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
Lemur [1.5K]
3 years ago
11

Please Helpppppppp with this question

Mathematics
1 answer:
Slav-nsk [51]3 years ago
6 0

Answer: pls. mark as Brainlyist I needz Points PLZ!

Step-by-step explanation:

You might be interested in
#10 i The table shows the admission costs (in dollars) and the average number of daily visitors at an amusement park each the pa
lions [1.4K]

The line of best fit is a straight line that can be used to predict the

average daily attendance for a given admission cost.

Correct responses:

  • The equation of best fit is; \underline{ \hat Y = 1,042 - 4.9 \cdot X_i}
  • The correlation coefficient is; r ≈<u> -0.969</u>

<h3>Methods by which the line of best fit is found</h3>

The given data is presented in the following tabular format;

\begin{tabular}{|c|c|c|c|c|c|c|c|c|}Cost, (dollars), x&20&21&22&24&25&27&28&30\\Daily attendance, y&940&935&940&925&920&905&910&890\end{array}\right]

The equation of the line of best fit is given by the regression line

equation as follows;

  • \hat Y = \mathbf{b_0 + b_1 \cdot X_i}

Where;

\hat Y = Predicted value of the<em> i</em>th observation

b₀ = Estimated regression equation intercept

b₁ = The estimate of the slope regression equation

X_i = The <em>i</em>th observed value

b_1 = \mathbf{\dfrac{\sum (X - \overline X) \cdot (Y - \overline Y) }{\sum \left(X - \overline X \right)^2}}

\overline X = 24.625

\overline Y = 960.625

\mathbf{\sum(X - \overline X) \cdot (Y - \overline Y)} = -433.125

\mathbf{\sum(X - \overline X)^2} = 87.875

Therefore;

b_1 = \mathbf{\dfrac{-433.125}{87.875}} \approx -4.9289

Therefore;

  • The slope given to the nearest tenth is b₁ ≈ -4.9

b_0 = \mathbf{\dfrac{\left(\sum Y \right) \cdot \left(\sum X^2 \right) - \left(\sum X \right) \cdot \left(\sum X \cdot Y\right)} {n \cdot \left(\sum X^2\right) - \left(\sum X \right)^2}}

By using MS Excel, we have;

n = 8

∑X = 197

∑Y = 7365

∑X² = 4939

∑Y² = 6782675

∑X·Y = 180930

(∑X)² = 38809

Therefore;

b_0 = \dfrac{7365 \times 4939-197 \times 180930}{8 \times 4939 - 38809} \approx \mathbf{1041.9986}

  • The y-intercept given to the nearest tenth is b₀ ≈ 1,042

The equation of the line of best fit is therefore;

  • \underline{\hat Y = 1042 - 4.9 \cdot X_i}

The correlation coefficient is given by the formula;

\displaystyle r = \mathbf{\dfrac{\sum \left(X_i - \overline X) \cdot \left(Y - \overline Y \right)}{ \sqrt{\sum \left(X_i - \overline X \right)^2 \cdot \sum \left(Y_i - \overline Y \right)^2} }}

Where;

\sqrt{\sum \left(X - \overline X \right)^2 \times \sum \left(Y - \overline Y \right)^2}  = \mathbf{446.8121}

\sum \left(X_i - \overline X \right) \times \left(Y - \overline Y\right) = \mathbf{-433.125}

Which gives;

r = \dfrac{-433.125}{446.8121}  \approx \mathbf{-0.969367213}

The correlation coefficient given to the nearest thousandth is therefore;

  • <u>Correlation coefficient, r ≈ -0.969</u>

Learn more about regression analysis here:

brainly.com/question/14279500

7 0
2 years ago
Hi, so i have a question and i'm giving away free points so here's the question! If you answer ill put out another question and
Shtirlitz [24]

Answer:

1. Saturday

2(a) 10,944

2(b) 32700

3. (16,24)

Step-by-step explanation:

8 0
3 years ago
Teri ran 8 kilometers
viva [34]

Answer:

teri is tired

Step-by-step explanation:

from running

7 0
3 years ago
What is 0.7 (The 7 is repeating) expressed as a fraction in simplest form?
timofeeve [1]

the answer was c

hope that helps your!!!!!

5 0
3 years ago
Read 2 more answers
Can anyone help me ASAP!
TiliK225 [7]

Answer:

17.3 in

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Other questions:
  • Which set is a function?
    15·1 answer
  • Please give me an answer
    8·2 answers
  • Emilce pide 5 platos por semana para almorzar en la oficina. El menú ofrece 5 opciones diferentes. De cuantas maneras puede real
    8·1 answer
  • 6 + 5/9 what is the answer
    12·1 answer
  • Area between two shapes. IXL Geometry help pls and will mark brainiest answer !
    15·2 answers
  • Expresa en unidades las siguientes cantidades: cinco decenas cuarenta decenas de mil siete centenas de mil veintitrés unidades d
    7·1 answer
  • Answer my question and ill give u brainliest also gimme reason AND NO SPAMS
    5·2 answers
  • Urgent! Math! Can somebody answer 1-3 for me, pls!
    13·1 answer
  • How many ways can you make the number 2? (Using consecutive numbers)
    10·2 answers
  • Please I need help Asap!
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!