The given equation is the best line that approximates the linear
relationship between the midterm score and the score in the final exam.
- AJ's residual is 0.3, which is not among the given options, therefore, the correct option is. <u>E. None of these</u>.
Reasons:
The given linear regression line equation is; = 25.5 + 0.82·
Where;
= Final exam score;
= The midterm score;
AJ score in the first test, = 90
AJ's actual score in the exam = 99
Required:
The value of AJ's residual
Solution:
By using the regression line equation, we have;
The predicted exam score, = 25.5 + 0.82 × 90 = 99.3
- The residual score = Predicted score - Actual score
∴ AJ's residual = 99.3 - 99 = 0.3
AJ's residual = 0.3
Therefore, the correct option is option E;
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Answer:
Step-by-step explanation:
Calculate the distance d using the distance formula
d =
with (x₁, y₁ ) = (- 2, 6) and (x₂, y₂ ) = (- 1, - 3)
d =
=
=
= ≈ 9.06 ( to 2 dec. places )
Answer:
b. 3 = 3/1
c. -4 = -4/1
Step-by-step explanation:
An integer can be written as a rational number with a denominator of 1. The denominator can be anything else, too, in which case the numerator must be multiplied by that same value.
__
b. 3 = 3/1 = 6/2 = 27/9
__
c. -4 = -4/1 = 8/-2 = -12/3
This is actually called a mapping diagram but the answer is C.
Because the right circle represents the x variable and the left circle is the y variable. So you just follow the arrows. -3 is pointing to 4 so that's a pair or (-3,4)
Answer:
It lies between 5 and 6
Step-by-step explanation:
x is the root of 30