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3 years ago

11

1. What is a residual?

1 answer:

sladkih [1.3K]3 years ago

5 0

Answer:

1. what is a residual?

A. A residual is a value of y -y, which is the difference between an observed value of y and a predicted value of y.

2. The regression line has the property that the_sum of squares_of the residuals is the minimum possible sum.

Step-by-step explanation:

1. What is a residual?

A. A residual is a value of y -y, which is the difference between an observed value of y and a predicted value of y.

2. In what sense is the regression line the straight line that "best" fits the points in a scatterplot?

The regression line has the property that the_sum of squares_of the residuals is the minimum possible sum.

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While sailing, Jacob is 150 feet from a lighthouse. The angle of elevation from his feet on the boat (at sea level) to the top o

Vlada [557]

Answer:

The height of the lighthouse is approximately 166.6 feet.

Step-by-step explanation:

Let the height of the lighthouse be represented by s, then;

Tan 48° = (opposite) ÷ (adjacent)

Tan 48° = s ÷ 150

⇒ s = 150 × Tan 48°

= 150 × 1.1106

= 166.59

s ≅ 166.6 feet

Therefore, the height of the lighthouse is approximately 166.6 feet.

7 0

3 years ago

C'est un calcul de développement combien fait : 3x-6+7×(2x+4)

Trava [24]

The answer is 17x+22

3 0

3 years ago

The length of a rectangle is 10 more than the width. If the

kotegsom [21]

Answer:

Dimensions : L = 12 inches, Width = 2 inches

Step-by-step explanation:

Let width be w

Let length be w + 10

Area = length x width

24 = w x (w + 10)

$24 = w^2 + 10w\\\\w^2 + 10w - 24 = 0\\\\w^2 +12w -2w -24 = 0\\\\w(w+12) -2(w+12) = 0\\(w-2)(w+12)=0 \\w = 2 , -12$

Since width is a side of a rectangle , it cannot be negative. so w = 2 inches .

Therefore , length = w + 10 = 12inches

5 0

3 years ago

Find the average rate of change of f(x) = 4x² – 3 from 3 to 9.

Lina20 [59]

Answer:

44

Step-by-step explanation:

Given:

$f(x) = 4x^2 - 3$

Required:

Average range of change from 3 to 9

SOLUTION:

Step 1:

Find f(3) and f(9):

To find f(3), replace x with 3 in the given function

$f(3) = 4(3)^2 - 3$

$f(3) = 4(9) - 3$

$f(3) = 36 - 3$

$f(3) = 33$

To find f(9), replace x with 9 in the given function

$f(9) = 4(9)^2 - 3$

$f(9) = 4(81) - 3$

$f(9) = 324 - 3$

$f(9) = 321$

Average rate of change = $\frac{f(b) - f(a)}{b - a}$

Where,

$a = 3, f(a) = 33$

$b = 9, f(b) = 321$

Plug in the values into the formula for average rate of change.

$= \frac{321 - 33}{9 - 3}$

$= \frac{288}{6}$

$= 44$

Average rate of change = 44

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3 years ago

Find the indicated part for the similar triangles.

sattari [20]

EF=9 cm. Both triangles are the same.

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3 years ago

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