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;
Learn more about regression line equation here:
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6 to 5, 12 to 10, 18 to 15, 24 to 20, x to 25
Let's take a look at x/25 ratio, which has to be equal 6/5.
The answer is 30 inches.
Answer:
No yes no yes no
Step-by-step explanation:
Answer:
Step-by-step explanation:
tan is defined as: 
sin is defined as: 
cos is defined as: 
We can also define tan as: 
because plugging in the definitions of sin and cos in we get: 
which you'll notice is the original definition of tan(x)
So using this definition of tan(x) we can use the givens sin(x) and cos(x) to find tan(x)
plugging in sin(x) and cos(x) we get:
We usually don't like square roots in the denominator, and from here we want to rationalize the denominator which we do by removing the square root from the denominator.
We can do this by multiplying the fraction by: 
which doesn't change the value of the fraction since it simplifies to 1, but it gets rid of the square root in the denominator
