Weight and Height Relationship Study - Providence Island Sample Data

Problem Description:

The primary focus of this study is to comprehend the correlation between an individual's weight and height, particularly among the population of Providence Island. This is a crucial aspect as it provides essential insights into the overall health and body composition of individuals. Furthermore, this information can be highly beneficial for various applications, such as evaluating nutritional status, devising effective weight management strategies, and recognizing potential health risks linked to weight and height variations. Through this comprehensive investigation, we aim to expand the existing knowledge in this domain and, in turn, provide valuable insights for health practitioners and policy makers.

Variables:

Response Variable: Weight (continuous)

Explanatory Variable: Height (continuous)

Methods:

Sampling Strategy: A straightforward random sampling approach was utilized to gather a sample of residents from Providence Island. This method ensured that each resident had an equal opportunity to be included in the study. Employing a random number generator, each resident received a unique identifier, and subsequently, a sample of 36 individuals was randomly chosen to form the study sample.
Population of Interest: The scope of this study extends to encompass all residents of Providence Island. The collected sample aims to be representative of the broader population residing on the island.
Data Collection: Data collection was carried out across different towns on Providence Island, specifically in Nelson, Takazaki, Hayarano, and Shinobi. The data collection procedure involved visiting these areas and approaching households to request their voluntary participation in the study. Informed consent was obtained from the participants, or from their parents/guardians in cases involving minors. The information recorded for each participant included the town name, individual's name, age group, weight (in kilograms), and height (in centimeters).
Study Type: The study employed an observational approach, meaning that data concerning weight and height was collected without any form of intervention or manipulation. The primary objective was to delve into the relationship between weight and height among the inhabitants of Providence Island.

Data:

Table 1: Data of Weight and Height among Inhabitants of Providence Island

S/No	Town	Names	Age group	Weight (Kg)	Height (cm)
1	Nelson	Jamie Wilson	18	71.4	173.4
2	Nelson	Dianne Morrison	27	43.7	152.8
3	Nelson	Nicolas Gagnon	26	79.7	187.3
4	Nelson	Ruby Collins	15	63.7	166.6
5	Nelson	Zachary Price	1	9.4	81.5
6	Nelson	Aahna Kaur	22	75.7	170
7	Nelson	Lila Collins	14	39.3	151.6
8	Nelson	Hayley Johnstone	16	55.3	168.6
9	Nelson	Yuka Wilson	17	76.8	169.3
10	Takazaki	Nico Sorensen	14	53.6	161.2
11	Takazaki	Robin Morris	15	63.8	170.2
12	Takazaki	Julian Eklund	19	82.9	175.6
13	Takazaki	Percy Lemaitre	14	60.7	171
14	Takazaki	Madison Collins	10	39.9	141.8
15	Takazaki	Noah Connolly	19	63.3	172
16	Takazaki	Elise Erickson	22	50.9	163.4
17	Takazaki	Felix Pallesen	15	82.6	175.4
18	Takazaki	Matthew Connolly	15	59.4	173.4
19	Hayarano	Klya Mccarthy	9	37.8	145.9
20	Hayarano	Hanne Sorensen	15	48.6	166.3
21	Hayarano	Vladimir Riedel	8	32.2	133.9
22	Hayarano	Elsa Sorensen	12	50.8	155.3
23	Hayarano	Souta Connolly	17	81.1	175.7
24	Hayarano	Nathan Connolly	5	19.6	118
25	Hayarano	Chota Yamada	18	72.8	176.4
26	Hayarano	Chloe Regan	18	62.8	170.2
27	Hayarano	Garthy Ganier	8	30.9	127.5
28	Shinobi	Lucinda Carlsen	8	25.4	128.4
29	Shinobi	Raum Lund	14	52.6	173
30	Shinobi	Brenda Blomgren	11	44.9	148.9
31	Shinobi	Lars Solberg	10	50.8	148
32	Shinobi	Alicia Abbasi	8	30.1	128
33	Shinobi	Olson Lund	17	56.7	173.3
34	Shinobi	Satoru Watabe	5	21	109.8
35	Shinobi	Sebastian Scholz	18	67.2	169.6
36	Shinobi	Beau Morris	12	44.5	160.6

Results:

Table 2: Sample Statistics of Weight and Height among Inhabitants of Providence Island

Statistics	Weight (Kg)	Height (cm)
Minimum	9.4000	81.5000
Q1	39.7500	147.5000
Median	53.1000	166.4500
Mean	52.8306	156.4972
SD	19.2239	22.7250
Q3	64.6500	172.2000
Maximum	82.9000	187.3000

Figure 1: Scatterplot of Weight and Height among Inhabitants of Providence Island

The scatterplot vividly illustrates a robust positive linear relationship between weight and height among the inhabitants of Providence Island. While individual data points show some variability, the overall trend is clearly upwards, signifying that as weight increases, height also tends to increase. The scatterplot strongly confirms the positive association between weight and height within the dataset.

Summary and Discussion:

The sample statistics and the scatterplot contribute critical insights into the intricate relationship between weight and height among Providence Island's residents. The mean weight of the sample hovers around 52.83 kg, with a standard deviation of 19.22 kg. In parallel, the mean height is approximately 156.5 cm, with a standard deviation of 22.73 cm. This evident correlation between weight and height implies that individuals with higher weights also tend to be taller. However, it's imperative to acknowledge the potential influence of age as a confounding variable. Age can significantly affect both weight and height, especially in the context of growth and development. Younger individuals may exhibit lower weights and heights in comparison to their older counterparts. Therefore, to account for this potential confounder, it is essential to incorporate age as a variable and analyze its influence on the weight-height relationship.

RStudio script:

Data <- read.csv("Height.csv")
summary(Data$Weight)
sd(Data$Weight)
summary(Data$Height)
sd(Data$Height)
plot(
Data$Weight ~ Data$Height,
main = "Relationship between Height and Weight",
xlab = "Height (cm)",
ylab = "Weight (Kg",
col = "blue",
pch = 16,
cex = 2,
lwd = 1.5,
bg = "lightblue"
)

Investigating the Relationship Between Weight and Height among Providence Island's Residents