Shanti wrote the predicted values for a data set using the line of best fit y = 2. 55x â€" 3. 15. She computed two of the residual values. A 4-column table with 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled given with entries negative 0. 7, 2. 3, 4. 1, 7. 2. The third column is labeled predicted with entries negative 0. 6, 1. 95, 4. 5, 7. 2. The fourth column is labeled residual with entries negative 1, 0. 35, a, b. What are the values of a and b? a = 0. 4 and b = â€"0. 15 a = â€"0. 4 and b = 0. 15 a = 8. 6 and b = 14. 25 a = â€"8. 6 and b = â€"14. 25.

Answers

Answer 1

The residual of a regression is the difference between the actual value and the predicted value

The values of (a) and (b) are -0.4 and 0, respectively.

The entries are given as:

x  Given  Predicted    Residual

1    -0.7         -0.6             -1

2   2.3         1.95            0.35

3   4.1           4.5              a

4   7.2          7.2              b

The residual of a line of best fit is calculated using:

[tex]Residual = Actual - Predicted[/tex]

Using the entry headings, the formula would be:

[tex]Residual = Given - Predicted[/tex]

To calculate the value of (a), we make use of entry (3).

So, we have:

[tex]a = 4.1- 4.5[/tex]

[tex]a = -0.4[/tex]

To calculate the value of (b), we make use of entry (4).

So, we have:

[tex]b = 7.2- 7.2[/tex]

[tex]b = 0[/tex]

Hence, the values of (a) and (b) are -0.4 and 0, respectively.

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Related Questions

9_9_9_9=111
what are the signs?

Answers

Answer:

Step-by-step explanation:

im not sure and what do u mean by signs

Answer:

multiplie maybe i dont know what you mean-

Step-by-step explanation:

What is 0.02349 written in standard form to 3 significant figures

Answers

[tex] \: \: [/tex]

b. 2.34 × 10 ^-2

0.0234 written as scientific notation is 2.349 × 10-2.

hope it helps

Answer:

b. 2.34 x 10 ^-2

Step-by-step explanation:

0.0234 written as scientific notation is 2.349 x 10-2

Right Triangle ABC has sides of length 5 units, 12 units and 13 units. The triangle is dilated by a scale factor of 3 around point B. What is the area of triangle A'B'C'?

Answers

Answer:

Step-by-step explanation:

Multiply each # by 3 so 15 36 39

(15x36)/2=270

I'm sorry if its wrong.

The area of the right-angle triangle A'B'C' will be 450 square units.

What is dilation?

Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered. There is no effect of dilation on the angle.

Right Triangle ABC has sides of length 5 units, 12 units, and 13 units. The triangle is expanded by a scale element of 3 around point B.

Then the dimension of the right triangle is given as,

A'B' = 3 x 5 = 15 units

B'C' = 12 x 5 = 60 units

A'C' = 13 x 5 = 65 units

The area of the right-angle triangle A'B'C' will be given as,

A = (1/2) x 15 x 60

A = 15 x 30

A = 450 square units

The region of the right-point triangle A'B'C' will be 450 square units.

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5 rubber stamps cost $9.70.
Which equation would help determine the cost of 11 rubber stamps?

Answers

Answer:

none of the above

Step-by-step explanation:

it should be: 9.70/5 = 11/x

Answer:

e

Step-by-step explanation:

After a series discount of 18/10, a GPS had a net cost of $252.45. What is the list price?
..EE
The list price of the GPS is $
(Round to the nearest cent as needed.)

Answers

Answer:

$237.50

Step-by-step explanation:

5/100=.05

250•.05=12.5

250-12.5=237.50

Using a stopwatch, Tyrone determines it takes him 58. 2 minutes to travel 30 miles to work. The stopwatch measures to hundredths of a minute. Going by the accuracy of the stopwatch, which is the most accurate determination for the number of feet per second Tyrone traveled on his way to work? 1 mile = 5,280 feet 19. 8 feet per second 19. 84 feet per second 45. 3 feet per second 45. 36 feet per second.

