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maw [93]
2 years ago
14

The least-squares regression line is: Group of answer choices a. the line that passes through the most data points. b. the line

that minimizes the sum of the squares of the vertical distances from each point to the line. c. the line such that half of the data points fall above the line and half fall below the line d. all of the above are correct
Mathematics
1 answer:
valentinak56 [21]2 years ago
8 0

Answer:

a. the line that passes through the most data points.

Step-by-step explanation:

The least-squares regression line is the line that passes from mostly all the data points also this line would be located on a scatterplot that minimizes the distance square from the points to the line

Therefore as per the given situation, the option a is correct

Hence, the rest of the given options would be wrong

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Find the slope of the line on the graph below:<br> Slope = [ ]
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Step-by-step explanation:

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polygon ABCD is defined by the points A(-4,2), B(-2,4), C(1,3), and D(2,2). match the coordinates of the points you f the transf
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<u><em>Answer:</em></u>

D' ..................> (-2,2)

C'' .................> (3,-1)

A''' ................> (4,-2)

B'' .................> (4,2)

<u><em>Step-by-step explanation:</em></u>

<u>Before we begin, we should remember the rotation rules:</u>

<u>1- Rotation 90° clockwise:</u>

Coordinates (x,y) become (y,-x)

<u>2- Rotation 90° counter clockwise:</u>

Coordinates (x,y) become (-y,x)

<u>3- Rotation 180° clockwise:</u>

Coordinates (x,y) become (-x,-y)

<u>4- Rotation 270° counter clockwise:</u>

Coordinates (x,y) become (y,-x) ...........> same as rotation 90° clockwise

<u>Now, let's consider the given problem:</u>

<u>1- Coordinates of D' if polygon ABCD rotates 90° counter clockwise to create A'B'C'D'</u>

Original coordinates of point D are (2,2)

Rotation 90° counter clockwise means that the new coordinates will be (-y,x) which is (-2,2)

<u>2- Coordinates of C'' if polygon ABCD rotates 90° clockwise to create A''B''C''D''</u>

Original coordinates of point C are (1,3)

Rotation 90° clockwise means that the new coordinates will be (y,x) which is (3,-1)

<u>3- Coordinates of A''' if polygon ABCD rotates 180° clockwise to create A'''B'''C'''D'''</u>

Original coordinates of point A are (-4,2)

Rotation 180° clockwise means that the new coordinates will be (-x,-y) which is (4,-2)

<u>4- Coordinates of B'' if polygon ABCD rotates 270° counter clockwise to create A''B''C''D''</u>

Original coordinates of point B are (-2,4)

Rotation 270° counter clockwise means that the new coordinates will be (y,-x) which is (4,2)

Hope this helps :)

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