100 points You keep track of the daily hot chocolate sales and the outside temperature each day. The data you gathered is shown in the data table below.
Hot Chocolate Sales and Outside Temperatures
Sales ($)
$100
$213
$830
$679
$209
$189
$1,110
$456
$422
$235
$199
Temperature (°F)
92°
88°
54°
62°
85°
16°
52°
65°
68°
89°
91°

a) Make a scatterplot of the data above.
b) Do you notice clusters or outliers in the data? Explain your reasoning.
c) How would you describe the correlation in the data? Explain your reasoning.
d) What are the independent and dependent variables?
Step 2: Evaluating trends of data
Because you want to prepare and serve the healthiest food possible, you monitor the fat and calorie content of items on your menu. Some of the menu items are included in the graph below.
a) Your business partner describes this as a high positive correlation. Is your partner correct? Why or why not
b) Using the drawing tools, draw a trend line (line of best fit) on the graph above.
c) Judge the closeness of your trend line to the data points. Do you notice a relationship between the data points?
d) Is the trend line linear? If so, write a linear equation that represents the trend line. Show your work.
Step 3: Making predictions using data
You and your business partner track the number of customers served and the amount of tips collected per day. The data you gathered is displayed in the chart below.
Servers’ Collected Tips
Customers
54
46
34
67
52
22
49
64
55
80
38
42
Tips ($)
$92
$80
$76
$121
$109
$43
$87
$114
$99
$174
$88
$91

a) Create a scatterplot displaying the data in the table. Be sure to include a linear trend line.
b) Find the equation of the trend line (line of best fit). Show your work.
c) Predict the amount of tips that would be collected if 100 customers were served at the restaurant on a given day.
d) Explain how to use the regression calculator to make a reasonable prediction given a data table.

(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 (Y)  Temperature (X)

 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.

step-by-step explanation:

a child is 12 years old, and his father is 32 years older. in how many years will the age of the father be 2 times the age of the child?

******************

this needs to be the answer format, or else your answer is incomplete.

if the number of years is x, then the equation is

in __ years

the answer is d

for problems like this theres an app, its photomath that explains the problem and gives the answer hope i