Answer:
(A) The scatter plot is attached below.
(B) The outlier is at (189, 16°F).
(C) There is a negative correlation.
(D) The dependent variable is sales and independent variable is the temperature.
Step-by-step explanation:
The data provided for Hot chocolate sales and outside temperatures is as follows:
Sales (<em>Y</em>) Temperature (<em>X</em>)
100 92
213 88
830 54
679 62
209 85
189 16
1110 52
456 65
422 68
235 89
199 91
(A)
The scatter plot is attached below.
(B)
A cluster is a collection of points or values at one place.
On the scatter plot there is a cluster of three values between the temperatures 80°F to 100°F.
An outlier is a value that is very different from the other values in a data set. It is either too small or too large.
There is an outlier present in the provided data set.
The outlier is at (189, 16°F).
(C)
The point on the scatter plot are downwards sloping.
This implies that there is a negative relationship between the variables temperature and sales.
Thus, there is a negative correlation.
(D)
Dependent variables are those variables that are under study, i.e. they are being observed for any changes when the other variables in the model are changed.
Independent variables are the variables that are being altered to see a proportionate change in the dependent variable.
In this case the data represents the sales of hot chocolate according to the temperature outside.
So, the dependent variable is sales and independent variable is the temperature.
This is because as the temperature decreases the sales of hot chocolate increases.
Answer:
Step-by-step explanation:
Arithmetic sequence:
In an arithmetic sequence, the difference between consecutive terms is always the same, and is called common difference.
The nth term is given by the following equation:
In which is the first term and d is the common difference.
First term is 9 common difference is -2
This means that
So, the nth term is given by:
Answer:
<em>She need </em><em>72 </em><em>index cards.</em>
Step-by-step explanation:
Ms. James has a 6 square foot bulletin board and a 12 square food bulletin board and she wants to cover both boards with index cards without gaps or overlaps.
Each index card has an area of square foot.
Dividing the area of each board with the area of the index card will yield the the number of cards she needs to cover up completely.
Let us assume T₁ and T₂ are the number of cards she needs to cover 6 square feet food bulletin board and 12 square feet food bulletin board respectively. So
Therefore, in total she need 24+48=72 index cards.