The table shows the consumption C (in trillions of Btus) of...

The table shows the consumption $ C $ (in trillions of Btus) of solar energy and wind energy in the United States from $ 1998 $ through $ 2006 $.(Source: Energy Information Administration) (a) Use the regression feature of a graphing utility to find a cubic model for the solar energy consumption data and a quadratic model for the wind energy consumption data. Let $ t $ represent the year, with $ t = 8 $ corresponding to $ 1998 $. (b) Use a graphing utility to graph the data and the two models in the same viewing window. (c) Use the graph from part (b) to approximate the point of intersection of the graphs of the models.Interpret your answer in the context of the problem. (d) Describe the behavior of each model. Do you think the models can be used to predict consumption of solar energy and wind energy in the United States for future years? Explain. (e) Use your schools library, the Internet, or some other reference source to research the advantages and disadvantages of using renewable energy.

The table shows the consumption $ C $ (in trillions of Btus) of solar energy and wind energy in the United States from $ 1998 $ through $ 2006 $.(Source: Energy Information Administration)

(a) Use the regression feature of a graphing utility to find a cubic model for the solar energy consumption data and a quadratic model for the wind energy consumption data. Let $ t $ represent the year, with $ t = 8 $ corresponding to $ 1998 $.

(b) Use a graphing utility to graph the data and the two models in the same viewing window.

(c) Use the graph from part (b) to approximate the point of intersection of the graphs of the models.Interpret your answer in the context of the problem.

(d) Describe the behavior of each model. Do you think the models can be used to predict consumption of solar energy and wind energy in the United States for future years? Explain.

(e) Use your schools library, the Internet, or some other reference source to research the advantages and disadvantages of using renewable energy.

Transcript

00:01 All right, number 75 has a lot of moving parts.

00:03 So let's go ahead and there's a chart that shows a solar power and wind power consumption, right, and then some years.

00:10 And the first thing i asked us to do is to use the regression feature of our calculator and find a quadratic model for one and a cubic model for the other.

00:19 So read carefully and enter the information on your calculator.

00:22 I went ahead and did that and grafted already.

00:25 Just in case you don't remember how to do it in order to get the information in there, you go to the data matrix editor.

00:30 Right and you go ahead and type it in i did uh like they said specifically make 1998 t equals eight so that affects our model so um i went ahead and did that there's the next row there's the next row okay it's almost exactly like the chart in the book and then to do the regressions if you don't remember you hit f5 and you can go through here and say i want to do cubic regression or way down here i want to do quadratic regression and then you can store that in the y editor and that's exactly what i did so i'm going to escape from here escape from here and go back to my graph.

01:05 So those are the two functions.

01:07 There's a model and there's the data points all on there.

01:11 Oh, and in case you forget how to set up the data points on there, when you're in this editor right here, you can select how it's shown.

01:22 So you can say over here under plot setup, right? you're editing, i chose a box for the first one, then an x for the second one, and you can do all that under f1 define.

01:35 Okay, back to the graph.

01:39 So we're going to head did part a.

01:41 Let's go ahead and say checkmark did part a and part b.

01:50 Let's see.

01:51 Did that.

01:52 Yep, i just showed you check mark there.

01:53 We got those.

01:55 And then let's look at part c.

01:59 I like to keep my colleagues pretty straight.

02:06 Part c, use the graph to approximate the intersection.

02:10 Oh, this is fun to do on the calculator.

02:11 Okay.