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Mumz [18]
3 years ago
6

Nine pairs of data yield r=0.867 and the regression equation y=19.4+0.93x

Mathematics
1 answer:
Gwar [14]3 years ago
6 0

Answer:

38

Step-by-step explanation:

Regression analysis is the relationship among one dependent variable and one or more independent variables. Method of regression is used in finance, investing, and other disciplines.

Given:

Nine pairs of data yield and the regression equation y=19.4+0.93x

To find:

the best predicted value of y for x=20

Solution:

y=19.4+0.93x

Put x=20

y=19.4+0.93(20)\\=19.4+18.6\\=38

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Jose has 1000$ in his savings account. it pays out 5% interest what is his balance after 1 year
NARA [144]

The most appropriate choice for simple interest will be given by- Balance of Jose after 1 year is $1050

What is simple interest?

Simple interest is the interest applied on the principal value after charging some certain percentage of rate for some certain amount of time.

If the principal value is p, rate is r % per annum and time is t years

Simple interest is calculated as

SI = p ₓ r ₓ t / 100

Here,

Principal for Jose = $1000

Rate = 5%

Time = 1 year

Simple interest = 1000x5x1/100

                         = $50

Amount = $(1000+50)

             = $1050

Balance of Jose after 1 year is $1050

To learn more about simple interest, refer to the link:
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Step-by-step explanation:

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Solve the equation for exact solutions over the interval​ [0, 2π​).
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Answer:

\displaystyle x=\left\{0, \frac{2\pi}{3}, \frac{4\pi}{3}\right\}

Step-by-step explanation:

We want to solve the equation:

-2\cos^2(x)=-\cos(x)-1

Over the interval [0, 2π).

First, notice that this is in quadratic form. So, to make things simpler, we can let <em>u</em> = cos(x). Substitute:

-2u^2=-u-1

Rearrange:

2u^2-u-1=0

Factor:

(2u+1)(u-1)=0

Zero Product Property:

2u+1=0\text{ or } u-1=0

Solve for each case:

\displaystyle u=-\frac{1}{2}\text{ or } u=1

Back-substitute:

\displaystyle \cos(x)=-\frac{1}{2}\text{ or } \cos(x)=1

Using the unit circle:

\displaystyle x=\left\{0, \frac{2\pi}{3}, \frac{4\pi}{3}\right\}

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