Homework Help is Here – Start Your Trial Now!
Math
Statistics
4. (a) An experiment was carried out to determine the relationship between length and resistance of a wire, the results are given below: Observation number 1 2 3 4 5 Length (m) 0.1 0.21 0.35 0.48 0.52 Resistance (2) 1.1 2.2 3.1 4.5 5.0 Table 1: Results from an experiment conducted to investigate the relationship between length and resistance of wire. Use simple linear regression to determine the equation for your line of best fit through the data, letting the wire length be the independent variable and resistance be the dependent. Approximate your answers to 3dp. (b) Determine the R2 value for your model and comment on what information this gives about your model. Approximate your answer to 3 dp. (c) Use the model that you fitted to your data above to predict the resistance of piece of wire, 70 cm in length.

4. (a) An experiment was carried out to determine the relationship between length and resistance of a wire, the results are given below: Observation number 1 2 3 4 5 Length (m) 0.1 0.21 0.35 0.48 0.52 Resistance (2) 1.1 2.2 3.1 4.5 5.0 Table 1: Results from an experiment conducted to investigate the relationship between length and resistance of wire. Use simple linear regression to determine the equation for your line of best fit through the data, letting the wire length be the independent variable and resistance be the dependent. Approximate your answers to 3dp. (b) Determine the R2 value for your model and comment on what information this gives about your model. Approximate your answer to 3 dp. (c) Use the model that you fitted to your data above to predict the resistance of piece of wire, 70 cm in length.

College Algebra
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter1: Equations And Graphs
Section: Chapter Questions
Problem 10P
See similar textbooks
icon
Related questions
Question

Can I get full workings out for this past paper question please?

(e) A larger experiment was conducted to examine the relationship between Wire length and resistance, the data along with the regression line is shown in Figure 2. Explain the relevance of both the confidence bands and prediction bands, also shown on the plot. Resistance (2) 4 3.5 3 2.5 2 1.5 1 Data Regression Line Confidence bands Prediction bands 0.15 0.2 0.25 0.3 0.35 0.4 0.45 0.5 0.55 Length (m) Figure 2: A larger experiment is conducted to investigate the relationship between sensitivity and wire thickness.
Transcribed Image Text:(e) A larger experiment was conducted to examine the relationship between Wire length and resistance, the data along with the regression line is shown in Figure 2. Explain the relevance of both the confidence bands and prediction bands, also shown on the plot. Resistance (2) 4 3.5 3 2.5 2 1.5 1 Data Regression Line Confidence bands Prediction bands 0.15 0.2 0.25 0.3 0.35 0.4 0.45 0.5 0.55 Length (m) Figure 2: A larger experiment is conducted to investigate the relationship between sensitivity and wire thickness.
4. (a) An experiment was carried out to determine the relationship between length and resistance of a wire, the results are given below: Observation number 1 2 3 4 5 Length (m) 0.1 0.21 0.35 0.48 0.52 Resistance (2) 1.1 2.2 3.1 4.5 5.0 Table 1: Results from an experiment conducted to investigate the relationship between length and resistance of wire. Use simple linear regression to determine the equation for your line of best fit through the data, letting the wire length be the independent variable and resistance be the dependent. Approximate your answers to 3dp. (b) Determine the R2 value for your model and comment on what information this gives about your model. Approximate your answer to 3 dp. (c) Use the model that you fitted to your data above to predict the resistance of piece of wire, 70 cm in length.
Transcribed Image Text:4. (a) An experiment was carried out to determine the relationship between length and resistance of a wire, the results are given below: Observation number 1 2 3 4 5 Length (m) 0.1 0.21 0.35 0.48 0.52 Resistance (2) 1.1 2.2 3.1 4.5 5.0 Table 1: Results from an experiment conducted to investigate the relationship between length and resistance of wire. Use simple linear regression to determine the equation for your line of best fit through the data, letting the wire length be the independent variable and resistance be the dependent. Approximate your answers to 3dp. (b) Determine the R2 value for your model and comment on what information this gives about your model. Approximate your answer to 3 dp. (c) Use the model that you fitted to your data above to predict the resistance of piece of wire, 70 cm in length.
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS