Week 3.2 IRM
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Questions and Answers

Match the following statistical concepts with their descriptions:

Data = Difference between height and shoe size Model = Estimate of the relationship between height and shoe size Error = Difference between data and correlation line Over fit = Including so many variables that the model perfectly fits the data, but may not generalize well

Match the term with its corresponding example:

A model with no error = The correlation line perfectly matches the data points A model with little error = The correlation line closely follows the data points, but not perfectly A model with lots of error = The correlation line does not closely follow the data points A good statistical model = The smaller the error, the better the model fit

Match the following factors with their potential effects on a statistical model:

Sex = Could be a covariate that, if included, may improve the detection of a significant effect Height in cm = One variable in a correlation with shoe size Shoe size EU = One variable in a correlation with height Error = The smaller it is, the better the model fit

Match the following concepts with their definitions:

<p>Statistical Model = Uses maths to summarise a dataset relative to multiple variables Model Error = Difference between the measured data and the predicted data from the model Descriptive Statistics = Statistics that describe the data Inferential Statistics = Use of statistical models to make inferences about the data</p> Signup and view all the answers

Match the following equations with their descriptions:

<p>$Data = model + error$ = Represents that no statistical model is perfect and there will always be an error $London = model of London + wrong bits$ = An example of a statistical model equation $Residuals$ = Another term for model error $Height = model of Height + error$ = An example of a statistical model equation for height</p> Signup and view all the answers

Match the following concepts with their explanations:

<p>Statistical Model Error = Tells us that we don’t fully understand our outcome/dependent variable Reducing Model Error = May increase the chance of detecting a significant effect Data = Comprises of the model and error Predicting Values = A function of models but these predictions will always have error around them</p> Signup and view all the answers

True or false: A statistical model is a perfect representation of a dataset.

<p>False</p> Signup and view all the answers

True or false: Model error can be reduced to zero.

<p>False</p> Signup and view all the answers

True or false: Model error indicates that there may be unknown factors affecting the relationship/data under investigation.

<p>True</p> Signup and view all the answers

True or false: The correlation between height and shoe size is perfect.

<p>False</p> Signup and view all the answers

True or false: Including covariates such as sex in the model may help detect a significant effect.

<p>True</p> Signup and view all the answers

True or false: Overfitting the model to the data can be problematic in terms of generalization.

<p>True</p> Signup and view all the answers

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