he total number of Corona cases in the US, please keep in mind it is a running total. Courtesy of worldometers.info   Date in 2020 Day (t) Number of Corona Cases (C) Feb. 15 1 15 Feb. 26 12 68 Mar. 8 23 541 Mar. 19 34 14,896 Mar. 30 45 171,655 Apr10. 56 517,100 Apr. 21 67 835,559 May 2 78 1,170,301 May 13 89 1,443,627 May 24 100 1,704,112 June 4 111 1,942,737 June 15 122 2,187,774 June 26 133 2,556,718 July 7 144 3,109,759 July 18 155 3,849,089 July 29 166 4,588,252 Aug. 9 177 5,228,738 Aug. 20 188 5,771,205 Aug. 31 199 6,239,373 Sept. 11 210 6,673,451 Sept. 22 221 7,109,730   Let C be the total number of Corona Virus cases in the United States by the end of the t days since Feruary 14, 2020. (Let t = 0 represent Feb. 15, 2020.) Create a scatter plot of the data. Take up the entire piece of graph paper. Make sure to label the axes, and title your graph.     Does it look linear? Exponential, Quadratic?     Use the calculator to find the regression equation for this data. Express the equation as a function, C(t) = ažbt.

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  1. The total number of Corona cases in the US, please keep in mind it is a running total. Courtesy of worldometers.info

 

Date in 2020

Day (t)

Number of Corona Cases (C)

Feb. 15

1

15

Feb. 26

12

68

Mar. 8

23

541

Mar. 19

34

14,896

Mar. 30

45

171,655

Apr10.

56

517,100

Apr. 21

67

835,559

May 2

78

1,170,301

May 13

89

1,443,627

May 24

100

1,704,112

June 4

111

1,942,737

June 15

122

2,187,774

June 26

133

2,556,718

July 7

144

3,109,759

July 18

155

3,849,089

July 29

166

4,588,252

Aug. 9

177

5,228,738

Aug. 20

188

5,771,205

Aug. 31

199

6,239,373

Sept. 11

210

6,673,451

Sept. 22

221

7,109,730

 

  1. Let C be the total number of Corona Virus cases in the United States by the end of the t days since Feruary 14, 2020. (Let t = 0 represent Feb. 15, 2020.) Create a scatter plot of the data. Take up the entire piece of graph paper. Make sure to label the axes, and title your graph.

 

 

  1. Does it look linear? Exponential, Quadratic?

 

 

  1. Use the calculator to find the regression equation for this data. Express the equation as a function, C(t) = ažbt.
  • Include screen shots of your data list entered, scatter plot on the calculator and the regression equation screen

 

 

 

  1. State a for both equations. What does it represent/mean in this context?

 

 

  1. State b for both equations. What does it represent/mean in this context?

 

 

 

  1. Estimate the total number of cases in the US by the end of the year, Dec. 31, 2020.
    • Remember t = 0 is February 14, 2020
    • Include screen shots of the calculator screen used to estimate the value.
    • Interpret the value correctly.

 

 

 

 

 

 

 

  1. Life Expectancy in years at time of Birth in the United States.

 

 

Life Expectancy at Birth

 

 

Year

Men

Women

1900

47.9

20.7

1910

49.9

53.2

1920

55.5

57.4

1930

57.7

60.9

1940

61.6

65.9

1950

65.5

71

1960

66.8

73.2

1970

67

74.6

1980

70.1

77.6

1990

71.8

78.8

1997

73.6

79.4

 

           Source: Census

 

  1. Let x = 0 represent 1900, create a scatter plot that has both data sets on the same axes. Be sure to use different colors and label so a person can tell which points belong to which data set.

 

  1. Enter the data into your graphing calculator and create a scatter plot.

 

  1. Does the data look linear?

 

 

  1. Use your graphing calculator to find an equation M(x) for the life expectancy of men. Round numbers to 4 decimal places if necessary.

 

 

 

  1. Use your graphing calculator to find an equation W(x) for the life expectancy of women. Round numbers to 4 decimal places if necessary.

 

 

  1. In what year of birth, will Men and Women have the same life expectancey? You can find this by hand or calculator.
    • By hand you will need to show work to justify your answer.

By calculator you will need to include screenshots to justify answer.

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