Write a linear equation that describes the problem.

The residual column is given by the difference between the given values

and the values from the fitted line.

Reasons:

The line of best fit equation is; y = 2.55·x - 3.15

The 4-column table is presented s follows;

[tex]\begin{tabular}{|c|c|c|c|}\underline{x}&\underline{Given}&\underline{Predicted}&\underline{Residual}\\1&-0.7&-0.6&-0.1\\2&2.3&1.95&0.35\\3&4.1&4.5&a\\4&7.2&7.02&b\end{array}\right][/tex]

Required:

The values of a and b

Solution;

The residual is given by the difference between actually observed value and the predicted value

RESID = [tex]\mathbf{y_i}[/tex] - [tex]\mathbf{x_i}[/tex]·b

Where;

[tex]y_i[/tex] = The given value at point i

[tex]x_i[/tex]·b = The predicted value at point i

Therefore;

At x = 1, the residual = -0.7 - (-0.6) = -0.1

At x = 2, the residual = 2.3 - 1.95 = 0.35

At x = 3, the residual = a = 4.1 - 4.5 = -0.4

Therefore;

At x = 4, the residual = b = 7.2 - 7.02 = 0.18

Therefore;

Learn more about line of best fit here:

https://brainly.com/question/1504320

Answer:

I believe the correct answer would be A: 3/5 = 60

Step-by-step explanation:

Firstly, the second option is wrong because 0.06 would be 6 hundredths, so that is wrong, the third option would be incorrect because 0.002 would equal 2 thousandths so that is also wrong, and the fourth option would be 25% instead of 75%, so your answer should be A.

Step-by-step explanation:

perimeter =

2(L+B)

=2× (7z+3 +3z+5)

2×10z +8

=20z+16

Answer:

1080

Step-by-step explanation:

in 135 calories there is 1/4 cup

? there is 2 cup

135×2=270 ÷1/4

270×4=1080 cups of trail mix

Answer:

draw a circle, and draw the degrees

Step-by-step explanation:

Answer: 51% were males

Which means that there were 1% more males than females = 34 more males than Females

Step-by-step explanation:

100%-49%=51%

51%-49%=1%

1700x49%=833 females

1700x51%=867 males

867 Males -833 Females = 34 more Males

Answer:

 S = kpq 280 = k(5)(7) 280 = 35k 8 = k

Answer:

12 photos fit on page = 1

432 photos fit on page = 432/12

= 36 pages

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Answer:

36 pages

Step-by-step explanation:

There are 12 photos per page, and Robert has 432 photos. So, we can divide the number of photos he has by the number of photos that fits on each page. By doing so, you'll calculate the number of pages he needs. This calculation is shown below:

[tex]\frac{432 \ photos}{1} *\frac{1 \ page}{12 \ photos} = 36 \ pages[/tex]

You can see that the units for photos cancel out, resulting in units for pages.

So, Robert will need 36 pages in order to fit all 432 photos into his photo album.

Answer:

-1

Step-by-step explanation:

m = y2 - y1 / x2 - x1

= 1 - 4 / 8 - 5

= -3 / 3

= -1

Answer: h < 7

Step-by-step explanation:

h + 3 < 10

h + 3 - 3 < 10 - 3

simplify:

h < 7

Answer:

alternate interior angles, alternate exterior angles, CORRESPONDING angles, VERTICAL angles

Step-by-step explanation:

The first two are correct but you mixed up the last two.

Corresponding angles have to be on parallel lines.

Vertical angles are opposite angles created by an intersecting line.

Hope this helps!!!

Answer:

They are congruent by HL

Step-by-step explanation:

Answer:

HL.

Step-by-step explanation:

2 right triangles.

Hypotenuse and 1 leg are congruent.

Answer:

13.5

Step-by-step explanation:

Answer:

A 20

Step-by-step explanation:

If you subtract 89.99 -68.25 you will equal 20

Answer:

1/2(10x+8)

Step-by-step explanation:

Combine like terms

13x+5x+(-8x) and -6+14

Answer:

33. 320 (D)

34. 5 (A)

Step-by-step explanation:

33.

(14+3+3) x (10+3+3)

17+3 x 13+3

17x16

320

34.

P(28)=x+x+(x+4)+(x+4)

28=4x+8

-8       -8

20=4x

/4   /4

5=x

Answer:

y=-3x+5

Step-by-step explanation:

it parallel to 3x+y+2=0 => line is: 3x+y+c=0

It through (3;-4) => 3(3)+(-4)+c=0 <=> c=-5

Line is 3x+y-5=0 => y=-3x+5

Answer:

Since it’s parallel to 3x+y+2=0 then it must be of the form 3x+y+k=0. Since (3,-4) is on the line we have 0=3*3-4+k=k+5, therefore k=-5 and the equation is 3x+y-5=0

In the form y=mx+c this becomes y=-3x+5

Answer:

846,838,805

Step-by-step explanation:

Add 846837947+858

Answer:

x = 6

Step-by-step explanation:

To get rid of the fraction at the left side of the equation, multiply both sides by 4

20x + 60 = 180 now subtract 60 from both sides

20x = 120 divide both sides by 20

x = 6

Answer:

If he pays with 2 Hundred Dollar Bills he will get $45.52 in change.