Answers

The most accurate determination for the number of 45.36 feet per second Tyrone traveled on his way to work.

Given that,

Using a stopwatch Tyrone determines it takes him 58.2 minutes to travel 30 miles to work the stopwatch measures to hundredths of a minute going by the accuracy of the stopwatch.

We have to determine,

Which is the most accurate determination for the number of feet per second Tyrone traveled on his way to work?

According to the question,

Tyrone determines it takes him 58.2 minutes to travel 30 miles to work,

the stopwatch measures to hundredths of a minute going by the accuracy of the stopwatch are determined by,

[tex]\rm Speed = \dfrac{Distance}{Time}[/tex]

Substitute the values in the equation,

[tex]\rm Speed = \dfrac{Distance}{Time}\\\\Speed = \dfrac{30}{58.2}\\\\Speed = \dfrac{50}{97} \ miles \ per \ minute[/tex]

If 1 mile = 5,280 feet, then his speed is,

[tex]\rm Speed = \dfrac{50}{97} \ miles \ per \ minute\\\\ Speed = \dfrac{50}{97} \times 5280 \\\\ Speed= \dfrac{26,400}{97}\ feet \ per \ minute\\[/tex]

And 1 minute = 60 seconds, then his speed is,

[tex]\rm Speed= \dfrac{26,400}{97}\ feet \ per \ minute\\\\ Speed= \dfrac{26,400}{97} \times \dfrac{1}{60} \\\\ Speed = \dfrac{4400}{97} \ feet \ per \ second \\\\ Speed = 45.36 \ feet \ per \ second[/tex]

Hence, The most accurate determination for the number of 45.36 feet per second Tyrone traveled on his way to work.

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What is the sum of -6 and 9?

Answers

Answer:

3

Step-by-step explanation:

-6+9=3

A scale drawing of a house shows a closet with floor dimensions of 4.4 cm by 3.2cm. The scale from the drawing to the actual closet is 2cm for every 1m. WhT is the actual area of the closets floor

Answers

The actual area of the closet floor would be 3.52m

The actual area of the closet floor is 3.52m.

What is a rectangle?

A Rectangle is a four sided-polygon, having all the internal angles equal to 90 degrees.

It has different lengths and widths.

We have,

Closet dimensions:

Length = 4.4 cm

Width = 3.2 cm

We need to convert the unit cm into meters.

We are given that,

2cm = 1m

Multiply 4.4/2 on both sides

4.4 cm = 4.4/2 x 1m

4.4 cm = 2.2 m

Length = 2.2m

Multiply 3.2/2 on both sides.

3.2 cm = 3.2/2 x 1m

3.2 cm = 1.6 m

Width = 1.6m

The actual area of the closet:

= length x width

= 2.2m x 1.6m

= 3.52m

Thus the actual area of the closet floor is 3.52m.

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Which inequality represents this sentence?

A number is no more than 57. I NEED A ANSWER ASAP WHOEVER GIVES CORRECT ANSWER GETS BRAINLIEST

Answers

Answer:

x < 57

Step-by-step explanation:

If the measure of central angle is 57 degrees, what is the measure of its intercepted arc? (just write the number, no degrees)

Answers

If a central angle measures 57 degrees, based on the angle-arc relationship, the measure of its intercepted arc = 57 degrees.

Recall:

The image attached below shows the relationship between the measure of the central angle and its intercepted arc. Measure of central angle = its intercepted arc.

Thus, if the measure of a central angle = 57 degrees, based on the angle-arc relationship, the measure of its intercepted arc will also be 57 degrees.

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maria's garden measures 14 feet by 16 feet and has a perimeter of 60 feet. Musharraf's garden measures 10 yards by 4 yards. What is the difference between the two perimeters?

Answers

The difference between the two perimeters is 32 yards.

Maria's garden measures 14 feet by 16 feet and has a perimeter of 60 feet.

Musharraf's garden measures 10 yards by 4 yards. The perimeter will be:

= 2(10 + 4)

= 2 × 14

= 28 yards

The difference will be:

= 60 - 28

= 32 yards.

