MODELLING RELATIONSHIPS:et us look again at the test results in mathematics and biology from Example 2.33Example 3424837323030Mathematics (x)252820282521Biology (y)202224a Find the mean of the mathematiCs test results.b Find the mean of the biology test results.* Hence predict the biology test result for someone who got 40 in their mathematics testCalculate both means using your GDCby eye.a i = 32.75b j = 25.25Plot the mean point (32.75, 25.25)on the scatter diagram. Draw a lineof best fit through the mean point sothat there is roughly an equal numberof points above and below the liney504540Do not forget to label the meanpoint, M.3530MBiology 2520-151010 15 20 25 30 35 40 45 50Mathematicsd 28Find the y-coordinate for the point atwhich the line of best fit crosses theline x = 40.Exercise 6EFor each set of data:ai Plot the points on a scatter diagram.ii Describe the type of correlation.10 11 12 13 14 15 16 17 18y 18 20 19 21 24 23 24 26 27jii Find the mean of x and the mean of y.iv Plot and label the mean noint

Given that Data x and y as follows: x y 10 18 11 20 12 19 13 21 14 24 15 23 16…

Answered: Exercise 6E For each set of data: a X…

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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Match the correlation coefficients with their scatterplots. Select the letter of the scatterplot below which corresponds to the correlation coefficient. (Click on image for a larger view.) B v 1. r = -0.74 с A ✓ 2. r = -0.49 3. r = -0.97 4. r = 0.76 A B D
The table lists weights (pounds) and highway mileage amounts (mpg) for seven automobiles. Use the sample data to construct a scatterplot. Use the first variable for the x-axis. Based on the scatterplot, what do you conclude about a linear correlation? Weight (lb) Highway (mpg) Which scatterplot below shows the data? A. 40- 20- 2000 5000 2795 3225 3470 32 34 28 Weight (lb) B. 40- 20+ 2000 D 5000 Weight (lb) 4085 4155 2225 25 23 38 C. ● 20+ 2000 ● ● ● ● 5000 Weight (lb) Is there a linear relationship between weight and highway mileage? A. No, there appears to be no relationship. B. Yes, as the weight increases the highway mileage decreases. C. No, there appears to be a relationship, but it is not linear. D. Yes, as the weight increases the highway mileage increases. 40- 20- 2000 3440 29 5000 Weight (lb)
UnattemptedQuestion 1Expand PreviousNext The data below was collected from manufacturer advertisements of their vehicles' horsepower and highway gas mileage (mpg.). Use this data to answer the following questions. x 158 250 340 350 390 190 220 y 33 28 15 17 11 35 42 1. Find the p-value to determine if there is a linear correlation between horsepower and highway gas mileage (mpg). If there is a linear correlation, write the correlation coefficient below if there is a linear correlation, write the regression equation below. Using the data shown above, predict the the highway gas mileage (mpg) for a car that has a horsepower of 225 If there is a linear correlation, what percentage of variation in highway gas mileage (mpg) can be explained by horsepower?
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Calculate the value of coefficient of correlation petween price and supply. What is its probable error ? Interpret the value of coefficient of correlation. Price 8. 10 15 17 20 22 24 25 Supply : 25 30 32 35 37 40 42 45
Do all Please calculate: Parameters a and b Correlation coefficient Determination coefficient Write correlation equation Visualise data in Scatter chart Provide explanation of results Year Sales, MEUR (Yi) Employees with higher education (Xi) 2010 70 10 2011 90 12 2012 100 15 2013 80 13 2014 110 17 2015 120 20 2016 150 25 2017 200 25 2018 200 25
Answer
Stan measured the circumference of his classmates' heads and compared it with their current grade in Math. The results are in the given table. Head (cm) Grade 55 23 53 92 57 84 56 88 55 97 53 87 54 72 57 64 57 91 Is there a strong correlation in this data set? How do you know? Yes, there is a strong correlation because the slope is 126.5. No, there is NOT a strong correlation because the correlation coefficient is -0.89, which is close to -1.
The following shows a linear correlation between weight and height. Image result for scatter plot scatter plot positive histogram negative O pie chart random frequency polygon biased
Y 5 10 15 20 25 30 -0.112 0.001 0.091 0.942 0 Based on the plot displayed here, what is a possible correlation between the variables and y?

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Exercise 6E For each set of data: a X 10 11 12 13 14 15 16 17 18 i Plot the points on a scatter diagram. ii Describe the type of correlation. y 18 20 19 21 24 23 24 26 27 iii Find the mean of x and the mean of y. iv Plot and label the mean noint -3