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kirill115 [55]
3 years ago
14

Suppose IQ scores were obtained for 20 randomly selected sets of siblings. The 20 pairs of measurements yield x overbarequals103

.29​, y overbarequals103.75​, requals0.899​, ​P-valueequals​0.000, and ModifyingAbove y with caret equals negative 9.5 plus 1.1 x​, where x represents the IQ score of the younger child. Find the best predicted value of ModifyingAbove y with caret given that the younger child has an IQ of 105​? Use a significance level of 0.05.
Mathematics
1 answer:
Lesechka [4]3 years ago
5 0

Answer:

106

Step-by-step explanation:

Given :

Number of the set of siblings = 20

This 20 pair yields $\overline x$ = 103.29, $\overline y$ = 103.75, requals = 0.899, P-value = 0.000

Let x represents the IQ score of the younger child.

And y is the predicted value of Y(^).

So according to the question,

x = 105

and y = -9.5 + 1.1 x

Then,

y = -9.5 + 1.1 (105)

y = -9.5 + 115.5

y = 106

So the best predicted value of Y(^) is 106

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Line CD passes through points C(3, –5) and D(6, 0). What is the equation of line CD in standard form?
kiruha [24]

The equation of line CD in standard form is: B. 5x - 3y = 30

<h3>How to determine the equation of line CD in standard form?</h3>

Mathematically, the standard form of the equation of a straight line is given by this mathematical expression (linear function);

y = mx + c

Where:

  • x and y are the points.
  • m represents the slope, gradient, or rate of change.
  • c represents the intercept.

Next, we would determine the slope of this line by using this formula:

Slope, m = Δy/Δx

Slope, m = Change in y-axis/Change in x-axis

Slope, m = (0 + 5)/(6 - 3)

Slope, m = 5/3

At point (6, 0), the point-slope equation of the line is given by:

y - y₁ = m(x - x₁)

y - 0 = 5/3(x - 6)

y = 5x/3 - 30/3

y = 5x/3 - 10

Multiplying all through by 3, we have:

3y = 5x - 30

Rearranging the equation, we have:

5x - 3y = 30

Read more on slope here: brainly.com/question/7748981

#SPJ1

4 0
1 year ago
Read 2 more answers
Let x be the amount of time (in minutes) that a particular San Francisco commuter must wait for a BART train. Suppose that the d
babymother [125]

Answer:

a) P (x is less than 11 minutes) =  0.55

P (x is more than 14 minutes) = 0.3

b) P (x is between 8 and 13 minutes) = 0.25

c)  P(x < c) =0.8 is 0.05 x c = 0.8

Step-by-step explanation:

a) P (x is less than 11 minutes) = 11 x 0.05

                                                 = 0.55

P (x is more than 14 minutes) = 0.05 x (20 - 14)

                                                = 0.05 x 6

                                                = 0.3

b) P (x is between 8 and 13 minutes) = 0.05 x (13 -8)

                                                            = 0.05 x 5

                                                             = 0.25

c)  P(x < c) =0.8

The area between 0 and c is 0.8

Hence,

0.05 x c = 0.8

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3 years ago
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Dinesh thinks that the point (1,3) is on the line y = 4x - 2.
olga_2 [115]

To see if the point is on the line, plug in one of the point values to see if it equals out.

y = 4x - 2         I will plug in 1 for x to see if y does = 3

y = 4(1) - 2

y = 4 - 2

y = 2           so (1, 2)

Dinesh is not correct because the point on the line when x = 1 is (1, 2) not (1, 3)

8 0
3 years ago
The formula y - y 1 = m(x - x 1 ) is the point-slope form of the equation of a line where m is the
rewona [7]

Answer:

m=2

Step-by-step explanation:

0-(-2) / 5-4 = 2/1

m =2

The slope is 2 for the given points!

Hope that helps!

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VMariaS [17]

Answer:

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Step-by-step explanation:

(first number x would represent boys)

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