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slamgirl [31]
3 years ago
7

A least squares regression line: a. may be used to predict a value of y if the corresponding x value is given b. implies a cause

-effect relationship between x and y c. can only be determined if a good linear relationship exists between x and y d. None of these alternatives is correct.
Mathematics
1 answer:
seraphim [82]3 years ago
3 0

Answer:

a) May be used to predict a value of y if the corresponding x value is given

Step-by-step explanation:

In regression analysis, the vertical distance from the regression line to the data points can be minimized using the least square regression line.

Given the example of a least square regression equation:

y = ax + b

Where

a = slope

b = Y-intercept

If the value of x is known, the value of y may be predicted.

Option A is correct.

A least squares regression line may be used to predict a value of y if the corresponding x value is given

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Points F and E on the coordinate grid below show the positions of two midfield players of a soccer team:
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F is E reflected across the y-axis; only the signs of the x-coordinates of F and E are different.

Step-by-step explanation:

The question is incomplete. Here is the complete question.

" Points F and E on the coordinate grid below show the positions of two midfield players of a soccer team:

Coordinate grid shown from negative 4 to positive 4 on x-axis and negative 4 to positive 4 on y-axis. From the origin, point E is 1.5 units to the left and 3 units up. From the origin, point F is 1.5 units to the right and 3 units up.

Which statement best describes the relationship between the positions of the two midfield players? (1 point)

Based on the coordinate of E;

The value on the x axis is -1.5 since the point is 1.5unitsTO THE LEFT from the origin(-ve x-axis acts towards the left in space). The value on the y-axis will be +3units since its 3units UP(+ve y axis acts upward).

The E coordinates will therefore be (-1.5, 3)

Similarly, for coordinate F:

If from the origin, point F is 1.5 units TO THE RIGHT, then the x-axis will be +1.5 (x-axis is positive towards the right) and +3 units up(+ve y axis acts upward).

The F coordinate will therefore be;

(1.5, 3).

From both coordinates, it can be seen that both x axis are of the same value but different signs. This means that the points E and F will act in the opposite side of the y-axis and a reflector of each other.

Based on the explanation above, it can be concluded that "F is E reflected across the y-axis; only the signs of the x-coordinates of F and E are different."

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