1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Brut [27]
3 years ago
11

You are estimating the cost of optical sensors based on the resolution of the sensor. You decide to calculate the coefficient of

determination (R2) as part of determining the goodness of fit of an equation. Using the preliminary calculations below, calculate the R2 and determine its meaning.
Summation of (Yi - Ybar)2 = 147172
Summation of (Yhat - Ybar)2 = 130542
Summation of (Y - Yhat)2 = 16630
a. 88.70% of the variation in the cost is being explained by the resolution.
b. 88.70% of the variation in the resolution is being explained by the cost.
c. 11.30% of the variation in the resolution is being explained by the cost.
d. 11.30% of the variation in the cost is being explained by the resolution.
Mathematics
1 answer:
Mashcka [7]3 years ago
3 0

Answer:

a. 88.70% of the variation in the cost is being explained by the resolution.

Step-by-step explanation:

Given :

Summation of (Yi - Ybar)2 = 147172

Summation of (Yhat - Ybar)2 = 130542

Summation of (Y - Yhat)2 = 16630

The Coefficient of determination (R²) :

Sum of Square regression (SSR) / sum of square TOTAL (SST). It gives the percentage of the dependent variable which can be explained by the regression line.

Cost is the dependent variable in this scenario.

SSR = Summation of (Yhat - Ybar)2 = 130542

SST = Summation of (Yi - Ybar)2 = 147172

Hence,

SSR / SST = 130542 / 147172

R² = 130542 / 147172

R² = 0.8870029 = (0.8870029 * 100%) = 88.7%

You might be interested in
F(x) = x^2 + 3 g(x) = 4x - 3 Find (f°g)(-1)​<br><br>a. 4<br>b. -52<br>c. -4<br>d. 52
Yanka [14]

Answer:

Step-by-step explanation:

g(-1) = 4(-1) - 3 = -4 -3 = -7

f(-7) = (-7)^2 + 3 = 49 + 3 = 52

Answer is D

4 0
4 years ago
P;EASE HELP!!!!!  Consider the leading term of the polynomial function. What is the end behavior of the graph? Describe the end
Marrrta [24]
<span>The end behavior of a polynomial function is the behavior of the graph of f as 
x → +∞ or x → -∞ , depending on its leading coefficient.

In the example, the LEADING COEFFICIENT = - 3x</span>⁵
<span>,when x → +∞, ( - 3x⁵ ) → - ∞ . The end behavior, the polynomial approches minus infinity



</span>
7 0
4 years ago
16-11-13-5-10 2-15-18 13-23 8-11-17 11-12 22-11-12-19 decode message
Katen [24]

Answer:

16-11-13-5-10 => P-K-M-E-J

2-15-18 => B-O-R

13-23 = > M-W

8-11-17 => H-K-Q

11-12 => K-L

22-11-12-19 => V-K-L-S

Step-by-step explanation:

Given

See attachment for code key

Required

Decode

16-11-13-5-10

2-15-18

13-23

8-11-17

11-12

22-11-12-19

From the code key, we can see that each number represent the alphabet at that position;

To do this, we simply replace each number with the alphabet they represent.

So, we have:

16-11-13-5-10 => P-K-M-E-J

2-15-18 => B-O-R

13-23 = > M-W

8-11-17 => H-K-Q

11-12 => K-L

22-11-12-19 => V-K-L-S

4 0
3 years ago
How can a function table help you find input or output
PSYCHO15rus [73]

Answer:

<em>Use a variable for the input and write the rule. Then, see if the function rule works for each term in the table by plugging the input into the expression and seeing if it equals the listed output. Substitute the input values in for in the function to see if you get the results in the output column.</em>

<em />

7 0
3 years ago
Read 2 more answers
Write the slope-intercept from of the equation of the line through the given point with the given slope through (-1,4), slope =
g100num [7]
The point-slope form is y - y1 = m(x - x1) where x1 ad y1 are the coordinates given and the m is the slope, which is given also. Plugging these in, we have
y - 4 = -2(x - (-1)), which simplifies to y - 4 = -2(x + 1)
5 0
3 years ago
Other questions:
  • The present age of Joyal’s mother is three times the present age of joyal. After 5 years their ages will add up to 66. Find thei
    11·1 answer
  • How do you write 0.214 in words?
    5·2 answers
  • How to do the work.
    5·1 answer
  • If i = ^-1,then i^2<br> .
    10·2 answers
  • Which two lines are parallel?
    10·2 answers
  • What is the value of x in the equation?<br> 4+x+2-2x=5
    10·2 answers
  • 1. The $199.99 game console Amy purchased was on sale for 10% off. How
    7·1 answer
  • Help me help me help me help me plz on number 7 plz
    8·1 answer
  • What is the simplified form of -3°(2 + 2) - 4(x2 + 1)?
    7·1 answer
  • A polynomial function has a zero at x = 1 with a multiplicity of 3 and a zero at x = -2 with a multiplicity of 1. The y – interc
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!