Instruction: Solve and interpret the following data. Show vour complete solution on a piece ofраper1. Find the value of the correlation coefficient from the following table:Subjectx2_y²Xyху14515321837420332524252973026834223824105015O = 10Σχ=Ey =Ex2 =Ey² =Σxy%D

The independent variable is x. The dependent variable is y. This is simple linear regression model.…

Answered: Instruction: Solve and interpret 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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The data below is 12 observations of Math SAT scores (x) and scores on Math placement test (y). Calculate the linear correlation coefficient, r. Enter your answers to two decimal places. Y 580 619 510 476 590 506 550 469 450 523 470 392 500 508 440 462 600 625 530 569 410 346 430 508 Question Help: Message instructor Submit Question Chp Ce %23 7 8. 9. W <6 64
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
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
3. The speed (in miles per hour) of 8 vehicles and their braking distance (in feet) when stopping on a dry surface speed, x braking distance, y 20 30 40 50 50 60 65 70 55 72 75 110 138 162 193 225 type of correlation: Conclusion
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…
Calculate the correlation coefficient r, letting Row 1 represent the x-values and Row 2 the y-values. Then calculate it again, letting Row 2 represent the x-values and Row 1 the y-values. What effect does switching the variables have on r? Row 1 19 23 31 49 51 70 79 Row 2 156 155 190 141 202 191 181 Calculate the correlation coefficient r, letting Row 1 represent the x-values and Row 2 the y-values. r= 0.430 (Round to three decimal places as needed.) Calculate the correlation coefficient r, letting Row 2 represent the x-values and Row 1 the y-values. (Round to three decimal places as needed.)
Which of the following correlation coefficients might lead a researcher to conclude that there is a weak, but significant, negative linear relation between variables X and Y? a. r=0.99 b. r=0.30 c. r=0 d. r=-0.30 c. r=-0.99
A local store kept track of the number of advertisements it placed in local newspapers and the number of stereo systems it sold each week. Week 1 2 3 4 5 6 7 8 Advertisements, x 7 5 4 2 8 5 5 3 Stereos Sold, y 23 15 12 8 2 7 9 6 a) Create a scatter plot for the data showing Advertisements Vs. Stereos Sold. b) Determine the value of r, the correlation coefficient for the set of data and classify the type of correlation. c) What does this correlation coefficient suggest about the effectiveness of the advertisements? Explain
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
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Calculate the correlation coefficient r, letting Row 1 represent the x-values and Row 2 the y-values. Then calculate it again, letting Row 2 represent the x-values and Row 1 the y-values. What effect does switching the variables have on r? Row 1 14 25 36 45 59 66 80 Row 2 162 166 160 106 139 143 156 Calculate the correlation coefficient r, letting Row 1 represent the x-values and Row 2 the y-values. (Round to three decimal places as needed.)

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