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timama [110]
2 years ago
14

Data and Statistics- Find the median in the box plot below:

Mathematics
1 answer:
NeTakaya2 years ago
5 0

Answer:

Your median is 40

Step-by-step explanation:

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What does a residual value of 1. 3 mean when referring to the line of best fit of a data set? A data point is 1. 3 units above t
Darina [25.2K]

You can use the fact that a residual value is obtained by subtracting the prediction by the line of best fit from the actual data value we have.

The residual value 1.3 when referring to the line of best fit of a data set means:

Option B: A data point is 1.3 units below the line of best fit

<h3>What is a residual value and how is it calculated?</h3>

First of all, this whole story starts with data. We get data and we try to fit a line which can best imitate the way data is lying on the coordinate plane.

Remember that on a 2d coordinate cartesian plane, we have (x,y) called as point on plane and x is abscissa and y is called ordinate.

Let the best fit line be denoted by y = mx + c (assuming we're working with 2d data) with slope m and y-intercept c.

Now, this line is used to predict where can the next data point may lie.

When this best fit line is used to predict already present data point, we get the error that best fit line made when predicting the real data.

This is measured by "residual value"

For data point with ordinate b, we suppose get prediction as y

Then we have the residual value as y - b.

Remember, the prediction is before the real data point's ordinate.

<h3>How to know what does 1.3 residual value mean?</h3>

Let the real value be b and the predicted value be y from which this residual was calculated.

Then we have:

y - b = 1.3

y = 1.3 + b

Thus, we see that prediction is bigger than the real data point's y-ordinate. Since y axis has increasing value as we go higher and higher vertically, thus this prediction value's ordinate is higher than that of real value's ordinate.

The prediction, since shows the height of best fit line on that input point, thus we have:

Option B: A data point is 1.3 units below the line of best fit.

Learn more about line of best fit here:

brainly.com/question/2396661

8 0
3 years ago
What is the area of the largest rectangle with lower base on the x-axis and upper vertices on the curve y = 12 - x2? (4 points)
wolverine [178]

Answer: 16 square units

Step-by-step explanation:

let the vertex in quadrant I be (x,y)  

then the vertex in quadratnt II is (-x,y)  

base of the rectangle = 2x  

height of the rectangle = y  

Area = xy  

= x(12 - x²)  

= -x³ + 12x  

d(area)/dx = 3x² - 12 = 0 for a maximum of area  

3x² = 12  

x² = 4  

x = ±2  

y = 12-4 = 8

So, the largest area = 2 x 8 = 16 square units

7 0
3 years ago
Guys I don’t know the answer tell me the remainder too
ikadub [295]

Answer:

119 R5

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3 0
2 years ago
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Which of the following could be a slant cross section of a right cone?
andriy [413]
I believe the answer is B, Oval.
4 0
3 years ago
find the length of the segment connecting the two given points. Write your answer in simplest form . ** Round your answer to the
taurus [48]

Answer: 16

Step-by-step explanation:

Because the Y is 0 for both, you can simply draw a line graph with one point at 15, and the other at -1. The difference between 15 and -1 is 16. Or ABS(15-(-1))=16

8 0
3 years ago
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