The equation for the best fit line is y=5.2x+18. It says if the observed value when x=10 was y=62, then which of the following represents the value of the residual for this point. The options are 52, 8,-8,&-10. i need help please!!

Answers

Answer 1

Answer:

The residual value is -8

What is a residual value?

A residual value is the difference between the observed y-value and the predicted y-value( from the regression equation ) .

Here, the given regression equation of the line,

y = 5.2 x +18

Thus, for x = 10, the predicted value of

y = (5.2 × 10) +18

y = 52 + 18

y = 70

Now, by the given question,

For x = 10, the observed value of y = 62,

Hence, the residual for 10 = Observed value of y for 10 - Predicted value of y for 10

= 62 - 70

= -8

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Answer 2

Answer:

Answer:

The residual for 5 is -1.6

Step-by-step explanation: Hope this helps. Name me brainliest please.

A residual value is the difference between the observed y-value and the predicted y-value( from the regression equation ) .

Here, the given regression equation of the line,

y = 5.2 x - 0.4

Thus, for x = 5, the predicted value of y = 5.2 × 5 - 0.4 = 26.0 - 0.4 = 25.6,

Now, by the given table,

For x = 5, the observed value of y = 24,

Hence, the residual for 5 = Observed value of y for 5 - Predicted value of y for 5

= 24 - 25.6 = - 1.6

⇒ First option is correct.

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Given the function h(x) = 3(2)x, Section A is from x = 1 to x = 2 and Section B is from x = 3 to x = 4.Part A: Find the average rate of change of each section. (4 points)

Part B: How many times greater is the average rate of change of Section B than Section A? Explain why one rate of change is greater than the other. (6 points)

(10 points)

Answers

Answer:

Part A) The average rate of change of section A is 6 and the average rate of change of section B is 24

Part B) The average rate of change of Section B is 4 times greater than the average rate of change of Section A. see the explanation

Step-by-step explanation:

Part A) Find the average rate of change of each section

we know that

To find the average rate of change, we divide the change in the output value by the change in the input value

the average rate of change is equal to

$(f(b)-f(a))/(b-a)$

In this problem we have

Section A

$a=1$

$b=2$

$f(a)=f(1)=3(2)^1=6$

$f(b)=f(2)=3(2)^2=12$

Substitute

$(12-6)/(2-1)=6$

Section B

$a=3$

$b=4$

$f(a)=f(3)=3(2)^3=24$

$f(b)=f(4)=3(2)^4=48$

Substitute

$(48-24)/(4-3)=24$

Part B) How many times greater is the average rate of change of Section B than Section A? Explain why one rate of change is greater than the other

Divide the average rate of change section B by the average rate of change of Section B

$(Section\ B)/(Section\ A)=(24)/(6)$

$(Section\ B)/(Section\ A)=4$

$Section\ B=(4)*Section\ A$

The average rate of change of Section B is 4 times greater than the average rate of change of Section A.

One rate of change is greater than the other, because it is an exponential function and the slope grows bigger.

What is the value of the fourth term in a geometric sequence for which a=15 and r= 1/3

Answers

Answer:

Step-by-step explanation:

hello :

the n-ieme term is : An=A1×r^(n-1)

A1 the first term r : the common ratio

in this exercice : A1 =15 r = 1/3 n = 4

A4=15×(1/3)^(4) =15×4^4 =3840

Erica used friendly numbers to find 43-19 she added 1 to 19 and subtracted 1 from 43 what is Erica's error

Answers

42-20=22 thats the answer i belive u were looking for.

I really need help on #51

Answers

that's what I did and since the zeros would be -5 and 3 the answer would be 3 since it can't be a negative

Tina equally shares 8 cookies among herself and her 4 friends. which fraction shows how many cookies each person getsPLZ ASAP

Answers

Answer: 1 3/5

Step-by-step explanation:

if you have 8 cookies and want to share it with 5 total people you divide it so 8/5 is 1.6

Which relationship exists between the two angles? What is the value of x? Find the measure of each angle. A) vertical angles; x = 3; 76 degrees; 76 degrees B) alternate exterior angles; x = 5; 116 degrees; 64 degrees C) corresponding angles: x = 7; 156 degrees; 156 degrees D) alternate exterior angles; x = 5; 116 degrees; 116 degrees Eliminate