Use a graphing calculator to find a linear regression model for the men's 100-meter freestyle data given in the table on the right, where x is years since 1980 and y is winning time (in seconds). Do the same for the women's 100-meter freestyle data. Do these models indicate that the women will eventually catch up with the men? CE The men's linear regression model is y= (Round regression coefficients to three decimal places as needed.) The women's linear regression model is y= (Round regression coefficients to three decimal places as needed.) Based on the regression models, will the women's times eventually catch up with the men's times? O No OYes 1980 1984 1988 1992 1996 2000 2004 2008 100-Meter Freestyle Men 50.40 49.80 48.63 49.02 48.74 48.30 48.17 47.38 Women 54.79 55.92 54.93 54.65 54.50 53.83 53.84 53.12

Use a graphing calculator to find a linear regression model for the men's 100-meter freestyle data given in the table on the right, where x is years since 1980 and y is winning time (in seconds). Do the same for the women's 100-meter freestyle data. Do these models indicate that the women will eventually catch up with the men? CE The men's linear regression model is y= (Round regression coefficients to three decimal places as needed.) The women's linear regression model is y= (Round regression coefficients to three decimal places as needed.) Based on the regression models, will the women's times eventually catch up with the men's times? O No OYes 1980 1984 1988 1992 1996 2000 2004 2008 100-Meter Freestyle Men 50.40 49.80 48.63 49.02 48.74 48.30 48.17 47.38 Women 54.79 55.92 54.93 54.65 54.50 53.83 53.84 53.12

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Related questions

Q: The given paired data lists the heights (in inches) of various males who were measured on their…

A: Given that ; X Y X \cdot YX⋅Y X^2X2 Y^2Y2 52 69 3588 2704 4761 50 66 3300 2500 4356…

Q: Annual high temperatures in a certain location have been tracked for several years. Let X represent…

A: The data related to the number of years after 2000 and the high temperature is given.The independent…

Q: The accompanying data are the number of wins and the earned run averages (mean number of earned…

A: Note: Hey there! Thank you for the question. As you have posted a question with multiple sub-parts,…

Q: Find the regression equation, letting the first variable be the predictor (x) variable. Find the…

A: Given : Internet users per 100(x) Nobel Laureates(y) 79.5 5.6 79.7 24.4 78.3 8.7 45 0.1…

Q: Find the regression equation, letting the first variable be the predictor (x) variable. Using the…

A: Solution-: (a) Find the equation of the regression line (b) The best predicted crash fatality rate…

Q: The following table shows the mass of an object recorded over time. Time (min) Mass (g) 19 30 24…

Q: Use the model to predict the amount of money spent by a customer who spends 11 minutes at the store.…

A: The regression equation is Dollar Spent=4.75+3.23*Time spent When time spent is 11 minutes then…

Q: The average temperature in a certain city has a statistically significant correlation to the monthly…

Q: 3 Click the icon to view the table of numnbers of wins and earned run average. ..... The equation of…

A: Given : X Y 20 2.67 18 3.31 17 2.66 16 3.72 14 3.93 12 4.39 11 3.79 9 5.14

Q: The reason why estimators have a sampling distribution is that: |0|0|0| Economics is not a precise…

Q: please show work and fill in the blank

Q: The following table shows the amount of a chemical substance over time. Time (hours) Amount (mg). 37…

A: Find Regression line equations from the following data, also Estimate y when x = 24 X Y 25 37…

Q: Source DF SS MS F Regression 225.5 Error 8.51 Total Can you…

A: Source DF SS MS F Regression 1 225.5 225.5 26.49824 Error 8 68.08 8.51 Total 9 293.58…

Q: I attached the question

A: Step 1: Generating the regression equation: We have to find the estimated regression line, Where x…

Q: Refer to the data set: (1, 2.5), (2.5, 15), (0.5, 2), (-2, 0.5), (0, 1), (1.5, 5) Part a: Make a…

A: Scatter plot The linear regression model is best fit

Q: ssure. er. al places. For subtractive or negative numbers use a minus sign even if there is a + sign…

Q: Write the equation of the regression line. You can round your numbers to two decimal places. The…

