Question

i have this project on statistics and I dont know how to go about it. i sm to pick a topic and it was going to be Age and dementia. please can someone help as i am so frustrated already.

In some cases, the relationship between the two variables is a linear one. In this project, you will need to choose a pair of real-world variables, collect data on those variables, and describe the relationship between the variables. To complete this project, you will:
Choose a pair of quantitative variables. You should pick a pair that you think already have a strong linear relationship.
Collect a sample of 30 or more pairs of data.
Perform statistical calculations using measures of center and measures of spread.
Create a couple of graphs of the data you collected.
Perform a statistical analysis using linear regression models.
A write up about the project experience to demonstrate how you applied the knowledge.
Part 1: Population and selection of variables
Population
Explanatory (x) Variable
Response (y) Variable
State the type of linear relationship you think the variables would have (strong or weak, positive or negative). Give a short explanation on why you believe they have that relationship. This part is not about being right or wrong, rather it is a framework for your personal thoughts on the relationship you have chosen to study.
After you finish part 1, please check with your instructor before moving on part 2.
Part 2: Collecting data
Collect your data and record the results below, you will need to have a sample of at least 30 individuals. Record your values in the table below (add more rows if necessary). Depending on your study, your data can come from:
Interviewing people. For example, age & income.
Observing real life phenomenon. For example, temperature & humidity.

Explanatory (x) Variable
Response (y) Variable

Part 3: Linear regression
Draw a scatterplot of your data using Excel. Copy and paste the graph from your source to here. Based on the scatterplot, does it appear that a linear relationship is present? Why or why not?
Give the correlation coefficient. What does this value mean in terms of the relationship between your explanatory and response variable?
Give the linear regression equation for your data.
Explain what the y-intercept from part c means in terms of your two variables.
Explain what the slope from part c means in terms of your two variables.
Create a second scatter plot with the regression line on it using Excel. Copy and paste the graph from your source to here.
Pick 2 random individuals from the sample. For each, evaluate the estimated response value using your regression equation from 5c, then calculate the residual based on the actual response value of that individual.
Explanatory (x) value
Estimated yresponse value
Actual response value yo
Residual value
d=y0-y
Write a paragraph that describes how the work you did in part 3 matches your assumption in part 1. In other words, did the data and analysis match your original assumption, or not?  If not, give a suggestion why the data and analysis did not match your assumption.  
 

Answer 1

Note:

Hey there! Thank you for the question. As this is a question related to data collection, it has not been possible for us to collect the actual data. However, we have explained Part 1 of the question for you, to help you on your way. If, after collecting the data, you have trouble analysing it, please re-post this question along with the data, so that we can help you with the analysis.

You have chosen the topic “Age and Dementia”.

Population:

Dementia is a disease that typically affects the elderly- those who are above 65 years of age, although it is possible to start observing its effects in people as young as 30. However, it is pretty rare to observe dementia among people below 30 years.

So, it would be a good bet for you, if you choose subjects who are aged 30 years and above.

Thus, your target population is, human adults aged 30 years and above.

Variables:

Clearly, age has been shown to affect dementia, and not the other way around. So, age may be supposed to explain the occurrence of dementia.

Thus, your explanatory variable (x) is age, and your response variable (y) is a suitable measure of dementia, such as the measure on the Dementia Scale.

Relationship:

Note that the starting age you have considered is 30; with the increase in age, dementia can be expected to be much higher on the scale. As a result, it is clear that the linear relationship between age and dementia is positive (dementia increases as age increases), and the relationship is quite likely to be strong.

However, keep in mind that the dementia scale is not unlimited, and is usually between 1 to 15, or 1 to 30. Hence, with increasing in age, dementia will not keep on increasing indefinitely, but rather, after a certain age and a certain scale value, it would probably plateau, such that, there will be very few cases having dementia scale values above that value. But, it is quite likely that, dementia will steadily increase with the increase in age, at least up to an acceptable limit.