
Understanding Linear Regression and R-squared

Interactive Video
•
Mathematics, Science
•
9th - 12th Grade
•
Hard

Jackson Turner
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the primary goal when finding a line in a set of n points with x and y coordinates?
To maximize the distance between the line and the points
To minimize the squared distance to the points
To ensure the line passes through the origin
To make the line parallel to the x-axis
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the squared error in the context of linear regression?
The sum of x-coordinates of all points
The difference between the highest and lowest y-coordinates
The square of the distance between a point and the line
The product of x and y coordinates of a point
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How can you calculate the total squared error between the points and the line?
By adding the x-coordinates of all points
By subtracting the mean of x from each x-coordinate
By summing the squared differences between each y and the line's y
By multiplying each y-coordinate by the line's slope
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is the total variation in y calculated?
By summing the x-coordinates of all points
By finding the mean of x-coordinates
By summing the squared differences from the mean of y
By multiplying all y-coordinates together
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does R-squared represent in linear regression?
The total number of data points
The percentage of total variation in y described by x
The average x-coordinate of the data points
The slope of the regression line
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
If the R-squared value is close to 1, what does it indicate about the line?
The line is a perfect horizontal line
The line is a perfect vertical line
The line is a poor fit for the data
The line is a good fit for the data
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What happens to the R-squared value if the squared error of the line is large?
R-squared becomes greater than 1
R-squared remains unchanged
R-squared approaches 0
R-squared becomes negative
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