8. Steve rode 18 miles on his bike in 2 hours. Which shows Steve's average rate expressed as
a unit rate? (6.RP.2)
a.
4 miles / hour
b. 9 miles / 1 hour
c. 18 miles /2 hours
d. 36 miles / 4 hours

Answers

Answer: It would be b.

Step-by-step explanation: A unit rate means a expression for 1. If you take the ratio 2:18 and change it to 1:X, you divide both sides by 2, and X is 9 meaning Steve travels 9 miles per hour.

Mrs. Eng bought 4 packs of glue sticks. Each pack has 5 glue sticks. Her class uses 2 of the glue sticks for a project. How many glue sticks are left?

Answers

Answer:

18 glue sticks are left.

Step-by-step explanation:

There are 5 glue sticks in each pack which means you multiply. 4*5=20. The class uses 2 glue sticks so 2 are removed. 20-2=18. i hope this helped !!! :) <3 !!

Find the equation of the line that passes through (1,-1) and is parallel to 2x+y−3=0

Leave your answer in the form y=mx+c

Answers

Answer:

y = - 2x + 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

2x + y - 3 = 0 ( subtract 2x - 3 from both sides )

y = - 2x + 3 ← in slope- intercept form

with slope m = - 2

Parallel lines have equal slopes, then

y = - 2x + c ← is the partial equation

To find c substitute (1, - 1 ) into the partial equation

- 1 = - 2 + c ⇒ c = - 1 + 2 = 1

y = - 2x + 1 ← equation of parallel line

3. Elena had 12 hours working at home daily as a full-time wife and mother. She
spent 12.5% of the time washing clothes. How many hours did she wash the
clothes?

Answers

Answer:

Elena spends 1.5 hours washing clothes.

Step-by-step explanation:

12.5 / 100 = 0.125

0.125 x 12 = 1.5

The answer is 8 hours

Write the equation of the line that passes through the points (2,6) and (-5,4)

Answers

Answer:

y=2/7 x+38/7

Step-by-step explanation:

equation of the line y =ax+b;

a = 4-6/ -5-2

Each side of the triangle is represented by an expression. Find the value of x is the triangle has a perimeter of 73.

Answers

Answer:

Step-by-step explanation:

The answer is 27

The value of x is 4.

What is the perimeter of a triangle?

The perimeter of a polygon is the total length of the boundary. For a triangle, we can find it by adding the lengths of its three sides. We can find the length of the fencing required for a triangular park by finding the perimeter of the triangle.

The triangle has a perimeter of 73.

[tex]7x-2+3x+9+8x-6=73\\18x+1=73\\18x=72\\x=4[/tex]

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Simplify fully
A)
X^7 / X^3


B)
Y^5 / Y^4

Answers

Hi,

[tex]\frac{x^{a} }{x^{b} } =x^{a-b}[/tex]

a)

[tex]\frac{x^{7} }{x^{3} }= x^{7-3} = x^{4}[/tex]

b)

[tex]\frac{y^{5} }{y^{4} } = y^{5-4} = y^{1} = y[/tex]

;)

Please help me..........

Answers

Answer:

A. Angle E = 30° and angle D = 60°

Step-by-step explanation:

tan(E) = Opposite/Adjacent

tan(E) = 5/8.66

E = tan^-1(5/8.66)

E = 30°

There's 180° in a triangle, and this is a right triangle.

30 + 90 + x = 180

120 + x = 180

x = 180 - 120

x = 60

D = 60°

I need help with this without links

Answers

Answer:

36°

Step-by-step explanation:

I used an online protractor to solve it

What is 7x + 15 = 9x + 15 - 2x + 1 and how many solutions are there

Answers

Answer:

no solutions

Step-by-step explanation:

7x + 15 = 9x + 15 - 2x + 1

Combine like terms

7x+15 = 7x+16

Subtract 7x from each side

7x+15-7x = 7x+16-7x

15 =16

This is not a true statement so there are no solutions

Jill said Eight times my age 3 years ago equals
104 How old is Jill now?

