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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.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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(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.
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