Mathematics College

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.

Answers

Answer 1

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%

Related Questions

would appreciate some help

Answers

Answer:

I think its b plz don't get mad I am not so sure

b ...............,..........

The total surface area of a cube is 600
in2. What is the length of each side of the
cube? It is in.

Answers

Answer:

10

Step-by-step explanation:

Surface area is the sum of the areas of all faces (or surfaces) on a 3D shape. A cuboid has 6 rectangular faces. To find the surface area of a cuboid, add the areas of all 6 faces.

600 / 6 = 100

10 x 10 = 100

HELP PLEASE URGENT TIMED

Answers

Answer:

A²

Step-by-step explanation:

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Answers

Answer:

...

Step-by-step explanation:

Answer:

Ok

Step-by-step explanation:

lolahsusnakaijaahasjssn

Jay jogs daily for exercise. he hits faster than 3.5 miles per hour every day. which inequality representd Jay's jogging speeds s?
​

Answers

Answer:

B

Step-by-step explanation:

The speed each day is faster than 3.5. Otherwise known as the mileage covered each day.

How many 1/4 cup servings are in 3 cups of pasta?​

Answers

Answer:

12

Explanation:

1/4 × 12 = 3

Answer:

12

Step-by-step explanation:

1 cup -> 4  [tex]\frac{1}{4}[/tex] cups

3 cups -> 3 x 4 [tex]\frac{1}{4}[/tex] cups

          = 12 [tex]\frac{1}{4}[/tex] cups

Jesse looks out the attic window of his home, which is 22 ft above the ground. At an angle of elevation of 35° he sees a bird sitting at the very top of the large high rise apartment building down the street. How tall is the high rise apartment building, if the two buildings are 75 ft apart? (Round answer to 2 decimal places)

Answers

Answer:

Step-by-step explanation:

Write an equation of the line passing through the given point ​(5​,−5​) and having the given
slope m=−9. Write the final answer in​ slope-intercept form.

Answers

Answer:

y=-9x+40

Step-by-step explanation:

y-y1=m(x-x1)

y-(-5)=-9(x-5)

y+5=-9x+45

y=-9x+45-5

y=-9x+40

(-5y^2-9y-4)-(-2y^2-y+8)

Answers

Answer:

−3y2−8y−12

Step-by-step explanation:

Let's simplify step-by-step.

−5y2−9y−4−(−2y2−y+8)

Distribute the Negative Sign:

=−5y2−9y−4+−1(−2y2−y+8)

=−5y2+−9y+−4+−1(−2y2)+−1(−y)+(−1)(8)

=−5y2+−9y+−4+2y2+y+−8

Combine Like Terms:

=−5y2+−9y+−4+2y2+y+−8

=(−5y2+2y2)+(−9y+y)+(−4+−8)

=−3y2+−8y+−12

Answer:

[tex]-3y^2-8y-12[/tex]

Step-by-step explanation:

Simplify each term.

[tex]-5y^2-9y-4+2y^2+y-8[/tex]

Simplify by adding terms.

[tex]-3y^2-8y-12[/tex]

hope this helps :)

There are 12 triangles and 3 squares. What is the simplest ratio of
squares to triangles?

Answers

Squares : Triangles
3 : 12
Divide both sides by 3.
The simplest ratio is

1 : 4

Answer:

4:1

Step-by-step explanation:

Both numbers are divisable by 3, so 12 devided by 3 is for and 3 devided by 3 is 1, which would get you 4 : 1

PLEASE HELP ASAP 50 POINTS AND BRAINLIEST EASY QUESTION!

Which options have a unit rate of 3?

1. 3 3/4 : 2

2. 2 : 2/3

3. 15/2 : 2 1/2

4. 2 1/2 : 5/6

5. 1 : 1/4

6. 2/3 : 1

PLEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEASE!

Answers

what are the units pls

IS THE ANSWER B JUST TRYING TO CHECK

Answers

Answer:

No my dude its c

Step-by-step explanation:

What is AC? Giving brainliest

Answers

4/AC = AC/9
AC ^2 = 36
AC = 6

True or false answer need ASAP

Answers

Answer:

Fals, True

Step-by-step explanation:

first is false next one is true

how does 9+10 equal 21?​

Answers

9 + 10 does not equal 21.

If you add 9 and 10, you will get 19.

If you are referring to the meme, ok.

The required, left side of the expression 9 + 10 does not equal the right side expression 21.

The correct sum of 9 + 10 is 19. The statement "9 + 10 equals 21" is given by:
Consider the left side of the expression:
= 9 + 10
= 19

Where the right-hand side of the expression is 21, which implies
The left-hand side is not equal to the right-hand side.

However, mathematically, the sum is indeed 19.

Learn more about expression here:

https://brainly.com/question/31166009

#SPJ6

Help me plsss in need help there is a picture

Answers

Answer:

Division Expression - 7 ÷ 3

Unit Form - 21 thirds ÷ 3 = 7

Improper Fraction 7/3

Step-by-step explanation:

Hope this helps!! <3

Part B
Jose predicts that the value of his car will decrease exponentially by 25% over the next 4 years. If Jose's prediction
is correct, about how much will his car be valued at, to the nearest thousand dollars, after 4 more years?