Answers

Answer:

13 yrs old

Step-by-step explanation:

104/8=13

Answer:

14 years ago

Step-by-step explanation:

birthday January 16

Which equation is equivalent to the formula m = ca? a = cm a equals m over c c = am c equals a over m.

Answers

Answer:

a = m/c

Step-by-step explanation:

I translated the paragraph into these options.  Please check accuracy.

m = ca?

a = cm   No,  a = m/c

a = m/c Yes

c = am   No,  c = m/a

c = a/m  No,  c = m/a

The option b which is [tex]a=\dfrac{m}{c}[/tex] is correct answer.

Given to us:

[tex]m=ca[/tex]

dividing both sides by c, we get

[tex]m=ca\\\\\dfrac{m}{c}=\dfrac{ca}{c}[/tex]

canceling c from right hand side, we get

[tex]\dfrac{m}{c}=a \\\\a=\dfrac{m}{c}[/tex]

Therefore, the option b which is [tex]a=\dfrac{m}{c}[/tex] is correct answer.

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Define a variable and write an expression for the phrase. 7 less than a number

Answers

Answer:

Step-by-step explanation:

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

Which expression is equivalent to 10 ( – 5 x + 3) – 2x

Answers

Step-by-step explanation:

well, we just do the multiplication and simplify by combining terms with the same base :

10(-5x + 3) - 2x = -50x + 30 - 2x = -52x + 30

Answer:-52x + 30 is the evaluated expression.Step-by-step explanation:10(-5x + 3) - 2x=> -50x + 30 - 2x=> -52x + 30Conclusion:

Hence, -52x + 30 is the evaluated expression.

Hoped this helped.

Write the percent as a fraction or mixed number in simplest form. 72.5

Answers

Answer: 72 1/2 or 725/10 as mixed number

Step-by-step explanation:

Answer:

72.5/100

Step-by-step explanation: Write down the percent divided by 100, then multiply both top and bottom by 10 after the decimal point, after you multiplied you will get 752/10 then simplify which the simplest form is 145/2 you with then have an improper fraction and it will be 72 1/2

I don’t understand someone please give me answer

Answers

Repeating decimals are given when you divide by 9. Since you want 0.32 to repeat, you need to divide the numerator of the fraction of 0.32 (32/100) by 99. The fraction is then 32/99, which on a calculator will give you 0.32323232……. brainliest pls

Solving quadratic formulas
8y²-30y+27=2

Answers

Y=5/2, 5/4 your welcome

n a class of 40 students, 15% of the students were absent on a particular day.
How many students were absent on that day?

Answers

Answer:

6

Step-by-step explanation:

15% of 40 is 6.

So 6 was absent.

Out of 40 students total 6 students were absent on the particular day.

What is percentage?

Percentage is a measurement to find value of given number out of hundred.

Given that,

Total number of students in a class = 40.

Also, 15% of the total students were absent on a fixed day.

To find the number of students who were absent,

Use percentage property,

Absent students = 40 x 15%

= 40 x 15/ 100

= 600 / 100

= 6

Total number of 6 students were absent on that day.

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Marcy has $1600 to invest at 8% annual interest compounded monthly. how long will it take her investment to grow to $2400?

Answers

It will take about 5 years for her investment to grow to $2400.

The formula for calculating the compound amount is expressed according to the equation;

[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]

A is the amount after t years = $2400P is the amount invested = $1600r is the rate = 8% = 0.08t is the time in yearsn is the compounding time = 12 (monthly)

Substitute the given parameters into the formula to have:

[tex]2400=1600(1+\frac{0.08}{12} )^{12t}\\1.5=(1+0.00667)^{12t}\\[/tex]

Take the natural logarithm of both sides

[tex]ln(1.5)=12tln(1.00667)\\12t=\frac{ln(1.5)}{ln(1.00667)}\\t = \frac{0.4054}{0.07977}\\t= 5.082years[/tex]

Hence it will take about 5 years for her investment to grow to $2400

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