15) After declining over the past century, the percentage of men aged 65 and older in the workforce hasbegun to rise in recent years, as shown by the following tableYearPercent of men 65 orolder in the workforce192055.6193054194041.8195045.8096197033.126.8198016.306000,201017.720.5202023.3A) use the regression feature on your calculator to find a cubic function (use CubicReg) that models thedata LET x=0 correspond to the year 1920 and change all the other years accordinglyb) Use your answer in part a to the rate the at which the percent of men aged 65 and older in theworkforce was changing in 1965, 2015 and 2021punn

As per the question we are given th following data table : And we have to find the best fit cubic…

Answered: 15) After declining over the past…

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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O 599.1 O 616.6 O 602.7 596.4
Use the pizza cost and the subway fare in the table below to find the regression equation, letting pizza cost be the predictor (x) variable. (Pizza cost is in dollars per slice, subway fare and CPI are in dollars.) What is the best predicted subway fare when pizza costs $4.01 per slice? Year Pizza Cost Subway Fare CPI 1960 1973 1986 1995 2002 2003 2009 2013 2015 2019 0.148 0.353 0.997 1.247 1.749 2.003 2.250 2.304 2.748 3.003 0.146 0.346 1.001 1.354 1.499 2.002 2.247 2.548 2.750 2.747 29.6 44.4 109.6 152.4 180.0 184.0 214.5 233.0 237.0 252.2 The regression equation is ŷ = + (x. (Round the y-intercept to four decimal places as needed. Round the slope to three decimal places as needed.)
Editor of Astrology Magazine wants to obtain sales forecast value for 2021. Use the given data below and help the editor. Year Quarter Sales 2019 1. 53 2. 51 3. 48 4. 55 2020 1. 53 2. 51 3. 54 4. 52 Use time series regression model and determine sales forecast value for the second quarter of 2021
Use the pizza cost and the subway fare in the table below to find the regression equation, letting pizza cost be the predictor (x) variable. (Pizza cost is in dollars per slice, subway fare and CPI are in dollars.) What is the best predicted subway fare when pizza costs $3.98 per slice? Year Pizza Cost Subway Fare CPI 1960 1973 1986 1995 2002 2003 2009 2013 2015 2019 0.152 0.353 1.000 1.251 1.753 2.003 2.254 2.300 2.747 2.997 0.151 0.346 1.000 1.347 1.497 2.004 2.253 2.551 2.747 2.750 29.6 44.4 109.6 152.4 180.0 184.0 214.5 233.0 237.0 252.2 The regression equation is y=+x. (Round the y-intercept to four decimal places as needed. Round the slope to three decimal places as needed.) The best predicted subway fare when pizza costs $3.98 per slice is $ (Round to the nearest cent as needed.)
Consider the following data set, where y is the final grade in a math class and is the average number of hours the student spent working on math each week. hours/week X 6.5 10 11 12.5 13 14.5 15 17.5 19.5 20 Grade y 66.1 63 71.4 72.5 79.2 94.3 95 91.5 100 98 The regression equation is y = 3x + 41.3. a) Explain what the value of the slope means in this situation, where y is the final grade in a math class and is the average number of hours the student spent working on math each week. O For each additional hour per week that a student studies on average, their final grade will be about 3 points. O For each additional hour per week that a student studies on average, their final grade will be about 41.3 points higher. For each additional hour per week that a student studies on average, their final grade will be about 3 points higher. O For each additional hour per week that a student studies on average, their final grade will be about 41.3 points. b) Explain what the value of the…
Suppose a firm has had the following historic sales figures. Year: 2016 2017 2018 2019 2020 Sales $2,570,000 $3,750,000 $4,380,000 $5,010,000 $5,520,000 What would be the forecast for next year’s sales using regression to estimate a trend?
The following data set shows the entrance exam score (Verbal GMAT) for each of eight MBA students along with his or her grade point average (GPA) upon graduation. 300 300 270 280 360 280 300 290 D 3.7 3.1 3.1 3.2 3.8 2.9 3.8 2.9 A linear regression on the data gives the equation below. Complete parts a through d below. Predicted GPA=0.518224 + 0.009393(GMAT) GMAT GPA a. Calculate the SST. SST= (Round to three decimal places as needed.)
The following table gives the personal savings (in billions of dollars) in the United States for selected years. Year 2005 2010 2011 2012 2013 2014 2015 2016 Personal Savings (billions) $153.8 189.3 187.5 142.0 155.7 152.1 175.6 199.6 5. Find the average rate of change between the years 2010 and 2012. 6. Interpret questions 4 and 5 on the graph. 7. Find the point of inflection of the regression equation and interpret what it means.
The table shows the percents x and numbers y (in millions) of women in the work force for selected years. T 1970 1975 1980 1985 1990 1995 2000 2005 Percent, x 43.3 46.3 51.5 54.5 57.5 58.9 59.9 59.3 Number, y 31.5 37.5 45.5 51.1 56.8 60.9 66.3 69.3 Year (a) Use the regression capabilities of a graphing utility to find the least squares regression line for the data. (Round your coefficients to two decimal places) YM (b) According to this model, approximately how many women enter the labor force for each one-point increase in the percent of women in the labor force? (Round your answer to two decimal places.) million women
Bluereef real estate agent wants to form a relationship between the prices of houses, how many bedrooms, House size in sq ft and Lot Size in sq ft. The data pertaining to 100 houses were processed using MINITAB and the following is an extract of the output obtained:The regression equation is ????? = ? + ???????? + ?????? ???? + ???? ????Predictor Coef SE Coef T PConstant 37718 14177 2.66 **Bedrooms 2306 6994 0.33 0.742House Size 74.3 52.98 * 0.164Lot Size -4.36 17.02 -0.26 0.798S= 25023 R-Sq=56.0% R-Sq(adj)=54.6%Source DF SS MS F PRegression 3 76501718347 25500572782 *** ****Residual Error 96 60109046053 626135896Total 99a) Write out the regression equation. b) Fill in the missing values *, **, *** and ****. c) Use the p-value approach to determine if ? is significant at the 5% significance leveld) Is ? significantly different from -0.5? e) Perform the F test at the 1% level, making sure to state the null and alternative hypotheses. f) Give an interpretation to the term “R-sq” and…
The following 10 questions are pertaining to this Data (Please input this data into an Excel worksheet and do not forget to include a column for the time period Year QTR SUBSCRIBERS 2000 1. 205 2. 400 200 4. 229 2001 236 2. 219 211 200 2002 280 2. 275 3. 261 4. 322 2003 1. 500 2. 230 310 4. 400 2004 1. 325 2. 241 3. 379 4. 316 1 pts The Trend Value (using Regression) for Quarter 1 of 2002 is: O 235.94 O 355.98 O 229.23 O 277.95
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