Please answer parts a to c 02040608012Force (N)Length (mm)211001852553502. Use the table of measurements of length and force that you have been supplied with to complete the followingactivities:(a) Draw a scatter graph for your given data. Describe what the scatter graph is indicating.(b) Use the scatter graph to estimate the length for a force of 57N(c) Calculate the line of regression of extension on force (Yon X)(d) Calculate the regression coefficient(e) Explain what the regression coefficient indicates?(f) Use the equation for the line of regression to predict the length for a force of 57N(8) Compare the calculated value with the value that you have determined from the scatter graph.

Given: The data is as shown below Force Length 0 21 20 100 40 185 60 255 80 350…

Answered: 0 20 40 60 80 12 Force (N) Length (mm)…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter7: Distance And Approximation

Section7.3: Least Squares Approximation

Problem 32EQ

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2. Use the table of measurements of length and force that you have been supplied with to complete the following activities: (a) Draw a scatter graph for your given data. Describe what the scatter graph is indicating. (b) Use the scatter graph to estimate the length for a force of 57N (c) Calculate the line of regression of extension on force (Y on X) (d) Calculate the correlation coefficient (e) Explain what the correlation coefficient indicates (f) Use the equation for the line of regression to predict the length for a force of 57N (g) Compare the calculated value with the value that you have determined from the scatter graph. Force (N) 0 20 40 60 80 Length (mm) 8 100 215 310 400.
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0 20 40 60 80 12 Force (N) Length (mm) 21 100 185 255 350 Use the table of measurements of length and force that you have been supplied with to complete the activities: (a) Draw a scatter graph for your given data. Describe what the scatter graph is indicating.