Sophia MAT 240 Unit 4 Milestone 4 Complete Assignment Guide With Solution.pdf
Sophia1 MAT 240 Unit 4 Milestone 4 Complete Assignment Guide With Solution.pdf
15/18
15/18 that's 83% RETAKE
15 questions were answered correctly.
3 questions were answered incorrectly.
1
●
Peter analyzed a set of data with explanatory and response
variables x and y.
He concluded the mean and standard deviation for x as 7.8 and
3.70, respectively.
He also concluded the mean and standard deviation for y as 12.2
and 4.15, respectively.
The correlation was found to be 0.964.
Select the correct slope and y-intercept for the least-squares
line. Answer choices are rounded to the hundredths place.
Slope = 1.08
y-intercept = 3.78
Slope = 0.86
●
y-intercept = 5.50
Sophia MAT 240 Unit 4 Milestone 4 Complete
Sophia MAT
Assignment
240 Unit 4Guide
Milestone
With 4
Solution.pdf
Complete
Sophia MAT Assignment
240 Unit 4Guide
Milestone
With 4
Solution.pdf
Complete Assignment Guide With Solution.pdf
,Sophia MAT 240 Unit 4 Milestone 4 Complete Assignment Guide With Solution.pdf
Sophia2 MAT 240 Unit 4 Milestone 4 Complete Assignment Guide With Solution.pdf
Slope = 1.08
● y-intercept = -5.38
Slope = 0.86
●
y-intercept = -2.69
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
2
●
Sophia MAT 240 Unit 4 Milestone 4 Complete
Sophia MAT
Assignment
240 Unit 4Guide
Milestone
With 4
Solution.pdf
Complete
Sophia MAT Assignment
240 Unit 4Guide
Milestone
With 4
Solution.pdf
Complete Assignment Guide With Solution.pdf
, Data for length of the tail (in millimeters) and age (in days) of
Sophia MAT 240 Unit 4 Milestone 4 Complete Assignment Guide With Solution.pdf
Sophia3 MAT 240 Unit 4 Milestone 4 Complete Assignment Guide With Solution.pdf
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 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.
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.
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.
Sophia MAT 240 Unit 4 Milestone 4 Complete
Sophia MAT
Assignment
240 Unit 4Guide
Milestone
With 4
Solution.pdf
Complete
Sophia MAT Assignment
240 Unit 4Guide
Milestone
With 4
Solution.pdf
Complete Assignment Guide With Solution.pdf