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least squares regression line

Authored by Nicole Geanacopoulos

Mathematics

11th - 12th Grade

CCSS covered

Used 130+ times

least squares regression line
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32 questions

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1.

FILL IN THE BLANK QUESTION

30 sec • 1 pt

Y-hat is the ________ value of y for a given value of x.

Tags

CCSS.HSF.LE.B.5

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the formula for the regression line?

y=mx+b


y=ax+by^{\wedge}=ax+b

y=a+bx

y=a+bxy^{\wedge}=a+bx

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

3.

FILL IN THE BLANK QUESTION

30 sec • 1 pt

_____________________ is the use of a regression line for prediction outside the interval of x values used to obtain the line.

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

To make a prediction using the regression line, you would...

plug in a predicted guess for y-hat and simplify

look at the scatterplot

rearrange the equation to solve for x

plug in a value for x and simplify

Tags

CCSS.HSF.IF.A.2

5.

MULTIPLE SELECT QUESTION

30 sec • 1 pt

A residual...

the difference between the actual value of y and the value of y predicted by the regression line

actual y - predicted y

yyy-y^{\wedge}

the difference between the actual value of x and the value of x predicted by the regression line

6.

MULTIPLE SELECT QUESTION

30 sec • 1 pt

In the regression equation ˆy=a+bx:

When asked to interpret the slope or y intercept, it is very important to include the word predicted (or equivalent) in your response.

a is the y-intercept

using the regression line to make a prediction for x=0 is an extrapolation

b is the slope, the amount by which the predicted value of y

changes when x increases by 1 unit

Tags

CCSS.HSF.LE.B.5

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A ______________ regression line makes the residuals as small as possible.

good

bad

ugly

mean

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