Transformations to Achieve Linearity
Quiz
•
Mathematics
•
10th Grade
•
Practice Problem
•
Hard
Standards-aligned
Anthony Clark
FREE Resource
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8 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Model A is appropriate, since the relationship between x and y is linear.
Model B is appropriate, since the relationship between x and y is linear.
Model A is appropriate, since the relationship between log x and log y is linear.
Model A is appropriate, since the relationship between log x and y is linear.
Model B is appropriate, since the relationship between x and log y is linear.
2.
FILL IN THE BLANK QUESTION
1 min • 1 pt
Curved relationships between two quantitative variables can sometimes be changed into linear relationships by __________________ one or both of the variables. Once we transform the data to achieve linearity, we can fit a least-squares regression line to the transformed data and use this linear model to make predictions.
Tags
CCSS.HSF-LE.A.1B
3.
FILL IN THE BLANK QUESTION
1 min • 1 pt
Another useful strategy for straightening a curved pattern in a scatterplot is to take the ___________________ of one or both variables. When a power model describes the relationship between two variables, a plot of log y versus log x (or ln y versus ln x) should be linear.
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
True or False: Linear transformations can straighten a curved relationship between two variables.
True
False
Tags
CCSS.HSF-LE.A.1B
5.
DRAG AND DROP QUESTION
1 min • 1 pt
The linear parent function, f(x) = x, is transformed to g(x) = f(x) - 6. Describe the transformation. (a)
g(x) is shifted up 6 units
g(x) is shifted down 6 units
g(x) is shifted left 6 units
g(x) is shifted right 6 units
6.
DROPDOWN QUESTION
1 min • 1 pt
What is the effect on the graph of the linear parent function, f(x) = x, when f(x) is replaced by f(x- 7)? Complete the sentence by selecting the correct answers from the drop-down menus. The graph of the line (a) (b) 7 units.
shifts horizontally
up
down
left
right
shifts vertically
7.
DRAG AND DROP QUESTION
1 min • 1 pt
Rewrite f(x) = 2x - 1 shifted up three units and the slope doubled (a)
f(x) = 5x - 2
f(x) = 4x + 2
f(x) = 4x + 3
f(x) = 5x - 4
8.
FILL IN THE BLANK QUESTION
1 min • 1 pt
When theory or experience suggests that the relationship between two variables follows a ___________ ___________ of the form y=axp, transformations involving powers and roots can linearize a curved pattern in a scatterplot.
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