The student will calculate and construct the line of best fit between two variables.

The student will evaluate the relationship between two variables to determine if that relationship is significant.

Collect the data

Use the most recent April issue of Consumer Reports. It will give the total fuel efficiency (in miles per gallon) and weight (in pounds) of new model cars with automatic transmissions. We will use this data to determine the relationship, if any, between the fuel efficiency of a car and its weight.

Using your random number generator, randomly select 20 cars from the list and record their
weights and fuel efficiency into
[link] .

Weight

Fuel Efficiency

Which variable should be the dependent variable and which should be the independent
variable? Why?

By hand, do a scatterplot of “weight” vs. “fuel efficiency”. Plot the points on graph paper.
Label both axes with words. Scale both axes accurately.

Analyze the data

Enter your data into your calculator or computer. Write the linear equation, rounding to 4 decimal places.

Calculate the following:

a = ______

b = ______

correlation = ______

n = ______

equation:
ŷ = ______

Obtain the graph of the regression line on your calculator. Sketch the regression line on the
same axes as your scatter plot.

Discussion questions

Is the correlation significant? Explain how you determined this in complete sentences.

Is the relationship a positive one or a negative one? Explain how you can tell and what
this means in terms of weight and fuel efficiency.

In one or two complete sentences, what is the practical interpretation of the slope of the least
squares line in terms of fuel efficiency and weight?

For a car that weighs 4,000 pounds, predict its fuel efficiency. Include units.

Can we predict the fuel efficiency of a car that weighs 10,000 pounds using the least
squares line? Explain why or why not.

Answer each question in complete sentences.

Does the line seem to fit the data? Why or why not?

What does the correlation imply about the relationship between fuel efficiency and
weight of a car? Is this what you expected?

Are there any outliers? If so, which point is an outlier?

Do u think that Graphene and Fullrene fiber can be used to make Air Plane body structure the lightest and strongest.
Rafiq

Rafiq

what is differents between GO and RGO?

Mahi

what is simplest way to understand the applications of nano robots used to detect the cancer affected cell of human body.?
How this robot is carried to required site of body cell.?
what will be the carrier material and how can be detected that correct delivery of drug is done
Rafiq

Rafiq

if virus is killing to make ARTIFICIAL DNA OF GRAPHENE FOR KILLED THE VIRUS .THIS IS OUR ASSUMPTION

Anam

analytical skills graphene is prepared to kill any type viruses .

The nanotechnology is as new science, to scale nanometric

brayan

nanotechnology is the study, desing, synthesis, manipulation and application of materials and functional systems through control of matter at nanoscale

Damian

Is there any normative that regulates the use of silver nanoparticles?