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Snezhnost [94]
3 years ago
14

Solving linear inequalities

Mathematics
1 answer:
kolezko [41]3 years ago
8 0
What exactly do you need help with  with this topic<span />
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A set of bivariate data was used to create a least squares regression line. Which of the following is minimized by the line
77julia77 [94]

Answer:

B) The sum of the squared residuals

Step-by-step explanation:

Least Square Regression Line is drawn through a bivariate data(Data in two variables) plotted on a graph to explain the relation between the explanatory variable(x) and the response variable(y).

Not all the points will lie on the Least Square Regression Line in all cases. Some points will be above line and some points will be below the line. The vertical distance between the points and the line is known as residual. Since, some points are above the line and some are below, the sum of residuals is always zero for a Least Square Regression Line.

Since, we want to minimize the overall error(residual) so that our line is as close to the points as possible, considering the sum of residuals wont be helpful as it will always be zero. So we square the residuals first and them sum them. This always gives a positive value. The Least Square Regression Line minimizes this sum of residuals and the result is a line of Best Fit for the bivariate data.

Therefore, option B gives the correct answer.

5 0
2 years ago
Read 2 more answers
Solve x2 - 8x - 9 = 0. Rewrite the equation so that it is of the form x2 + bx = c.
barxatty [35]

Answer:

x=9,-1  and x^2+(-8)x=9

Explanation:

we have been given with the quadratic equation x^2-8x-9

we compare the given quadratic equation with general quadratic equation

general quadratic is ax^2+bx+c=0

from given quadratic equation a=1,b= -8,c= -9

substituting these values in the formula for discriminant D=b^{2}-4ac

D=(-8)^2-4(1)(-9)=100

Now, to find the value of x

Formula is x=\frac{-b\pm\sqrt{D}}{2a}

Now, substituting the values we will get

x=\frac{-(-8)\pm\sqrt{100}} {2}= \frac{8\pm10}{2}=9,-1

And rewritting the given equation by  shifting 9 to right hand side of the given equation and taking minus inside the bracket so as to convert it in the form of

x^2+bx=c

4 0
3 years ago
Read 2 more answers
Pleaseeeeeeeeeeeeee helppppppppppp
sergeinik [125]

Answer:

Step-by-step explanation:

8) (5x + 23) + (17x - 41) = 180

                             22x = 198

                                  x = 9

      arc JK    5(9) + 23 = 68°

     arc MJ    17(9) - 41 = 112°

     arc LMK  360 - 112 = 248

9) 8x + (21x - 12) + (10x + 9) + 90 = 360

                                             39x = 273

                                                  x = 7

                    arc WX    21(7) - 12 = 135°

                    arc YW    90 + 8(7) = 146°

                      arc YX    10(7) + 9 = 79°

                  arc VXW  360 - 8(7) = 304°

6 0
2 years ago
A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is
mamaluj [8]

Answer: The test contains 10 three-point questions and 14 five-point questions.

Step-by-step explanation:

Let x represent the number of 3-point questions.

Let y represent the number of 5-point questions.

The maths test consists of 24 questions. This means that

x + y = 24

Each question is worth either 3 points or 5 and the test is worth 100 points. This means that

3x + 5y = 100 - - - - - - - - - - -1

Substituting x = 24 - y into equation 1, it becomes

3(24 - y) + 5y = 100

72 - 3y + 5y = 100

- 3y + 5y = 100 - 72

2y = 28

y = 28/2 = 14

Substituting y = 14 into x = 24 - y , it becomes

x = 24 - 14 = 10

5 0
3 years ago
Solve, then type your answer into the box. Use the sketch pad(s) to show your work, or the graph on the next page to upload an i
Andrei [34K]

Answer:a

Step-by-step explanation:

a

8 0
2 years ago
Read 2 more answers
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