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densk [106]
3 years ago
5

Which of the following statements concerning the linear correlation coefficient are​ true? ​I: If the linear correlation coeffic

ient for two variables is​ zero, then there is no relationship between the variables. ​II: If the slope of the regression line is​ negative, then the linear correlation coefficient is negative. ​III: The value of the linear correlation coefficient always lies betweenminus1 and 1. ​IV: A linear correlation coefficient of 0.62 suggests a stronger linear relationship than a linear correlation coefficient of minus0.82.
Mathematics
1 answer:
Anuta_ua [19.1K]3 years ago
7 0

Answer:

​I: If the linear correlation coefficient for two variables is​ zero, then there is no relationship between the variables. ​II: If the slope of the regression line is​ negative, then the linear correlation coefficient is negative. ​III: The value of the linear correlation coefficient always lies between minus 1 and 1. ​

Step-by-step explanation:

A correlation coefficient is a measure of how closely the variables are related.  This coefficient ranges from -1 to 1, with -1 being a perfect fit for a decreasing data set and 1 being a perfect fit for an increasing data set.

If the data set has a negative correlation coefficient, the data is decreasing; this means that the slope of the regression line will be negative.

The closer the correlation coefficient is to -1 or 1, the better the fit; this means that a correlation coefficient of -0.82 will be stronger than one of 0.62.

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For g(x)=1/2x-11, find x when g(x)=-5
Vesna [10]

Answer:

x = 12

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

<u>Algebra I</u>

  • Function Notation

Step-by-step explanation:

<u>Step 1: Define</u>

g(x) = 1/2x - 11

g(x) = -5

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Substitute:                    -5 = 1/2x - 11
  2. Isolate <em>x</em> term:              6 = 1/2x
  3. Isolate <em>x</em>:                       12 = x
  4. Rewrite:                        x = 12
7 0
2 years ago
Solve the equation<br><br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B3%7D%7B8%7Dx%20-%2017%20%3D%2010" id="TexFormula1" titl
Annette [7]

Answer:

x = 72

Step-by-step explanation:

<u>To solve for 'x', isolate it</u>. This means to keep 'x' on one side of the equal sign, while moving the other numbers to the other side. The numbers on the other side will tell you what 'x' equals to.

<u>When 'moving' a number to the other side, you cancel it out where it originally is by doing reverse operations</u>. (Reverse operation pairs are addition/subtraction and division/multiplication). To keep an equation balanced, <u>what you do to one side you have to do to the other</u>.

\frac{3}{8}x-17=10        Keep 'x' on the left and move everything over.

\frac{3}{8}x-17+17=10+17        Add 17 to both sides. "-17" cancels out on the left.

\frac{3}{8}x=27        Simplified right side

\frac{3}{8}x/\frac{3}{8}=27/\frac{3}{8}        Because 3/8 originally multiplies with 'x', do the reverse: divide both sides by 3/8.

x=27/\frac{3}{8}        To divide a fraction, change to multiplication and flip the fraction's top and bottom numbers.

x=27*\frac{8}{3}        Combine the factors into one fraction.

x=\frac{27*8}{3}        Multiply 27 by 8 in the numerator.

x=\frac{216}{3}        Simplify the fraction by dividing top by bottom.

x=72        Final answer, solved for 'x'

5 0
3 years ago
HOW IS FINDING VOLUME DIFFERENT FROM FINDING AREA ?
IrinaVladis [17]

Area is 2 dimensional while volume is three dimensional.
7 0
3 years ago
Read 2 more answers
Which is the interval notation represent the domain?
Kazeer [188]

Answer:

The first choice, (-\infty, 7) \cup (7, \infty).

Step-by-step explanation:

The dashed vertical line is a vertical asymptote. The x-coordinate of all points on this vertical asymptote are equal to 7. In other words, when the x-value of a point on the graph approaches 7, its y-value approaches infinity (or negative infinity.)

Either way, the graph is not defined for x = 7. The point 7 should thus be excluded from the domain of the graph.

The graph is apparently defined for all other x-values. The domain of the function should thus be all real numbers with the exception of x = 7. Here's how to write that in interval notation:

  • The set of all real numbers can be expressed as the interval (-\infty, \infty). Note that infinity \infty (or (- \infty) itself isn't a real number. The round brackets indicate that both endpoints are excluded from the from the interval.
  • The set of all real numbers less than (not equal to) 7 is (-\infty,7 ) (both ends are excluded.) The set of all real numbers greater than (not equal to) 7 is (7, \infty).
  • The set of all real numbers that is not equal to 7 is the union of all real numbers less than 7 and all real numbers greater than 7. The union operator \cup connects two intervals.

In other words, the domain is (-\infty, 7) \cup (7, \infty).

5 0
3 years ago
Help me pleaseeeessss
wlad13 [49]

Answer:

28/53

Step-by-step explanation:

Hey There!

So they want us to find the sine of angle S

well remember is sohcahtoa

S - sine

O - opposite

H - hypotenuse

meaning that

Sin=\frac{opposite}{hypotenuse}

The opposite side of angle S is 28 and the hypotenuse is 53

so sinS=\frac{28}{53}

5 0
2 years ago
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