I need all answers typing The following table shows the average annual Income in a certain country, adjusted for inflation, for the given year.t years since 1980 I annual income0$23,1095$23,21610$25,38415$26,69420$30,719$30,450$28,7382530(a) Find the equation of the regression line. (Round regression line parameters to two decimal places.)I(t)=(b) Plot the data along with the regression line.I40 00030 00020 00010 0001020304050I40 00040 00040 00030 00030 00030 00020 00010000200001000020 000100001020304050 O10203040501020304050(c) Explain in practical terms the meaning of the slope of the regression equation. (Round your answers to two decimal places.)The slope of the regression line isdollars per year. The slope means that, from 1980 on, the average annual income (adjusted for inflation) grew by $each year.(d) During which year since 1990 was income much lower than would be expected from the regression model?O 1995© 2000O 20052010

Given :- The Table shows the annual income in a certain country , adjusted for inflation.We are to…

The following table shows the average annual income in a certain country, adjusted for inflation, for the given year. t years since 1980 I annual income 0 $23,109 5 $23,216 10 $25,384 15 $26,694 20 $30,719 25 30 $30,450 $28,738 (a) Find the equation of the regression line. (Round regression line parameters to two decimal places.) I(t)- (b) Plot the data along with the regression line. 40 000 30 000 20 000 10 000 40 000 40 000 40 000 30 000 30 000 30 000 20 000 10000 t 10 20 30 40 50 10 20 30 40 50 20000 10000 20 000 10000 10 20 30 40 50 10 20 30 40 50 (c) Explain in practical terms the meaning of the slope of the regression equation. (Round your answers to two decimal places.) The slope of the regression line is dollars per year. The slope means that, from 1980 on, the average annual income (adjusted for inflation) grew by $ each year. (d) During which year since 1990 was income much lower than would be expected from the regression model?

The following table shows the average annual income in a certain country, adjusted for inflation, for the given year. t years since 1980 I annual income 0 $23,109 5 $23,216 10 $25,384 15 $26,694 20 $30,719 25 30 $30,450 $28,738 (a) Find the equation of the regression line. (Round regression line parameters to two decimal places.) I(t)- (b) Plot the data along with the regression line. 40 000 30 000 20 000 10 000 40 000 40 000 40 000 30 000 30 000 30 000 20 000 10000 t 10 20 30 40 50 10 20 30 40 50 20000 10000 20 000 10000 10 20 30 40 50 10 20 30 40 50 (c) Explain in practical terms the meaning of the slope of the regression equation. (Round your answers to two decimal places.) The slope of the regression line is dollars per year. The slope means that, from 1980 on, the average annual income (adjusted for inflation) grew by $ each year. (d) During which year since 1990 was income much lower than would be expected from the regression model?

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter3: Straight Lines And Linear Functions

Section3.CR: Chapter Review Exercises

Problem 15CR: Life Expectancy The following table shows the average life expectancy, in years, of a child born in...

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The following fictitious table shows kryptonite price, in dollar per gram, t years after 2006. t= Years since 2006 0 1 2 3 4 5 6 7 8 9 10 K= Price 56 51 50 55 58 52 45 43 44 48 51 Make a quartic model of these data. Round the regression parameters to two decimal places.
Life Expectancy The following table shows the average life expectancy, in years, of a child born in the given year42 Life expectancy 2005 77.6 2007 78.1 2009 78.5 2011 78.7 2013 78.8 a. Find the equation of the regression line, and explain the meaning of its slope. b. Plot the data points and the regression line. c. Explain in practical terms the meaning of the slope of the regression line. d. Based on the trend of the regression line, what do you predict as the life expectancy of a child born in 2019? e. Based on the trend of the regression line, what do you predict as the life expectancy of a child born in 1580?2300
A Dubious Model of Oil Prices The following table shows the prices of oil in U.S. dollars per barrel, t years since 1990, One analysis involving additional data used a cubic equation to model this data. t Years since 1990 0 2 5 7 10 12 15 17 20 21 P Price, dollars per barrel 18.91 16.22 16.63 18.20 27.04 23.47 49.63 69.04 77.46 106.92 a. Use cubic regression to model these data. Round the regression parameters to four decimal places. b. Plot the data along with the cubic model. c. In the analysis mentioned above, the graph is expanded through 2020. Expand the viewing window to show the model from 1990 to 2020. d. What estimate does the model give for oil prices in 2015? e. The actual price of oil in December of 2015 was about 35 per barrel. What basic principle in the use of models would be violated in relying on the estimate in part d?
Cellular Phone Subscribers The table shows the numbers of cellular phone subscribers y in millions in the United States from 2008 through 2013. Source: CTIA- The Wireless Association Year200820092010201120122013Number,y270286296316326336 (a) Find the least squares regression line for the data. Let x represent the year, with x=8 corresponding to 2008. (b) Use the linear regression capabilities of a graphing utility to find a linear model for the data. How does this model compare with the model obtained in part a? (c) Use the linear model to create a table of estimated values for y. Compare the estimated values with the actual data.
Olympic Pole Vault The graph in Figure 7 indicates that in recent years the winning Olympic men’s pole vault height has fallen below the value predicted by the regression line in Example 2. This might have occurred because when the pole vault was a new event there was much room for improvement in vaulters’ performances, whereas now even the best training can produce only incremental advances. Let’s see whether concentrating on more recent results gives a better predictor of future records. (a) Use the data in Table 2 (page 176) to complete the table of winning pole vault heights shown in the margin. (Note that we are using x=0 to correspond to the year 1972, where this restricted data set begins.) (b) Find the regression line for the data in part ‚(a). (c) Plot the data and the regression line on the same axes. Does the regression line seem to provide a good model for the data? (d) What does the regression line predict as the winning pole vault height for the 2012 Olympics? Compare this predicted value to the actual 2012 winning height of 5.97 m, as described on page 177. Has this new regression line provided a better prediction than the line in Example 2?