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3 years ago

What does a residual value of –4.5 mean in reference to the line of best fit?

Mathematics

2 answers:

Sonbull [250]3 years ago

8 0

Answer:

The actual or observed data point is below the line of best fit.

Step-by-step explanation:

Since we know that residual is the difference between the observed value of the dependent variable (y) and the predicted value (ŷ) of a regression model. Residual tells us that how far the data falls from the regression line.

$\text{Residual}=\text{Observed value- Predicted value}$

If we have a positive value for residual, this means dependent variable's actual value is greater than its predicted value.

If we have a negative value for residual, this means dependent variable's actual value is less than its predicted value.
For data points above the line, the residual is positive, and for data points below the line, the residual is negative.

$-4.5=\text{Observed value- Predicted value}$

$\text{ Predicted value}-4.5=\text{Observed value}$

Since our given residual value is -4.5, therefore, observed or actual value of dependent variable is 4.5 less than its predicted value and it is below line of best fit.

Step2247 [10]3 years ago

7 0

Answer:

The residual value is the difference between the observed value (from the scatter plot) and the predicted value (from the line of best fit).

Step-by-step explanation:

The residual value is the difference between the observed value (from the scatter plot) and the predicted value (from the line of best fit).

Residual Value = Observed Value - Predicted Value

Since the residual value of -4.5 is negative, we can say the predicted value is larger than the observed value. In other words, the line of best fit is "above" the scatter plot point in that specific point.

You might be interested in

Which classification describes the following syastem of equations? x=5 y=6 -x - y +z = 0

Papessa [141]

Answer:

Is a consistent independent system

Step-by-step explanation:

we know that

If a system has at least one solution, it is said to be consistent .

If a consistent system has exactly one solution, it is independent .

If a consistent system has an infinite number of solutions, it is dependent

If a system not have solution, it is said to be inconsistent

we have

$x=5$ ----> equation A

$y=6$ ----> equation B

$-x-y+z=0$ ----> equation C

substitute equation A and equation B in equation C

$-5-6+z=0$

Solve for z

$z=11$

The solution is the point (5,6,11)

The system has only one solution

therefore

Is a consistent independent system

6 0

3 years ago

Terry wants to divide his 120 baseball cards into two groups, so that the ratio of the number of cards in the first group to the

Naddik [55]

Let the number of cards in each group be 2x and 3x.
So,
2x + 3x = 120
5x = 120
x = 120 / 5
x = 24
Number of cards in each group is
2x = 2 × 24 = 48
3x = 3 × 24 = 72

7 0

3 years ago

I really need some help somebody

Bezzdna [24]

The answer is 3. This is because, where are you see f(x) and instead of the X it is -1, then X equals -1 and once you find the point of X negative one you’ll find the y point which is what it is looking for

8 0

2 years ago

Given f(x) = 10 - 16/x, find all c in the interval [2,8] that satisfy the mean value theorem

Katen [24]

F(x)=10-16/x
f'(x)=16/x^2
f'(c)=16/c^2
f(8)=10-16/8=10-2=8
f(2)=10-16/2=10-8=2
$f'(c)= \frac{f(b)-f(a)}{b-a} in (2,8),
 \frac{16}{c^2} = \frac{f(8)-f(2)}{8-2} ,
 \frac{16}{c^2} = \frac{8-2}{8-2}
$
4∈[2,8] is the required point.

8 0

3 years ago

Read 2 more answers

Is x = 2 a solution of the equation 8 - 5x = 3?* (5 Points) O Yes O No

kondaur [170]

Answer:

No sir

Step-by-step explanation:

first you will try to get x by its self.

so were it says -5x = 3 you wanna do

+5 +5 on both sides to cancel out 5 so that would be

X = 8 because -5 + 5 is 0 which in this case will be left with X

you already have 8 so x = 8

Hopefully this helps

3 0

3 years ago