Explanation:

$70.96 + $83.52 = $154.48

2 Hundred Dollar Bills = $200.00

$200.00 - $154.48

Answer:

ok

Step-by-step explanation:

hold on

Answer:

8 and 2

Step-by-step explanation:

Answer:

1/4 and 1/2

Step-by-step explanation:

One number is twice another number.

x and 2x

The sum of their reciprocals is 6

[tex]\frac{1}{x}[/tex] + [tex]\frac{1}{2x}[/tex] = 6

Use common denominator of 2x

[tex]\frac{2}{2x}[/tex] +  [tex]\frac{1}{2x}[/tex] = 6

[tex]\frac{3}{2x}[/tex] = 6

multiply botn sides by 2x

3 = 12x

Divide both sides by 12

1/4 = x

x = 1/4

2x = 1/2

The numbers are

1/4 and 1/2

Answer: The answer is 55 more calories than jordan in the next session

Step-by-step explanation: So sorry, I am bad at explaining :(

Answer:

  760 calories

Step-by-step explanation:

Jordan's average is ...

  (850 +674 +729 +658 +614)/5 = 705

Then the total number of calories Ben needs to burn in 6 sessions is ...

  705×6 = 4230

So far, Ben has burned ...

  716 +635 +802 +687 +630 = 3470 . . . calories

So, in his next session, Ben must burn ...

  4230 -3470 = 760 . . . calories

To have the same average after 6 sessions that Jordan now has after 5 sessions, Ben must burn 760 calories in his 6th session.

Answer:

8961

Step-by-step explanation:

    3 0 9

×       2 9

____________________________

+   2 7 8 1

+   6 1 8  

____________________________

=  8 9 6 1

Answer: France

Step-by-step explanation:

I just answered the second one on your last published question , so I'm solve the first one :

[tex]2x - y \leqslant 5[/tex]

[tex]x + 2y > 2[/tex]

There are two ways to find the answer I just do it in one of them but let me know if u wanna know the other way .

I'm gonna use the options to see which ordered pair is true in both inequalities which is the answer we r looking for :

Option 1 : ( 1 , - 1 )

[tex]2(1) - ( - 1) \leqslant 5[/tex]

[tex]1 + 2( - 1) > 2[/tex]

So ,

[tex]3 \leqslant 5 \: \: \: \: \: true[/tex]

[tex] - 1 > 2 \: \: \: \: \: false[/tex]

So this is not the correct option ..

_____________________________________________

Option 2 : ( 4 , 1 )

[tex]2(4) - 1 \leqslant 5[/tex]

[tex]4 + 2(1) > 2[/tex]

So,

[tex]7 \leqslant 5 \: \: \: \: false[/tex]

[tex]6 > 2 \: \: \: \: true[/tex]

Nope ...

_____________________________________________

Option 3 : ( 2 , 0 )

[tex]2(2) - 0 \leqslant 5[/tex]

[tex]2 + 2(0) > 2[/tex]

So,

[tex]4 \leqslant 5 \: \: \: \: true[/tex]

[tex]2 > 2 \: \: \: \: \: false[/tex]

Nope....

_____________________________________________

The answer must be Option 4 bcuz there's no more options left but let's check it out :

Option 4 : ( 3 , 2 )

[tex]2(3) - 2 \leqslant 5[/tex]

[tex]3 + 2(2) > 2[/tex]

So,

[tex]4 \leqslant 5 \: \: \: \: \: true[/tex]

[tex]7 > 2 \: \: \: \: true[/tex]

There it is ....

Answer:?? I don't understand that sorry, I'm unhelpful

Step-by-step explanation:

Answer:

d = 4.5t

Step-by-step explanation:

Based on the table...

Francine covers:

9 miles in 2 hours

AND

18 miles in 4 hours

(You can use either one for this)

All you have to do is divide the [tex]\frac{miles}{hours}[/tex]....

So, we can set up the fraction [tex]\frac{9 miles}{2 hours}[/tex]

[tex]\frac{9}{2} =4.5[/tex] ...

So, knowing that 2 (time) · 4.5 = 9 (miles)...the answer would be

d(miles) = 4.5t (time)

So, the answer is d = 4.5t

Hope this helps!!!