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STA2023 MINI PROJECT I 1. Research Question: What is the relationship between Islanders taxes in 268 and taxes in the year 269? 2. Data: Village House Name Gender Married Tax in 268 Tax in 269 Nelson Hofn Hofn Bjurholm Bjurholm Akkeshi Akkeshi Akkeshi Biruwa Biruwa Biruwa Kiyobico Kiyobico Arcadia T...

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STA2023 MINI PROJECT I 1. Research Question: What is the relationship between Islanders taxes in 268 and taxes in the year 269? 2. Data: Village

House

Name

Gender Married

Tax in 268 Tax in 269

Nelson

116

HAROLD THORN

M

Y

10

14

Hofn Hofn Bjurholm Bjurholm Akkeshi Akkeshi Akkeshi Biruwa Biruwa Biruwa Kiyobico

17 60 11 193 85 51 1 3 32 66 48

LEAH PRICE HENRIK EKLUND RAGNAR JENSEN PATRICE PAGE JAKOB BLOMGREN MITSUKI CONNOLLY ASUKA EDWARDS KARI JENSEN GERDA CARLSEN CHLOE HARDY GUNNAR BAGER

F M M F M F F F F F M

Y Y Y Y Y N Y N N N Y

0 39 6 12 39 40 44 79 0 0 43

0 39 0 5 39 40 43 75 0 0 42

Kiyobico Arcadia Takazaki Takazaki Takazaki Takazaki Talu Talu Talu

14 9 7 9 9 7 337 312 113

DR SIMON BLOMGREN RIKU MORRIS DR MICHAELA MOORE JUN WILSON ISABELLA MORRIS ELIN SORENSEN AXEL BLOMGREN HARVEY PAGE SAKURA CONNOLLY

M M F M F F M M F

N Y Y Y Y N Y N N

43 39 40 50 49 18 8 0 21

52 39 40 51 50 21 5 0 32

Talu Talu Talu Talu Talu Talu Talu Eden Eden

83 44 585 407 548 6 36 28 63

JOHANNA SORENSEN OLIVIA JACKSON VIGGO JENSEN LUCAS PRICE KIRK LUND DR RYOUTA CONNOLLY LEA EKLUND AURELIE DUPONT ELEANOR SUZUKI

F F M M M M F F F

N Y Y N N Y Y Y Y

77 42 0 28 46 63 15 32 0

71 47 0 21 39 66 10 25 0

Eden Eden Eden Vaiku

441 593 696 3

MAYA SATO JAKOB BLOMGREN JAMES JACKSON ILLONA SOLBERG

F M M F

Y Y Y Y

16 0 15 39

14 0 16 39

Vaiku Vaiku Vaiku Vaiku Vaiku Vaiku Colmar Colmar

30 68 117 141 177 326 31 124

ORIEL SIMON SEVERIN PAGE EVAN SUZUKI RYAN COLLINS DEAN WILSON ERIKA BAGER JASMIN BLOMGREN HINA MCCARTHY

M M M M M F F F

N N N N Y Y Y Y

0 0 0 9 0 17 20 34

0 0 0 11 0 16 16 30

Colmar Colmar Colmar Colmar Colmar Colmar Colmar Colmar Colmar Akkeshi Pauma

199 299 400 503 646 720 883 1228 1409 2 224

DR DANE ERICKSON JACOB YAMADA HANS THORN AYAKA EDWARDS SOPHIE CONNOLLY ROBERT SATO RAGNAR EKLUND DAHL CARLSEN MICHAEL MOORE SHIORI WILSON KATE MCCARTHY

M M M F F M M F M F F

Y Y N Y Y Y Y N Y N Y

36 22 0 0 0 39 0 0 0 0 6

27 22 0 0 0 38 0 0 0 9 0

Akkeshi Akkeshi Akkeshi Hayarano Hayarano Biruwa Maeva

23 51 155 180 682 73 158

EVAN MCCARTHY MITSUKI CONNOLLY MAGNAR CARLSEN ALINA BAGER KERSTIN SORENSEN BRENDA SOLBERG DYLAN BROWN

M F M F F F M

Y N Y Y Y N N

19 40 39 39 27 10 0

13 40 39 39 27 10 0

3.

Direction – positive Outliers – none visible Trend – linear Strength – strong

4. Fitted line plot

Regression Equation: ŷ = -0.186 + 0.98x R-squared value: 0.97 5. Slope: 0.98 – Per $1.00 of taxes in year 268, there is a predicted increase of $1.00 in taxes in year 269. 6. y-intercept: -0.19 – does not make sense to have a negative tax (see work below)

ŷ = -0.186 + 0.98(0) ŷ = -0.186 7. Correlation coefficient: 0.98 – there is a strong correlation between taxes in years 268 and 269

8. R2: 0.97 – 97.00% of the Islanders’ taxes are explained by the previous year 9. ŷ = -0.186 + 0.98(10) ŷ = 9.614 (predicted value) 10 – 9.614 = 0.386 (residual)

10. Conclusion: Is there a relationship? Yes, there is a strong relationship between the Islanders’ taxes in year 268 and 269. There is a strong linear regression on the scatter plot, demonstrating the strong correlation between years 268 and 269. Further, the residuals also demonstrate minor variation between the observed values and predicted values. 11. Is there a difference in the relationship between tax in 268 and tax in 269 for men and for women?

Females

Males

Slope Males – 1 Slope Females – 0.962 R2 Males and Females – did not change...