimal place as needed. Round the coefficient to three decimal places as needed.) The best predicted age of the Best Actor winner given that the age of the Best Actress winner that year is 28 years is years old. (Round to the nearest whole number as needed.) Is the result within 5 years of the actual Best Actor winner, whose age was 50 years? the predicted age is the actual winner's age. Enter your answer in each of the answer boxes.
The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states. x y 11.8 14.2 8.4 11.37.1 9.83.9 72.6 5.92.5 6.12.1 5.70.5 4.2 x= thousands of automatic weaponsy = murders per 100,000 residents Determine the regression equation in y = ax + b form and write it below. (Round to 2 decimal places) A) How many murders per 100,000 residents can be expected in a state with 2.2 thousand automatic weapons?Answer = . Round to 3 decimal places.B) How many murders per 100,000 residents can be expected in a state with 1.9 thousand automatic weapons?Answer = .Round to 3 decimal places.
Predict the average lifespan of an animal in years when the incubation/gestation time is 12 months. Animal: Nile crocodile, Aldabra giant tortoise, Lake sturgeon,Galápagos tortoise, Bowhead whale Average Lifespan (in Years):100 152 152 177 211 Incubation/ Gestation (in Months)3 8 0.25 4.7 regression equation and regression line if needed
Find the equation of the regression line for the given data. Then construct a scatter plot of the data and draw the regression line. (The pair of variables have a significant correlation.) Then use the regression equation to predict the value of y for each of the given x-values, if meaningful. The number of hours 6 students spent for a test and their scores on that test are shown below. Hours spent studying, x Test score, y 3. 4 (a) x = 3 hours (c) x = 12 hours (b) x = 3.5 hours 40 45 50 49 65 68 (d) x = 4.5 hours Find the regression equation. (Round the slope to three decimal places as needed. Round the y-intercept to two decimal places as needed.)
Find the equation of the regression line for the given data. Then construct a scatter plot of the data and draw the regression line. (The pair of variables have a significant correlation.) Then use the regression equation to predict the value of y for each of the given x-values, if meaningful. The number of hours 6 students spent for a test and their scores on that test are shown below. Hours spent studying, x Test score, y 4 (a) x = 2 hours (c) x = 13 hours (b) x= 2.5 hours (d) x = 4.5 hours 2 3 5 40 45 52 49 63 70 Find the regression equation. ý =x+ (O (Round the slope to three decimal places as needed. Round the y-intercept to two decimal places as needed.) Choose the correct graph below. O A. OB. OC. OD. 80- 80- Hours studying Hours studying Hours studying Hours studying (a) Predict the value of y for x= 2. Choose the correct answer below. O A. 52.2 О В. 49.2 ОС. 64.2 O D. not meaningful (b) Predict the value of y for x = 2.5. Choose the correct answer below. O A. 115.4 О В. 52.2…
The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states. x 11.3 8.5 y 13.4 7 3.6 2.6 2.2 2.6 0.8 11 10.2 7.4 6 5.7 6.3 4.9 * = thousands of automatic weapons y = murders per 100,000 residents Determine the regression equation in y = ax + b form and write it below. (Round to 2 decimal places) A) How many murders per 100,000 residents can be expected in a state with 10.1 thousand automatic weapons? Answer = Round to 3 decimal places. B) How many murders per 100,000 residents can be expected in a state with 9.9 thousand automatic weapons? Answer = Round to 3 decimal places.
The percentage of adults who smoke in America is given below. Year America 1970 37.4 mon n 1980 33.2 1990 25.3 2000 23.1 2010 19.4 a) Write the linear regression model for A(x), representing the percentage of adult smokers in America x years since 1970. [Use your calculator OR Desmos to find the equation, Round coefficients to the nearest 100"] b) What is the slope of A(x)? Explain its meaning. c) Solve A(x) = 15. Show your work. Explain the meaning of your answer. d) Suppose in 2005, there were approximately 200 million adults in America. Use your model to estimate how many were smokers. Show how you get your answer.
Find the equation of the regression line for the given data. Then construct a scatter plot of the data and draw the regression line. (Each pair of variables has a significant correlation.) Then use the regression equation to predict the value of y for each of the given x-values, if meaningful. The caloric content and the sodium content (in milligrams) for 6 beef hot dogs are shown in the table below. Calories, x Sodium, y (a) x= 150 calories (c) x= 120 calories (b) x= 90 calories (d) x=60 calories 160 180 130 130 80 190 415 465 350 380 270 540 (c) Predict the value of y for x= 120. Choose the correct answer below O A. 347 151 O B. 279.801 O C. 414.501 O D. not meaningful (d) Predict the value of y for x= 60. Choose the correct answer below. O A. 414.501 O B. 212.451 tes O C. 279.801

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