The population of a city is given for several years: Year 2 4 10 14 16 19 Population 316,000 337,000 370,000 394,000 409,000 462,000 What type of equation would best model this data?
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- Find the equation of the regression line for the following data set. x 1 2 3 y 0 3 4A city had a population 50,000 of people in the year 2010. The table models the population, y, after a given number of years, x. What type of model would best fit the data and why?Year No. of Eastern Bluebird 1970 200 1975 300 1980 125 1985 250 1990 425 1995 450 2000 575 2005 675 2010 500 can you please solve f ,g and h a) Make a scatter plot of the number of birds vs. year record. b) Create a table with this data that compares Years Since 1900 vs. the number of birds. Fill in extra columns for Years-Since-Squared and Years*Birds. Complete the table by adding rows for column totals and column averages. c) Calculate the linear regression for this model. e) Calculate the correlation coefficient for this model. f) Translate your linear regression so that the model is now Year vs. Number of birds. g) Add the model to your scatter plot. h) Compute the residual errors for your model. i) Plot your residual errors. j) Interpolate your model to find the number of birds in 1983 and 2001.
- Suppose that an urban geographer is studying historical changes in housing characteristics in London, England. She wishes to determine if house size (square feet of living area) and the number of years since home construction are associated. What method could she use to learn if such a relationship exists.The global mean sea level variations taken from satellite observations in the month of May are given in the table below. The variations are calculated using the base May 1997. for example, the mean sea level in May 2008 was 34.37 mm higher than in May 1997. Find the linear model for the data and use it to predict the change in sea level for the year in 2017. year 1997 1999 2001 2005 2008 2012 2014 Sea level change (mm) 0 4.77 15.25 30.75 34.37 47.84 54.13 A)what method will you use to find the model, polynomial interolation or least squares, why? b) write the equation that must be used to find the model and then write the system of equations. c) wirte the vandermonde matrix and the other matrices that must be used. e) write the MatLab formula to find the model. f) wirte the cubic model(find the values using MatLab)The data in MEAPSINGLE were used to estimate the following equations relating school-level performance on a fourth-grade math test to socioeconomic characteristics of students attending school. The variable free,
- sam and ava compared the weights of their puppies each month during the first half of 2015. The graphs generated from this data are shown belowYear No. of Eastern Bluebird 1970 200 1975 300 1980 125 1985 250 1990 425 1995 450 2000 575 2005 675 2010 500 a) Make a scatter plot of the number of birds vs. year record. b) Create a table with this data that compares Years Since 1900 vs. the number of birds. Fill in extra columns for Years-Since-Squared and Years*Birds. Complete the table by adding rows for column totals and column averages. c) Calculate the linear regression for this model. e) Calculate the correlation coefficient for this model. f) Translate your linear regression so that the model is now Year vs. Number of birds. g) Add the model to your scatter plot. h) Compute the residual errors for your model. i) Plot your residual errors. j) Interpolate your model to find the number of birds in 1983 and 2001.How wide is the chasm between what men and women earn in the workplace? According to a 2015 analysis from a national women's group, women lose $435,049 over the course of a career because of the pay gap. The bar graph to the right shows the average earnings in the United States for men and women at ages 22 and 60. This exercise involves the graphs of models for the data shown in the rectangular coordinate system to the right. Complete parts (a) through (c) below. Average Yearly Earnings in the U.S., by Gender and Age Average Yearly Earnings ($1000s) 70- 60- ■Men 50 Women 40- 30- 20- 10- 0- 22 Age 60 Average Yearly Earnings ($1000s) $70 (30,67) $60- $50 (0,24 $40+ $30 $20 $10 $0+ 0 (0,21) Men (30,40) b. Use the two points for women shown on the graph to find a function in the form W(x) = yearly earnings for women x years after age 22. Women 10 20 30 40 50 Years after Age 22 a. Use the two points for men shown on the graph to find a function in the form M(x) = mx + b that models average…
- How wide is the chasm between what men and women earn in the workplace? According to a 2015 analysis from a national women's group, women lose $435,049 over the course of a career because of the pay gap. The bar graph to the right shows the average earnings in the United States for men and women at ages 22 and 60. This exercise involves the graphs of models for the data shown in the rectangular coordinate system to the right. Complete parts (a) through (c) below. Average Yearly Earnings ($1000s) Average Yearly Earnings in the U.S., by Gender and Age 70- 60- 40- 30- 20- ■Men Women 22 Age 60 Average Yearly Earnings ($1000s) $70 (30,67) $60- $50(0,24) $40+ $30+ $20 $10- $0+ 0 (0,21) Men (30,40) Women 10 20 30 40 50 Years after Age 22 a. Use the two points for men shown on the graph to find a function in the form M(x) = mx + b that models average yearly earnings for men x years after age 22. M(x) = (Use integers or decimals for any numbers in the expression. Round to two decimal places as…How wide is the chasm between what men and women earn in the workplace? According to a 2015 analysis from a national women's group, women lose $435,049 over the course of a career because of the pay gap. The bar graph to the right shows the average earnings in the United States for men and women at ages 22 and 60. This exercise involves the graphs of models for the data shown in the rectangular coordinate system to the right. Complete parts (a) through (c) below. Average Yearly Earnings ($1000s) Average Yearly Earnings in the U.S., by Gender and Age 70- 60- ■Men 50 Women 40- 30- 20- 10- 0- 22 Age 60 Average Yearly Earnings ($1000s) $70- $60- (30,67).. $50 (0,24) $40+ $30+ $20- $10- $0+ 0 M(age=38) = $ thousand (Type an integer or decimal rounded to one decimal place as needed.) ♦ (0,21) Men *(30,40) Women 10 20 30 40 50 Years after Age 22 --X7 (Use integers or decimals for any numbers in the expression. Round to two decimal places as needed.) b. Use the two points for women shown on…How wide is the chasm between what men and women earn in the workplace? According to a 2015 analysis from a national women's group, women lose $435,049 over the course of a career because of the pay gap. The bar graph to the right shows the average earnings in the United States for men and women at ages 22 and 55. This exercise involves the graphs of models for the data shown in the rectangular coordinate system to the right. Complete parts (a) through (c) below. BEEB Average Yearly Earnings in the U.S., by Gender and Age M(age=33)=$thousand (Type an integer or decimal rounded to one decimal place as needed.) Average Yearly Earnings ($1000s) 70- 60- Men 50-Women- 40- 30- 20- 10- 0- 22 Age 55 Average Yearly Earnings ($1000s) A $70 (3087) $60- $30 $20- $10- $0 } e $50 (0.23) $40 BN 9 ST (Use integers or decimals for any numbers in the expression. Round to two decimal places as needed.) b. Use the two points for women shown on the graph to find a function in the form W(x) = mx + b that…
