Quick Check 12.3 – Data 100, Summer 2020

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Suppose f(x) is some function with a global minimum. True or False: the value of x that minimizes f(x) is the same value of x that minimizes cf(x), where c is any positive constant. *

True

False

Suppose we have a set of (x, y) pairs. Numerical summaries of x and y are provided in the description.

- Mean of x: 10
- Mean of y: 15
- SD of x: 2
- SD of y: 4
- r: 0.5

What is the slope of the line of best fit for the set of points defined above? *

What is the intercept of the line of best fit for the set of points defined above? *

The above coefficients minimize: *

Average squared loss

Average absolute loss

Squared loss for one observation in particular

Absolute loss for one observation in particular

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