Chapter PII, Problem 33RE

To determine

To create and interpret a model for the toddlers’ lunchtime data presented in chapter $7$ .

Answer to Problem 33RE

The linear model is .

Explanation of Solution

It is given in the question the table and graph show the number of minutes the kids stayed at the table and the number of calories they consumed. Thus, the table is:

Time	Calories
21.4	472
30.8	498
37.7	465
33.5	456
32.8	423
39.5	437
22.8	508
34.1	431
33.9	479
43.8	454
42.4	450
43.1	410
29.2	504
31.3	437
28.6	489
32.9	436
30.6	480
35.1	439
33	444
43.7	408

Thus, for constructing a linear model we will use Excel as we will first select the data in Excel and then go to the insert tab from where we will select the scatterplot option in the charts and when the scatterplot is constructed we will go to the design tab under the chart tools, from where we will select the quick layout option and select the layout with the equation option then the linear model is constructed in the scatterplot as:

  

Thus, the linear model is as:

  

Thus, we interpret the slope of the model that every minute spent at the table $3.0771$ less calories were consumed. And the y -intercept cannot be used in this context because we cannot spend zero minutes at the table and still eat.