Answer:
II. The sum of the residuals is always 0.
Step-by-step explanation:
A least squares regression line is a standard technique in regression analysis used to make the vertical distance obtained from the data points running to the regression line to become very minimal or as small as possible.
For any least-squares regression line, the sum of the residuals is always zero.
Basically, residuals are used to measure or determine whether or not the line of regression is a good fit or match for the data by subtracting the difference between them i.e the predicted y value and the actual y value, for the x value respectively.
Hence, the statement about residuals which is true for the least-squares regression line is that the sum of the residuals is always zero (0).
15,75 - 100 %
100 % = 100/100 = 1
Then every number multiplied by 1 is 100 % of itself.
If the book was marked up 65% of what is was before, it makes a price of 165% when compared to the original.
165% = 165/ 100 = 1,65
15,75 . 1,65 = 25,9875
25,99 is the nearest option.
a)25,99
Answer: the first option is the correct answer.
Step-by-step explanation:
Triangle ABC is a right angle triangle.
From the given right angle triangle,
AB represents the hypotenuse of the right angle triangle.
With m∠A as the reference angle,
AC represents the adjacent side of the right angle triangle.
BC represents the opposite side of the right angle triangle.
To determine the tangent of angle A, we would apply the Tangent trigonometric ratio. It is expressed as
Tan θ, = opposite side/adjacent side. Therefore,
Tan A = 5/5√3 = 1/√3
Rationalizing the surd, it becomes
1/√3 × √3/√3
Tan A = √3/3
Keep in mind the the word "percent" translates to "for each 100." 25% can be read as "25 for each 100," which has the fractional representation
and the decimal representation 0.25. All of these representations are just different ways of writing the same value.
Note too that the fraction
can be reduced to
, so what the question is really asking is: 1/4 of what number is 9?
Well, if we know that 1/4 of the number is 9, we can easily find how large the whole number is by finding all 4/4 of it (the <em>whole</em> number)<em /><em />, or 4 x 9, which multiplies out to
36.
