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tangia
tangia
12.02.2021 • 
Mathematics

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? (2 points)

b) Using the drawing tools, draw a trend line (line of best fit) on the graph above. (2 points)

c) Judge the closeness of your trend line to the data points. Do you notice a relationship between the data points? (2 points)

d) Is the trend line linear? If so, write a linear equation that represents the trend line. Show your work. (3 points)

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. (2 points)

b) Find the equation of the trend line (line of best fit). Show your work. (2 points)

c) Predict the amount of tips that would be collected if 100 customers were served at the restaurant on a given day. Explain your reasoning. (2 points)

d) Explain how to use the regression calculator to make a reasonable prediction given a data table. (2 points)

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