18 Questions
What is the significance of the hat symbol (ˆ) in the equation yˆi = f(xˆi) = ŵxi + b̂?
It indicates the estimated values of the model parameters
What is the primary goal when using linear regression?
To find the most accurate values for ŵ and b̂
What is the relationship between x and y in linear regression?
y is a linear function of x
What is the purpose of step 2 in the linear regression algorithm?
To calculate the error from the current line
What is the purpose of starting with a random line in step 1 of the linear regression algorithm?
To provide an initial estimate of the model parameters
What is the role of the variables w and b in the linear regression equation?
They are the model parameters, where w is the slope and b is the intercept
What is the primary goal of regression in machine learning?
To estimate a relationship between dependent and independent variables
In the context of regression, what do the x's represent?
The input values of the independent variables
What is the notation used to represent a single data point in a regression dataset?
(x, y)(i)
What is an example of an independent variable in the context of house prices?
The square footage of the house
What is the term for the number of data points in a regression dataset?
n
What is the primary assumption of regression?
The relationship between the variables is linear
What is the assumption made about the relationship between y and x in linear regression?
y is approximately equal to f(x)
What is the true function f in linear regression?
A function that exists in the real world that maps input to output
What is the purpose of defining a model fˆ in linear regression?
To be as close as possible to the true function f
What is the relationship between x and y in the equation y ≈ f(x)?
y is dependent on x
What is the notation R used for in the context of linear regression?
The set of all real numbers
What is the implication of the assumption that y ≈ f(x)?
There is a deterministic relationship between x and y
Learn how regression algorithms work and how they determine the best fit for data. This quiz covers the basics of linear regression and its importance in data analysis.
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