Sophia Statistics
MILESTONE 4 RETAKE GUIDE
Southern New Hampshire University
Actual Questions & Verified Answers with Rationales
100% Guarantee Pass
,6/6/22, 6:27 AM Sophia :: Welcome
Score 17/18
17/18 that's 94%
Retake
17 questions were answered correctly.
1 question was answered incorrectly.
Milestone Tips
Remember that Milestones are open-book.
Take the Practice Milestone before taking the Milestone.
Take the Milestone at a time and in a place where you can be focused and undisturbed for the entire Milestone time limit.
Milestone Retake
UNIT 4 score
— will
MILESTONE
replace your original score.4
You are allowed one retake per Milestone.
The retake
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Retake Now Maybe Later
Milestone Retake
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Begin Retake
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1. Milestone Retakes
Sophia allows one retake per Milestone. If you ever want to retake a Milestone, click this button.
Got it
1
Which statement about correlation is FALSE?
Correlation is used to define the variables of only non-linearly related data sets.
Correlation between the variables of the data set can be measured.
The correlation of a data set can be positive, negative, or 0.
Correlation is the degree to which the two variables of a data set resemble each other.
RATIONALE
Recall that correlation is used for linear association between 2 quantitative variables, NOT for non-linearly related variables.
CONCEPT
Correlation
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Reported. Thanks for your feedback.
2
https://app.sophia.org/spcc/introduction-to-statistics-2/milestone_take_feedbacks/14524722 1/22
, 6/6/22, 6:27 AM Sophia :: Welcome
For ten students, a teacher records the following scores of two assessments, Quiz 1 and Test.
Quiz 1 (x) Test (y)
15 20
12 15
10 12
14 18
10 10
8 13
6 12
15 10
16 18
13 15
Mean 11.9 14.3
Standard Deviation 3.3 3.5
The correlation of Quiz 1 and Test is 0.568.
Given the information below, what is the slope and y-intercept for the least-squares line of the Quiz 1 scores and Test scores? Answer choices are rounded to the
hundredths place.
Slope = 0.54
y-intercept = 1.22
Slope = 0.60
y-intercept = 1.22
Slope = 0.60
y-intercept = 7.16
Slope = 0.54
y-intercept = 1.71
RATIONALE
We first want to get the slope. We can use the formula:
To then get the intercept, we can solve for the y-intercept by using the following formula:
We know the slope, , and we can use the mean of x and the mean of y for the variables and to solve for the y-intercept, .
CONCEPT
Finding the Least-Squares Line
Report an issue with this question
Reported. Thanks for your feedback.
3
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.
https://app.sophia.org/spcc/introduction-to-statistics-2/milestone_take_feedbacks/14524722 2/22
MILESTONE 4 RETAKE GUIDE
Southern New Hampshire University
Actual Questions & Verified Answers with Rationales
100% Guarantee Pass
,6/6/22, 6:27 AM Sophia :: Welcome
Score 17/18
17/18 that's 94%
Retake
17 questions were answered correctly.
1 question was answered incorrectly.
Milestone Tips
Remember that Milestones are open-book.
Take the Practice Milestone before taking the Milestone.
Take the Milestone at a time and in a place where you can be focused and undisturbed for the entire Milestone time limit.
Milestone Retake
UNIT 4 score
— will
MILESTONE
replace your original score.4
You are allowed one retake per Milestone.
The retake
Make sure you're ready. Review our list of Milestone Tips.
Retake Now Maybe Later
Milestone Retake
Before you begin, please make sure you're in a place where you can be focused and undisturbed for the entire Milestone time limit.
Begin Retake
Cancel
1. Milestone Retakes
Sophia allows one retake per Milestone. If you ever want to retake a Milestone, click this button.
Got it
1
Which statement about correlation is FALSE?
Correlation is used to define the variables of only non-linearly related data sets.
Correlation between the variables of the data set can be measured.
The correlation of a data set can be positive, negative, or 0.
Correlation is the degree to which the two variables of a data set resemble each other.
RATIONALE
Recall that correlation is used for linear association between 2 quantitative variables, NOT for non-linearly related variables.
CONCEPT
Correlation
Report an issue with this question
Reported. Thanks for your feedback.
2
https://app.sophia.org/spcc/introduction-to-statistics-2/milestone_take_feedbacks/14524722 1/22
, 6/6/22, 6:27 AM Sophia :: Welcome
For ten students, a teacher records the following scores of two assessments, Quiz 1 and Test.
Quiz 1 (x) Test (y)
15 20
12 15
10 12
14 18
10 10
8 13
6 12
15 10
16 18
13 15
Mean 11.9 14.3
Standard Deviation 3.3 3.5
The correlation of Quiz 1 and Test is 0.568.
Given the information below, what is the slope and y-intercept for the least-squares line of the Quiz 1 scores and Test scores? Answer choices are rounded to the
hundredths place.
Slope = 0.54
y-intercept = 1.22
Slope = 0.60
y-intercept = 1.22
Slope = 0.60
y-intercept = 7.16
Slope = 0.54
y-intercept = 1.71
RATIONALE
We first want to get the slope. We can use the formula:
To then get the intercept, we can solve for the y-intercept by using the following formula:
We know the slope, , and we can use the mean of x and the mean of y for the variables and to solve for the y-intercept, .
CONCEPT
Finding the Least-Squares Line
Report an issue with this question
Reported. Thanks for your feedback.
3
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.
https://app.sophia.org/spcc/introduction-to-statistics-2/milestone_take_feedbacks/14524722 2/22
