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N76 [4]
3 years ago
14

For a least squares regression line, the sum of the residuals is __________.

Mathematics
1 answer:
Westkost [7]3 years ago
3 0

Answer:

d. always zero.

Step-by-step explanation:

A least squares regression line is a standard technique in regression analysis used to make the vertical distance obtained from the data points running to the regression line to become very minimal or as small as possible.

For a least squares regression line, the sum of the residuals is always zero.

Basically, residuals are used to measure or determine whether or not the line of regression is a good fit or match for the data by subtracting the difference between them i.e the predicted y value and the actual y value, for the x value respectively.

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A bag contains 4 white,5 blacks and 2 blue balls. 3 balls are drawn one after the other without replacement from the bag .what i
Doss [256]

Answer:

24/99

Step-by-step explanation:

From the question given above, the following data were obtained:

White (W) balls = 4

Black (B) balls = 5

Blue (Bl) balls = 2

Probability that they are of different color =?

Next, we shall determine the total number of balls in the bag. This can be obtained as follow:

White (W) balls = 4

Black (B) balls = 5

Blue (Bl) balls = 2

TOTAL = 4 + 5 + 2 = 11 balls

Next, we shall determine the possible outcome of draw. This can be obtained as follow.

The possible outcome could be:

WBLB or WBBL or BBLW or BWBL or BLBW or BLWB

Next we shall determine the probability of each of outcomes.

Since the ball is drawn without replacement, it means the total number of ball will reduce after each draw.

White (W) balls = 4

Black (B) balls = 5

Blue (Bl) balls = 2

TOTAL = 11

P(WBLB) = 4/11 × 2/10 × 5/9 = 40/990

P(WBLB) = 4/99

P(WBBL) = 4/11 × 5/10 × 2/9 = 40/990

P(WBBL) = 4/99

P(BBLW) = 5/11 × 2/10 × 4/9 = 40/990

P(BBLW) = 4/99

P(BWBL) = 5/11 × 4/10 × 2/9 = 40/990

P(BWBL) = 4/99

P(BLBW) = 2/11 × 5/10 × 4/9 = 40/990

P(BLBW) = 4/99

P(BLWB) = 2/11 × 4/10 × 5/9 = 40/990

P(BLWB) = 4/99

Finally, we shall determine the probability that they are of different color. This can be obtained as follow:

P(WBLB) = 4/99

P(WBBL) = 4/99

P(BBLW) = 4/99

P(BWBL) = 4/99

P(BLBW) = 4/99

P(BLWB) = 4/99

Probability that they are of different color =?

Probability that they are of different color = P(WBLB) + P(WBBL) + P(BBLW) + P(BWBL) + P(BLBW) + P(BLWB)

= 4/99 + 4/99 + 4/99 + 4/99 + 4/99 + 4/99

= (4 + 4 + 4 + 4 + 4 + 4)/99

= 24/99

Thus, the probability that they are of different color is 24/99

4 0
3 years ago
In the cafeteria 100 milk cartons were put out and 27 remained..what is the ratio of milk cartons taken to total milk cartons?
True [87]
If they started with 100 and 27 remained, then (100 - 27) = 73 were taken.

ratio of milk cartons taken to total milk cartons = 73/100 or 73:100 or 73 to 100
8 0
3 years ago
HELP!!!
Jlenok [28]
You can compose, or create, a parallelogram (a four-sided shape with two sets of opposite, parallel sides) using two shapes, such as triangles or squares. You can decompose, or take apart, a parallelogram by dividing it from opposite corners, either vertically or horizontally.
6 0
3 years ago
Anyone know this....
zepelin [54]

Answer:

D

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
The radius of a circle is doubled. Which of the following describes the effect of this change on the area? PLZZZ HELP!!! THE RED
goblinko [34]

Answer:

The area is multiplied by 4

Step-by-step explanation:

The area of a circle is directly proportional to its square radius so if the radius is increased by x, the area will be increased by x ^ 2

4 0
3 years ago
Read 2 more answers
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