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3 years ago

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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Please Assist Me With This

natka813 [3]

Answer:

(16 - 8 × 2 ÷ 4 + 6) ÷ 3 = 6

Step-by-step explanation:

The given expression is (16 - 8 × 2 ÷ 4 + 6) ÷ 3

We will solve this expression by using BODMAS rule,

B - Bracket (Parenthesis)

O - Order (exponents)

D - Division

M - Multiplication

A - Addition

S - Subtraction

(16 - $8^{1}$ × 2 ÷ 4 + 6) ÷ 3

We will solve the expression inside the parenthesis first followed up by the exponents,

(16 - $8^{1}$ × 2 ÷ 4 + 6)

= (16 - 8 × 2 ÷ 4 + 6)

Then Divide,

= (16 - 8 × $\frac{1}{2}$ + 6)

Then multiply,

= (16 - 4 + 6)

Further addition,

= (22 - 4 )

At last subtract,

= (18)

Now put the solution of the parentheses in the expression,

= (18) ÷ 3

= 6

Therefore, solution of the given expression will be 6.

7 0

3 years ago

What is the midpoint between (1,5) and (7,-3)

Leokris [45]

Answer:

(4,1)

Step-by-step explanation:

$Midpoint=(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})\\$

$=(\frac{1+7}{2},\frac{5-3}{2})\\\\=(\frac{8}{2},\frac{2}{2})\\\\=(4,1)$

6 0

3 years ago

Read 2 more answers

What is y=x 9x-2y=-49 using substitution

Veronika [31]

Answer:

y= -7

Step-by-step explanation:

Substitute y for x in the equation since the rule is true.

6 0

2 years ago

This isosceles triangle has two sides of equal length, a, that are longer than the length of the base, b. The perimeter of the t

goldenfox [79]

Answer:

2(6.3) + b = 15.7

12.6 + b = 15.7

b = 3.1

3 0

3 years ago

Show the processes for solving 2x+3y=5 and 4x - y=17 using elimination and substitution

r-ruslan [8.4K]

ANSWER:

The solution of the two equations 2x+3y=5 and 4x - y=17 is (4, -1).

SOLUTION:

Given, two linear equations are 2x + 3y = 5 → (1) and 4x – y = 17 → (2).

Let us first solve the above equations using elimination process. 

For elimination, one of the coefficients of variables has to be same in order to cancel them.

Now solve (1) and (2)

eqn (1) $\times$ 2 → 4x + 6y = 10

eqn (2) → 4x – y = 17

(-) ----------------------------

0x + 7y = -7

y = -1

Substitute y value in (2)

$4 x-(-1)=17 \rightarrow 4 x+1=17 \rightarrow 4 x=17-1 \rightarrow 4 x=16 \rightarrow x=4$

So, solution of two equations is (4, -1).

Now let us solve using substitution process.

Then, (2) → 4x – y = 17 → 4x = 17 + y → y = 4x – 17

Now substitute y value in (1) → 2x + 3(4x – 17) = 5 → 2x + 12x – 51 = 5 → 14x = 5 + 51 → 14x = 56

x = 4

Substitute x value in (2) → y = 4(4) – 17 → y = 16 – 17 → y = -1

Hence, the solution of the two equations is (4, -1).

7 0

3 years ago