Please help me with my homework. It's about linear models and scatter plots. If you could, please show your work.

1.The following chart shows the population P (in thousands) for selected years for New Jersey based on the 2,000 census. Use a graphing utility to create scatter plot of the data, with t=5 corresponding to 2005. Then use the regression feature to find the lease square regression line and predict the population of New Jersey in 2045. Round to the nearest whole number.

Year Population, P (in thousands)

2005 8,745

2010 9,018

2015 9,256

2020 9,462

2025 9,637

2030 9,802

a) 94,452

b) 17,193

c) 10,475

d) 437,079

2.Use the regression feature of a graphing utility to find a linear model for the data below. Let t represent the year with t=9 corresponding to 1999.

Years Average length, L (in minutes)

1999 2.38

2000 2.56

2001 2.74

2002 2.73

2003 2.87

2004 3.05

Which of the following shows the equations of the least squares regression line?

a) L= 7.82t - 9.78

b) L= 7.82t - 17.78

c) L= 0.12t + 2.29

d) L+ 0.12t + 1.32

3.Use a regression feature of a graphing utility to find the least squares regression line for the data points.

(-2, 3), (-1, 1), (1, 2), (1, -1), (2, -2)

a) y= -0.62x + 0.57

b) y= -0.98x + 0.8

c) y= -0.76x + 0.7

d) y= -0.17x + 1.63

4.Find the least squares regression line of the data below using the regression feature of a graphing utility.

Year Average length, L (in minutes)

1999 2.38

2000 2.56

2001 2.74

2002 2.73

2003 2.87

2004 3.05

Find the average lengths of cellular calls for the year 2013.

a) 242.88 minutes

b) 4.08 minutes

c) 3.48 minutes

d) 3.97 minutes

5.Find the least square regression line of the data below using the regression feature of a graphing utility. Then find the correlation coefficient for the regression line. Round to four decimal places.

Year Average length, L (in minutes)

1999 2.38

2000 2.56

2001 2.74

2002 2.73

2003 2.87

2004 3.05

a) 0.9766

b) 0.9537

c) 0.971

d) 0.6547