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2 years ago

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1. What is a residual?

1 answer:

sladkih [1.3K]2 years ago

5 0

Answer:

1. what is a residual?

A. A residual is a value of y -y, which is the difference between an observed value of y and a predicted value of y.

2. The regression line has the property that the_sum of squares_of the residuals is the minimum possible sum.

Step-by-step explanation:

1. What is a residual?

A. A residual is a value of y -y, which is the difference between an observed value of y and a predicted value of y.

2. In what sense is the regression line the straight line that "best" fits the points in a scatterplot?

The regression line has the property that the_sum of squares_of the residuals is the minimum possible sum.

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If $10,500 is deposited in a compound interest account paying 2.99% interest annually, how much will be in the account after 5 y

algol [13]

$\bf ~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$10500\\ r=rate\to 2.99\%\to \frac{2.99}{100}\dotfill &0.0299\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &5 \end{cases} \\\\\\ A=10500\left(1+\frac{0.0299}{1}\right)^{1\cdot 5}\implies A=10500(1.0299)^5\implies A\approx 12166.47$

5 0

2 years ago

Joey puts 25% of his allowance into savings each week. If last week he put 10$ in savings, what was his allowance last week?

Yuri [45]

Answer:

40

Step-by-step explanation:

10=25% so multiply 10 by 4 and cause there is 4 25% in 100

7 0

3 years ago

Brainlest Content Consider the two linear expressions -(-2 + 3x -1/2) and 2.5+3x Are the two linear expressions equivalent? Drag

ELEN [110]

Answer:

Step-by-step explanation:

-(-2 + 3x - 1/2) = -( -2 - 0.5 + 3x)

= -(-2.5 + 3x)

= -1*(-2.5) + (-1)*3x

= 2.5 - 3x

2.5 - 3x is not equivalent to 2.5 + 3x

7 0

2 years ago

Read 2 more answers

What is the sum of 5+2 or 2+5? why is the sum the same..

nasty-shy [4]

The sum of 5+2 or 2+5 is 7. It's the same because it doesn't matter if the equation is flipped around in addition.

4 0

2 years ago

Read 2 more answers

Pls help these are my teachers instructions

Yanka [14]

The mistake he did, was in calculating powers, when 12 is taken to numerator it becomes -12 and 6-12 is -6 and not 6 so power of x should be -6 i.e x^-6 and not x^6

So, the correct answer is $=\frac{27}{4x^{6}y^{8}}$

Step-by-step explanation:

We need to simplify:

$\frac{4(3x^2y^4)^3}{(2x^3y^5)^4}$

Solving:

$\frac{4(3x^2y^4)^3}{(2x^3y^5)^4}$

Multiplying power with the terms inside the bracket.

$=\frac{4(3^3x^6y^{12})}{2^4x^{12}y^{20}}\\=\frac{4(27x^6y^{12})}{16x^{12}y^{20}}\\=\frac{108x^6y^{12}}{16x^{12}y^{20}}$

Now combining powers of same variable i.e if $\frac{x^a}{x^b}=x^{a-b}$

Solving:

$=\frac{108x^{6-12}y^{12-20}}{16}\\=\frac{108x^{-6}y^{-8}}{16}\\Divide\,\,by\,\,4:\\=\frac{27x^{-6}y^{-8}}{4}$

The exponent rule says: if $x^{-1} \,\,then\,\, \frac{1}{x}$

$=\frac{27}{4x^{6}y^{8}}$

The mistake he did, was in calculating powers, when 12 is taken to numerator it becomes -12 and 6-12 is -6 and not 6 so power of x should be -6 i.e x^-6 and not x^6

So, the correct answer is $=\frac{27}{4x^{6}y^{8}}$

Keywords: Exponents

Learn more about Exponents at:

#learnwithBrainly

3 0

2 years ago