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
Vikentia [17]
3 years ago
14

Using the data below, what is the equation for the line of best fit? Remember, put your answer in y = ax + b form and round any

decimals to three places.
Patient Calories Wt. loss/week lbs.
1 1500 2
2 1200 3
3 1800 1
4 2100 .5
5 2400 .75
6 1800 1
7 1200 5
8 2100 1
9 2400 .5
10 1500 2
Mathematics
1 answer:
ratelena [41]3 years ago
5 0
If we fit the data as calories as a function of wt loss/week, we need to arrange the data first from lowest to highest wt loss/week lbs and calories. Then, the set of points can be plotted in a graph and a graphical method of line fitting can be used. Curve fitting programs (which are also in the calculator) can be used. The result is:
y = -266.5741x + 2246.5116

The value of R² is 0.7109. The fit is not very good since R² is quite far from 0.99.
You might be interested in
Item 10 At 1:00 P.M., you have 24 megabytes of a movie. At 1:15 P.M., you have 96 megabytes. What is the download rate in megaby
alex41 [277]

Answer:

4.8 megabytes / minute.

Step-by-step explanation:

At the beginning of recording the download you have 24 megabytes.

15 minutes later, you have 96 megabytes.

In 15 minutes you have downloaded 96 - 24 = 72 megabytes

So the question turns out to be  a proportion of

x megabytes / 1 minute = 72 megabytes / 15 minutes.

x = 72/15

x = 4.8 megabytes / minute

3 0
3 years ago
A dance school allows a maximum of 15 students per class of 112 students signing up for class how many classes does the school n
STALIN [3.7K]
The school needs to offer 8 classes
7 0
3 years ago
Read 2 more answers
ABCD is a parallelogram.
jolli1 [7]

Answer:

25

Step-by-step explanation:

180-90-65 = 25

Opposite angles are same

7 0
3 years ago
What is the equation written in vertex from of a parabola with a vertex of (4, –2) that passes through (2, –14)?
vichka [17]

Answer:

y = -3(x - 4)² - 2

Step-by-step explanation:

Given the vertex, (4, -2), and the point (2, -14):

We can use the vertex form of the quadratic equation:

y = a(x - h)² + k

Where:

(h, k) = vertex

a  =  determines whether the graph opens up or down, and it also makes the parent function <u>wider</u> or <u>narrower</u>.

  • <u>positive</u> value of a = opens <u><em>upward</em></u>
  • <u>negative</u> value of a = opens <u><em>downward</em></u>
  • a is between 0 and 1, (0 < a < 1) the graph is <u><em>wider</em></u> than the parent function.
  • a > 1, the graph is <u><em>narrower</em></u> than the parent function.

<em>h </em>=<em> </em>determines how far left or right the parent function is translated.

  • h = positive, the function is translated <em>h</em> units to the right.
  • h = negative, the function is translated |<em>h</em>| units to the left.

<em>k</em> determines how far up or down the parent function is translated.

  • k = positive: translate <em>k</em> units <u><em>up</em></u>.
  • k = negative, translate <em>k</em> units <u><em>down</em></u>.

Now that I've set up the definitions for each variable of the vertex form, we can determine the quadratic equation using the given vertex and the point:

vertex (h, k): (4, -2)

point (x, y): (2, -14)

Substitute these values into the vertex form to solve for a:

y = a(x - h)² + k

-14 = a(2 - 4)²  -2

-14 = a (-2)² -2

-14 = a4 + -2

Add to to both sides:

-14 + 2 = a4 + -2 + 2

-12 = 4a

Divide both sides by 4 to solve for a:

-12/4 = 4a/4

-3 = a

Therefore, the quadratic equation inI vertex form is:

y = -3(x - 4)² - 2

The parabola is downward-facing, and is vertically compressed by a factor of -3. The graph is also horizontally translated 4 units to the right, and vertically translated 2 units down.

Attached is a screenshot of the graph where it shows the vertex and the given point, using the vertex form that I came up with.

Please mark my answers as the Brainliest, if you find this helpful :)

8 0
2 years ago
Camilla has four more books when Jane has Camilla has 15 books how many books does Jane have
STatiana [176]

Answer:

Jane has 11 books

Step-by-step explanation:

If Camilla has 15 and she has 4 more than Jane just subtract 15 - 4 = 11

5 0
3 years ago
Other questions:
  • 3 friends share 7 cookies equally how much cookies does each friend get
    12·2 answers
  • Let f(x)=15/(1+4e^(-0.2x)
    14·1 answer
  • Find the sum and express it in simplest form (8a^2 + 6a + 5) + (-3a^2 - 2a)
    12·2 answers
  • What is the value of x in the equation 2x + 3y = 36, when y = 6?
    7·2 answers
  • Which function represents exponential decay?
    5·1 answer
  • -Translate this phrase into an algebraic expression.
    7·1 answer
  • Help me pleaseeeeeeeeeeeeeeee
    13·2 answers
  • Find the area of the shaded region. Round your answer to the nearest tenth.
    12·1 answer
  • Find the additive inverse of 7/10
    14·1 answer
  • SOLVE EACH PROBLEM: 1. Edwin pays tax at the rate of 25% of his income. What fraction of Edwin’s income is this? 2. Vida correct
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!