Sophia Introduction to Statistics Unit 4 – Milestone 4
(Below is a compilation of all questions for Unit 4 – Milestone 4. The answers are 100% correct, and it
guaranteed to earn you a perfect score in this unit. For a faster search, just hit on ctrl f on windows, or
command f on mac. Good lu...
sophia introduction to statistics unit 4 – milestone 4 below is a compilation of all questions for unit 4 – milestone 4 the answers are 100 correct
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SOPHIA INTRODUCTION TO STATISTICS UNIT 4 - MILESTONE 4
Sophia Introduction to Statistics Unit 4 – Milestone 4
(Below is a compilation of all questions for Unit 4 – Milestone 4. The answers are 100% correct, and it
guaranteed to earn you a perfect score in this unit. For a faster search, just hit on ctrl f on windows, or
command f on mac. Good luck!)
You passed this Milestone
18 questions were answered correctly.
1
Data for length of the tail (in millimeters) and age (in days) of tadpoles is entered into a
statistics software package and results in a regression equation of ŷ = 15 - 1.5x.
What is the correct interpretation of the slope if the length of the tail is the
response variable and the age is the explanatory variable?
• The length of the tail increases by 15 millimeters, on average, when the tadpole's
age increases by 1 day.
• The length of the tail decreases by 1.5 millimeters, on average, when the tadpole's
age increases by 1 day.
• The length of the tail decreases by 15 millimeters, on average, when the tadpole's
age increases by 1 day.
• The length of the tail increases by 1.5 millimeters, on average, when the tadpole's
age increases by 1 day.
RATIONALE
When interpreting the linear slope we generally substitute in a value of 1. So we can
note that, in general, as x increases by 1 unit the slope tells us how the outcome
changes. So for this equation we can note as x (age) increases by 1 day, the
outcome (length) will decrease by 1.5 millimeters on average.
CONCEPT
Interpreting Intercept and Slope
2
Which of the following scatterplots shows an outlier in the y-direction?
,•
•
,•
•
RATIONALE
To have an outlier in the y-direction the outlier must be in the range of x data but
outside the range of y-data. This outlier is outside of the data in the y direction, lying
below all of the data.
CONCEPT
Outliers and Influential Points
3
Shawna finds a study of American men that has an equation to predict weight (in
pounds) from height (in inches): ŷ = -210 + 5.6x. Shawna's dad’s height is 72 inches and
he weighs 182 pounds.
What is the residual of weight and height for Shawna's dad?
, • 193.2 pounds
• 809.2 pounds
• -11.2 pounds
• 11.2 pounds
RATIONALE
Recall that to get the residual, we take the actual value - predicted value. So if the
actual height of 72 inches and the resulting actual weight is 182 pounds, we simply
need the predicted weight. Using the regression line, we can say:
The predicted weight is 193.2 pounds. So the residual is:
CONCEPT
Residuals
4
For ten students, a teacher records the following scores of two assessments, Quiz 1 and
Test.
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