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;  
- 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]](https://tex.z-dn.net/?f=%5Cbegin%7Btabular%7D%7B%7Cc%7Cc%7Cc%7Cc%7Cc%7Cc%7Cc%7Cc%7Cc%7C%7DCost%2C%20%28dollars%29%2C%20x%2620%2621%2622%2624%2625%2627%2628%2630%5C%5CDaily%20attendance%2C%20y%26940%26935%26940%26925%26920%26905%26910%26890%5Cend%7Barray%7D%5Cright%5D)
The equation of the line of best fit is given by the regression line 
equation as follows;
Where;
 = Predicted value of the<em> i</em>th observation
 = Predicted value of the<em> i</em>th observation
b₀ = Estimated regression equation intercept
b₁ = The estimate of the slope regression equation
 = The <em>i</em>th observed value
 = The <em>i</em>th observed value

 = 24.625
 = 24.625
 = 960.625
 = 960.625

 
 
Therefore;

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

By using MS Excel, we have;
n = 8
∑X = 197
∑Y = 7365
∑X² = 4939
∑Y² = 6782675
∑X·Y = 180930
(∑X)² = 38809
Therefore;

- The y-intercept given to the nearest tenth is b₀ ≈ 1,042
The equation of the line of best fit is therefore;
The correlation coefficient is given by the formula;

Where;


Which gives;

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
 
        
             
        
        
        
The answer is: 
 The explanation is shown below:
 1- You have the following expression given in the exercise:
 
 2- When you multiply signs, you obtain:
 
 3. Now, you must add like terms, as following: 
 
 4. Therefore, you have that the expression simplified is:
 
 
        
             
        
        
        
Answer:
5) x = 12 6) y = 3.5
Step-by-step explanation:
For number 6 that one may be right I tried several ways and kept getting that answer
5. is completely write though
Hope that helps
 
        
                    
             
        
        
        
100% of the price = $400
x % of the price = $320
we need to find x
using a proportion
100 : 400 = x : 320
100 * 320 = 400 * x
32000 = 400x
x = 32000 / 400
x = 80
That means the new price is 80% of the previous price.
100% - 80% = 20%
and based on this we can make a conclusion that the discount was 20%
I hope it is clear to you, feel free to ask anything about it :)