A: The relationship between the independent and dependent variable explained using the regression…

Q: The annual profits for a company are given in the following table, where x represents the number of…

A: Given, Years since 2004 (x) Profits (y)(in thousands of dollars) 0 110 1 137 2 135 3 141…

Q: The data in the chart below is for the distance (in cm) to the near point, the point nearest the eye…

A: Data…

Q: measure, so it is common to measure TOC and use regression to predict BOD. A typical regression…

A: The given regression line is BOD=-55.2+1.507TOCBOD is biological oxygen demand.TOC is total organic…

Q: e accompanying data are the number of wins and the eamed run averages (mean number of earned runs…

Q: The accompanying data are the shoe sizes and heights (in inches) of 14 men. Find the equation of…

A: Given data, X Y X*Y X*X 8.5 66.0 561 72.25 9.0 69.0 621 81 9 67.5 607.5 81 9.5 70.5…

Q: For a linear regression b1 is the estimated y-intercept, and b0 is the estimated slope of the…

A: The general form of linear regression equation is, y=b0+b1x

Q: 1. Develop a simple linear regression equation for starting salaries using an independent variable…

A: The simple linear regression equation is given by y^=β0+β1x+∈i let X be a independent variables Let…

Q: What is the slope and intercept for the regression equation given this data? X = -5, 34, 56, 0, 61 Y…

A: The given paired observations for the variables X and Y are as follows:XY-513346356460-236150The…

Q: The table below shows the average weekly wages (in dollars) for state government employees and…

Question

K
Use a graphing calculator to find a linear regression model for the men's 100-meter freestyle data given in
the table on the right, where x is years since 1980 and y is winning time (in seconds). Do the same for the
women's 100-meter freestyle data. Do these models indicate that the women will eventually catch up with
the men?
The men's linear regression model is
y= 0
(Round regression coefficients to three decimal places as needed.)
The women's linear regression model is
y =
(Round regression coefficients to three decimal places as needed.)
Based on the regression models, will the women's times eventually catch up with the men's times?
O No
OYes
STTTTTTT
1980
1984
1988
1992
1996
2000
2004
2008
100-Meter Freestyle
Men
50.40
49.80
48.63
49.02
48.74
48.30
48.17
47.38
Women
54.79
55.92
54.93
54.65
54.50
53.83
53.84
53.12

Expert Solution

Step 1

The given data for the men's and women's $100$ -meter freestyle.

Men

Women

1980

1984

1988

1992

1996

2000

2004

2008

50.40

49.80

48.63

49.02

48.74

48.30

48.17

47.38

54.79

55.92

54.93

54.65

54.50

53.83

53.84

53.12

We have to find the linear regression model for both men and women's $100$ -meter freestyle.

Trending now

This is a popular solution!

