**Title: Analyzing the Relationship Between Weight and Pulse Rate****Objective:**This task involves analyzing the relationship between weight and pulse rate among fifteen students. The student data includes both weights (in kg) and corresponding pulse rates (beats per minute). You will create a scatter diagram, calculate the correlation coefficient, and perform other analyses on the data.**Data Table:**| **Weight (x kg)** | 46 | 37 | 32 | 57 | 47 | 64 | 42 | 50 | 52 | 56 | 65 | 46 | 38 | 40 ||-------------------|----|----|----|----|----|----|----|----|----|----|----|----|----|----|| **Pulse rate (y beats per min)** | 65 | 59 | 54 | 74 | 69 | 87 | 61 | 59 | 70 | 59 | 70 | 75 | 56 | 58 |**Tasks:**a. **Draw a Scatter Diagram for the Data:** - Plot the given data points on a graph with "Weight (kg)" on the x-axis and "Pulse rate (beats per minute)" on the y-axis.b. **Calculate the Correlation Coefficient (r):** - Determine the strength and direction of the linear relationship between weight and pulse rate.c. **Describe the Relationship Between Weight and Pulse Rate:** - Analyze and explain the trend observed from the scatter diagram and correlation calculation.d. **Calculate the Mean Point (x̄, ȳ):** - Compute the mean for both weight and pulse rate.e. **Locate the Mean Point on the Scatter Diagram:** - Use the mean point in drawing a line of best fit on the scatter diagram.f. **Estimate the Pulse Rate of a 50 kg Student:** - Using the line of best fit, predict the pulse rate for a student weighing 50 kg. Discuss the reliability of this estimate based on the correlation coefficient.**Graphical Diagram:**- The scatter plot visually represents the data and helps in identifying any patterns or relationships between the two variables: weight and pulse rate.**Conclusion:**By completing these steps, you will gain insights into how weight may affect pulse rate and the reliability of making predictions based on this data.

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MATLAB: An Introduction with Applications

6th Edition

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Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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