Student Learning Outcomes . Calculate and construct the line of best fit between two variables. Evaluate the relationship between two variables. Collect the Data 1. 19 new vehicles were randomly selected. Their weight in pounds and fuel efficiency in miles per gallon were recorded in the following table: Weight (lbs) Fuel Efficiency (mpg) 2620 21.0 21.0 22.8 21.4 18.7 18.1 14.3 24.4 2875 2320 3215 3440 3460 3570 3190 3150 3440 3440 4070 3730 3780 5250 5424 5345 2200 1615 Table 12.11 22.8 19.2 17.8 16.4 17.3 15.2 10.4 10.4 14.7 32.4 33.9 2. Which variable should be the dependent variable, and which should be the independent variable? Why? 3. Construct a scatterplot of weight versus fuel efficiency. Plot the points. Label and scale the axes. Analyze the Data Enter the data into your calculator. Write the linear equation, rounding to 4 decimal places. 1. Calculate the following: a= a. b. b = C. r = d. n = e. 9 =
Student Learning Outcomes . Calculate and construct the line of best fit between two variables. Evaluate the relationship between two variables. Collect the Data 1. 19 new vehicles were randomly selected. Their weight in pounds and fuel efficiency in miles per gallon were recorded in the following table: Weight (lbs) Fuel Efficiency (mpg) 2620 21.0 21.0 22.8 21.4 18.7 18.1 14.3 24.4 2875 2320 3215 3440 3460 3570 3190 3150 3440 3440 4070 3730 3780 5250 5424 5345 2200 1615 Table 12.11 22.8 19.2 17.8 16.4 17.3 15.2 10.4 10.4 14.7 32.4 33.9 2. Which variable should be the dependent variable, and which should be the independent variable? Why? 3. Construct a scatterplot of weight versus fuel efficiency. Plot the points. Label and scale the axes. Analyze the Data Enter the data into your calculator. Write the linear equation, rounding to 4 decimal places. 1. Calculate the following: a= a. b. b = C. r = d. n = e. 9 =
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 2AGP
Related questions
Question
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Transcribed Image Text:2. Graph the regression line on the same axes as your scatterplot.
Discussion Questions
1. Is the relationship a positive or a negative one? Explain how you can tell and what this means in
terms of weight and fuel efficiency.
2. Interpret the slope of the least squares line in terms of weight and fuel efficiency.
3. Predict the fuel efficiency of a vehicle that weighs 4000 pounds. Include units.
4.
Should we predict the fuel efficiency of a vehicle that weighs 10000 pounds using the least
squares line? Explain why or why not?
A
5.
Does the line seem to fit the data? Why or why not?
6. What percentage of the variation in fuel efficiency is explained by its linear relationship with
weight?
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Transcribed Image Text:Student Learning Outcomes
• Calculate and construct the line of best fit between two variables.
Evaluate the relationship between two variables.
•
Collect the Data
1. 19 new vehicles were randomly selected. Their weight in pounds and fuel efficiency in miles per
gallon were recorded in the following table:
Weight (lbs) Fuel Efficiency (mpg)
2620
21.0
2875
21.0
2320
22.8
3215
21.4
3440
18.7
3460
18.1
3570
14.3
3190
24.4
3150
3440
3440
4070
3730
3780
5250
5424
5345
2200
1615
Table 12.11
22.8
19.2
17.8
16.4
17.3
15.2
10.4
10.4
14.7
32.4
33.9
2. Which variable should be the dependent variable, and which should be the independent
variable? Why?
3. Construct a scatterplot of weight versus fuel efficiency. Plot the points. Label and scale the axes.
iciency)
Analyze the Data
Enter the data into your calculator. Write the linear equation, rounding to 4 decimal places.
1. Calculate the following:
a. a=
b. b =
C. r =
d. n =
e. 9 =
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G Search or type URL
J
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