Step by step

Solved in 3 steps

SEE SOLUTION Check out a sample Q&A here

Similar questions

The accompanying data are the number of wins and the earned run averages (mean number of earned runs allowed per nine innings pitched) for eight baseball pitchers in a recent season. Find the equation of the regression line. Then construct a scatter plot of the data and draw the regression line. Then use the regression equation to predict the value of y for each of the given x-values, if meaningful. If the x-value is not meaningful to predict the value of y, explain why not. (a) x = 5 wins Click the icon to view the table of numbers of wins and earned run average. (b) x = 10 wins (c) x = 21 wins (d) x = 15 wins ERA 6- ERA 6- AERA 6- ERA 6- 4- 4- 4- 4- 2- 2- 2- 2- 0+ 6 0- 0- 0- 12 18 24 6. 12 18 24 12 18 24 6 12 18 24 Wins Wins Wins Wins (a) Predict the ERA for 5 wins, if it is meaningful. Select the correct choice below and, if necessary, fill in the answer box within your choice. A. ŷ= (Round to two decimal places as needed.) B. It is not meaningful to predict this value of y because…
This question has do with linear regression.If I consider attendance in a class versus final grade in the class can you explain where there is a positive and when there is a negative relationship between them.
Refer to the data set:(-1, 2), (1, 3), (1, 5), (2, 7), (3, 8), (4, 11)Part a: Make a scatter plot and determine which type of model best fits the data.Part b: Find the regression equation.Part c: Use the equation from Part b to determine y when x = 10
The data show the bug chirps per minute at different temperatures. Find the regression equation, letting the first variable be the independent (x) variable. Find the best predicted temperature for a time when a bug is chirping at the rate of 3000 chirps per minute. Use a significance level of 0.05. What is wrong with this predicted value? Chirps in 1 min 784 838 822 949 1188 813 Temperature (°F) 65.7 67.8 66.2 79.9 92.3 73.5 What is the regression equation? What is the best-predicted temperature for a time when a bug is chirping at the rate of 3000 chirps per minute? The best predicted temperature when a bug is chirping at 3000chirps per minute are? What is wrong with this predicted value? Choose the correct answer below. A. It is unrealistically high. The value 3000 is far outside of the range of observed values. B. The first variable should have been the dependent variable. C. It is only an…
help ASAP
The number of Master’s degrees granted at a particular university is given for selected years in the table below. Year 2005 2010 2015 2020 Number of Master’s Degrees 58 69 76 83 Use the linear regression equation for this data to predict the number of Master’s degrees that this university will grant in the year 2021. Blank 1. Calculate the answer by read surrounding text. Round to the nearest whole number of Master's degrees.
Calculate two lines of regression and calculate a linear regression equation to model the data given below: years (1980,1985,1990,1995,2000) Enrolment ( 21,25,29,39,47)
A researcher is investigating possible explanations for deaths in traffic accidents. He examined data from 2000 for each of the 52 cities randomly selected in the US. The variables were death and income. Deaths: The number of deaths in traffic accidents per cityIncome: The median income per city The researcher ran a simple linear regression model: Deaths = Bo+B1(Income). Results shown in photo below. Question: Please help me better understand how to use results from photo to find value of R-squared of this simple linear regression model.
Develop a scatterplot and explore the correlation between customer age and net sales by each type of customer (regular/promotion). Use the horizontal axis for the customer age to graph. Find the linear regression line that models the data by each type of customer. Round the rate of changes (slopes) to two decimal places and interpret them in terms of the relation between the change in age and the change in net sales. What can you conclude? Hint: Rate of Change = Vertical Change / Horizontal Change = Change in y / Change in x
The managing director of a consulting group has the accompanying monthly data on total overhead costs and professional labor hours to bill to clients. Complete parts a through c Click the icon to view the monthly data. a. Develop a simple linear regression model between billable hours and overhead costs. Overhead Costs = 247733.3 +(43.2000) x Billable Hours (Round the constant to one decimal place as needed. Round the coefficient to four decimal places as needed. Do not include the $ symbol in your answers.) b. Interpret the coefficients of your regression model. Specifically, what does the fixed component of the model mean to the consulting firm? Interpret the fixed term, bo. if appropriate. Choose the correct answer below. OA. The value of by is the predicted overhead costs for 0 billable hours. OB. For each increase of 1 unit in overhead costs, the predicted billable hours are estimated to increase by bo OC. It is not appropriate to interpret by. because its value is the predicted…
The table below shows the average weekly wages (in dollars) for state government employees and federal government employees for 10 years. Construct and interpret a 99% prediction interval for the average weekly wages of federal government employees when the average weekly wages of state government employees is $925. The equation of the regression line is
The data show the bug chirps per minute at different temperatures. Find the regression equation, letting the first variable be the independent (x) variable. Find the best predicted temperature for a time when a bug is chirping at the rate of 3000 chirps per minute. Use a significance level of 0.05. What is wrong with this predicted value? Chirps in 1 min 924 1150 840 1166 1087 930 Temperature (°F) 77.5 84.6 74.1 91 79.6 79.7 What is the regression equation? What is the best predicted temperature for a time when a bug is chirping at the rate of 3000 chirps per minute? What is wrong with this predicted value? Choose the correct answer below. A. It is unrealistically high. The value 3000 is far outside of the range of observed values. B. The first variable should have been the dependent variable. C. It is only an approximation. An unrounded value would be considered accurate. D. Nothing is wrong with this value. It can be…