Answers

It will be more than 2,000 dollars

What is the missing number?
29=(30-6)+?

Answers

Answer:

5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

30-6=24

29-24= 5

I need to replace the carpet for my bedroom floor and the supplier wants to
know the size of the room. I measured it and it was 10 feet wide by 12 feet long.
What do I tell the man at the carpet company?

A) 100 square feet or close to it.
B) 10 yards
C) 120 yards
D) 120 square feet

Answers

Answer:

D. 120 square feet

Step-by-step explanation:

12×10=120

120 square feet

Answer:

D) 120 square ft

Step-by-step explanation:

If he wants to know the area you just multiply 10 by 12 which is 120

what is 300cm x 3,000cm - 789

Answers

Answer:

899211cm

Step-by-step explanation:

Answer:

899211

Step-by-step explanation:

300x3000=900000

900000-789=899211

Solve m1 and m2 In the diagram

Please help me solve Im so confused

Answers

Answer:

m<1=117

m<2=99

Step-by-step explanation:

Answer:

Angle 1 is 117 degrees.

Angle 2 is 59 degrees.

Step-by-step explanation:

Let angle 1 be x, and angle 2 be y.

By the exterior angle theorem, x + 21 = 138, so x = 138 - 21 = 117.

Again, by the exterior angle theorem, 79 + y = x = 138, so y = 138 - 79 = 59.

an object has a mass of 3 g and a volume of 4 ml, what is it's density?​

Answers

Answer:

Step-by-step explanation:

Density is mass divided  by volume

d = 3/4 = 0.75 g/mL

Step-by-step explanation:

density=mass/volume=3/4 g/ml

Which of the following are rays shown in the drawing?
BE
AC
AB
DC

Answers

Answer:

what drawing

Step-by-step explanation:

When asked about their favorite
holiday, only 10% of the class picked
Valentines Day. How many student
picked Valentine's Day if there were 30
students?

Answers

i think 27 but i thought it would have been 3 but that wouldn’t make sense so 27 ig

Given m<2 = 55°, find the measure of each missing angle.

Answers

Answer:

1. m<1 = 125°

2. m<4 = 125°

3. m<6 = 55°

4. m<8 = 125°

Step-by-step explanation:

1. 180 - 55 = 125

2. 180 - 55 = 125

3. m<2 = m<6 , m<6 = 55°

4. m<4 = m<8 , m<8 = 125°

Please show your work in the answers. Please answer the 3 questions I put.

There are 30 pieces of candy in a bowl and 6 of them are Twix. What percentage of pieces of candy in the bowl are Twix?

Select the trip that will take 3 hours.
a. A train goes 60 miles per hour between Springfield and Boston, which is 180 miles away.
b. You bike to McDonald's at 10 miles per hour, which is 5 miles away.
c. You drive 80 miles per hour to New York City, which is 320 miles away.

A bird flies 40 miles, but it has only completed 80% of its trip. How far was the trip?​

Answers

Answer:

20%

a) a train goes 60 mph for 180 miles

50 miles

Step-by-step explanation:

6/30=.20 = 20%

180 miles divided by 60 mph=3 hours

80%x = 40 miles

.8x=40

.8x/.8=40/.8

x=50 miles

please help me factor these, show steps with x box if possible

Answers

Answer:

1. (x+5)(x+1)

x = -5

x = -1

2. (3x+2)(x-4)

x = -2/3

x = 4

3. 2(x-3)(x-2)

x = 3

x = 2

4. y(y+3)

y = 0

y = -3

Step-by-step explanation:

A store called Surfmania sells a $170 surfboard for 30% off. Another store, Coolwaves, advertises the same $170 surfboard for 10% off, but then offers to reduce that sale price by 20%. Which store has the better deal, and what is the savings compared to the other store? Surfmania, $3.40 in savings Surfmania, $3.40 in savings Surfmania, $5.60 in savings Surfmania, $5.60 in savings Coolwaves, $3.40 in savings Coolwaves, $3.40 in savings Final prices are the same. Final prices are the same.

Answers

Answer:

Surfmania, $3.40 in savings

Step-by-step explanation:

First, find the price with Surfmania:

170(0.7)

= 119

Find the price with Coolwaves now:

170(0.9)

= 153

153(0.8)

= 122.4

Now, find the amount in savings:

122.4 - 119

= 3.4

So, Surfmania has the better deal with $3.40 in savings.

9(1 + w) – 5w = 5
W=

Answers

Answer:

w= -1

Step-by-step explanation:

Use PEMDAS to solve.

9(1 + w) - 5w = 5

distribute 9 to everything inside the parentheses.

9 x 1 = 9

9 x w = 9w

rewrite equation

9 + 9w - 5w = 5

combine like terms

9w - 5w = 4w

rewrite equation

9 + 4w = 5

subtract 9 from both sides

9 - 9 = 0

5 - 9 = -4

rewrite equation

4w = -4

divide by 4 on both sides to get w by itself.

4w / 4 = w

-4 / 4 = -1

Hope This Helps :)

solve for X
(4x+7)
(2x+5)​

Answers

Answer:

x= 28

Step-by-step explanation:

combine the equations and set equal to 180, since a striaght line is 180 degrees. When combined you get, 6x + 12=180. Subtract, 180-12=168, then divide by 6 to get 28

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