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
pantera1 [17]
3 years ago
7

A scatter plot is shown with the title Jordans Hot Chocolate Sales. The x axis is labeled High Temperature and the y axis is lab

eled Cups of Hot Chocolate Sold. Data points are located at 20 and 20, 30 and 18, 40 and 20, 35 and 15, 50 and 20, 45 and 20, 60 and 14, 65 and 18, 80 and 10, 70 and 8, 40 and 2.
Mathematics
1 answer:
Anastasy [175]3 years ago
3 0

Answer:

First Part;

As the temperature in the city increases, the number of cups of hot chocolate sold decreases

Second Part;

The approximate value of the slope in number of cups sold per change in temperature is -0.12222

The approximate value of the y-intercept is 20.944 degrees temperature

Step-by-step explanation:

<em>Question;</em>

<em>First Part</em>

<em>What is the relationship between temperature in the city and the number of cups of hot chocolate sold, using your own words</em>

<em>Second Part</em>

<em>How can the line of best fit be made. Give the approximate values of the slope and the y-intercept of the line of best fit</em>

Explanation

The data points are presented in the following table;

\begin{array}{lcl}x&&y\\20&&20\\30&&18\\40&&20\\35&&15\\50&&20\\45&&20\\60&&14\\65&&18\\80&&10\\70&&8\\40&&2\end{array}

A scatter plot is formed from the given data using MS Excel

First part;

From the values of the number of cups sold, <em>y</em>, and the temperature at which they are sold, <em>x</em>, there is correlation between the <em>x</em> and <em>y</em> values, such that as the temperature increases, the number of cups sold decreases, the becomes more rapid as the temperature increases past 50, such that the reason for taking the hot chocolate decreases with increasing temperature

Second Part;

The line of best fit can be found using the least squares regression formula to draw a straight line from the regression equation as follows;

y = a + b·x

b = \dfrac{\sum \left(x_i - \bar x\right) \times \left(y_i - \bar y\right) }{\sum \left(x_i - \bar x\right )^2 }

a = \bar y - b·\bar x

Where;

b = The slope

a = The y-intercept

From MS Excel, we have;

\bar y = 15, \bar x = 48.63636

\sum \left(x_i - \bar x\right) \times \left(y_i - \bar y\right) = -410

\sum \left(x_i - \bar x\right )^2 = 3354.545

Therefore;

b = \dfrac{-410}{3354.545} = -0.12222

The approximate value of the slope, b = -0.12222 (number of cups sold per unit change in temperature)

a = 15 - (-0.12222)×48.63636 ≈ 20.944

The approximate value of the y-intercept, a = 20.944 (in degrees of temperature).

You might be interested in
Which equation can replace 3x + 5y = 59 in the original system and still produce the same solution?
mafiozo [28]

Answer:

13x = 39

x=3

y=10

5 0
2 years ago
How many numbers lie between the squares of 39 and 40
Amiraneli [1.4K]

Answer:

i guess its 1...

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Classify the following polynomials by the number of terms and degrees<br> -2x^3 +5x
cestrela7 [59]

Answer:

A third degree binomial

Step-by-step explanation:

The highest power is 3 hence the 3rd degree

and there are 2 terms hence the bi-nomial

8 0
3 years ago
Slope: ( -1, 5 ) and ( 2, -3 ).
velikii [3]

Slope of a line passing through these two points is \frac{-3-5}{2-(-1)}=-\frac{8}{3}.

Hope this helps.

6 0
3 years ago
Read 2 more answers
Mari spends $6 on cheese for a party she also plans to buy b boxes of crackers that cost $3 per box
PSYCHO15rus [73]

Answer:

The answer is 6+3b<or equal to 15

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • 23 20' 48" is the same as _____. Round to the nearest hundredth of a degree.
    12·1 answer
  • Work out the answers to these<br> questions<br> 47+ 6.2 +86.7<br> 79.88+59+4.55
    11·1 answer
  • 6 (3x-1)-10x if x=7 with work please :)
    9·2 answers
  • I WILL MARK BRAINLIEST!!!
    9·2 answers
  • Ravi needs to buy some pencils. Brand A has 36 pencils for $8.52. Brand B has a pack of 48 pencils for $9.98. Find the unit pric
    7·1 answer
  • Put this on a number line 6-2s&gt;20 and solve for s
    12·1 answer
  • 100 points if you answer all these questions
    6·2 answers
  • Students were asked to choose their favorite sport
    7·1 answer
  • your village community group is putting a new fence around the park .you offer to help and measure the distance around the park
    11·1 answer
  • Determine the equation of the circle graphed below.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!