3. Fit a plane to the data given in the table below. Compute the correlation coefficient. Predict the value of y when #₁ = 12,₂ = 9. Round-off the values of the coefficients, correlation coefficient and the prediction to 4 decimal places.05113145821X231246676106989

Given: We have the following data on variables- x1 x2 y 0 3 5 2 4 6 5 6 7 6 10 6 9 8 9…

Answered: 3. Fit a plane to the data given in the…

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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Suppose the correlation between variables x and y isr = – 1. Also suppose that the data contains the points (6, 14) and (2, 18). Finally, suppose that the x-values in the data set are: æ 2 3 5 6 8 Make a scatterplot of this data set. 20+ 19 18 17 16 15 14 13 12 10 8 6 6
Below is data for two variables, X and Y. Answer the questions that follow. X Y X-MX Y-MY (X-MX)2 (Y-MY)2 (X-MX)(Y-MY) 3 3 -2 -1 4 1 2 4 3 -1 -1 1 1 ___ 6 4 1 ___ 1 0 0 7 6 2 2 ___ 4 4 Positive or negative correlation?
Match the correlation coefficients with their scatterplots. Select the letter of the scatterplot below which corre- sponds to the correlation coefficient. (Click on image for a larger view.) ? 1. r= 0.76 ? 2. r=-0.74 ? 3. r= 0.22 ? 4. r= -0.97 A B C D
The following statement contains an error. Choose the statement that best explains the error. "The correlation between shoe size and height is 0.87 inches" A. Correlation requires that both of the variables be categorical B. When stating the correlation coefficient, one must state whether it is a positive or negative relationship C. This statement does not tell us whether or not shoe size is correlated with height D. When reporting correlation, one does not report units because correlation has no units E. There is no error in this statement
Answer parts A-D please
Use the data in the table, which shows the average annual salaries (both in thousands of dollars) for public school principals and teachers in the U.S. for 11 years. Apply what you have learned in the previous tab to complete this graded lab questions. 1. Repeat the steps from tab #1 using this data to construct a scatter plot graph and calculate the correlation coefficient R. (Recall the corelation coefficient is R and not R Teachers y Principalsx 77.8 43.7 78.4 43.8 80.8 45.0 R= 80.5 45.6, 2. Does the R value represent a positive, negative or no correlation between the salaries ol the teachers and principals? As teacher salaries increase, what happens to prinicipal salaries? 10 11 81.5 45.9 84.8 48.2 12 13 87.7 49,3 3. Write the equation of the regression line for the data below. The equation is y= 14 91.6 51.3 52.9 Teachers y 15 16 95.7 54.4 COD 54.2 =D0.5873x-2.0s07o R=0.995, 17 95.7 4. Use the regression equation that you found in exercise #3 to predict the average annual salary…
How does multiplying each score by a (positive) constant affect the value of the correlation? The correlation changes sign. The correlation does not change. The correlation decreases. The correlation increases.
Use the data values in the table below to calculate the correlation between the variables x and y.Submit the link through Canvas to either a photo of your work on paper or a link to a google sheet. x y 5 15.3 6 20.06 7 21.42 8 24.18 9 28.64 10 31.5 11 31.86 Give your answer to three decimal places.
9. Tell whether the correlation coefficient would be closest to -1, 0 or 1. a. b. с. 150 150 150 100 100 100 50 50 50 0 2 4 6 x 0 2 4 6x 0 2 4 6 x
4.

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3. Fit a plane to the data given in the table below. Compute the correlation coefficient. Predict the value of y when #₁ = 12, 2=9. Round-off the values of the coefficients, correlation coefficient and the prediction to 4 decimal places. 2 11 4 14 6 8 21 X2 Y 0 3 5 5 6 7 6 10 6 9 8 9