For the accompanying data set, (a) draw a scatter diagram of the data, (b) by hand,...
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For the accompanying data set, (a) draw a scatter diagram of the data, (b) by hand, compute the correlation coefficient, and (c) determine whether there is a linear relation between x and y. Click the icon to view the data set. critical values for the correlation coefficie O Click the icon to view the critical values table. Critical Values for Correlation Coefficien (a) Draw a scatter diagram of the data. Choose the correct graph below. n 3 0.997 4 0.950 5 0.878 6 0.811 7 0.754 8 0.707 OA. OB. Oc. AY 10- Ay 10- AY 10 0.666 10 0.632 11 0.602 12 0.576 13 0.553 14 0.532 15 0.514 16 0.497 17 0.482 18 0.468 19 0.456 20 0.444 21 0.433 22 0.423 23 0.413 24 0.404 25 0.396 26 0.388 27 0.381 28 0.374 29 0.367 30 0.361 10 10 (b) By hand, compute the correlation coefficient. The correlation coefficient isr= E |- (Round to three decimal places as needed.) (c) Determine whether there is a linear relation between x and y. Because the correlation coefficient is - and the absolute value of the correlation coefficient, is - than the critical value exists between x and y. (Round to three decimal places as needed.) Data set 7 6 7 9 y 3 6 9 5 Print Done Print Done For the accompanying data set, (a) draw a scatter diagram of the data, (b) by hand, compute the correlation coefficient, and (c) determine whether there is a linear relation between x and y. Click the icon to view the data set. critical values for the correlation coefficie O Click the icon to view the critical values table. Critical Values for Correlation Coefficien (a) Draw a scatter diagram of the data. Choose the correct graph below. n 3 0.997 4 0.950 5 0.878 6 0.811 7 0.754 8 0.707 OA. OB. Oc. AY 10- Ay 10- AY 10 0.666 10 0.632 11 0.602 12 0.576 13 0.553 14 0.532 15 0.514 16 0.497 17 0.482 18 0.468 19 0.456 20 0.444 21 0.433 22 0.423 23 0.413 24 0.404 25 0.396 26 0.388 27 0.381 28 0.374 29 0.367 30 0.361 10 10 (b) By hand, compute the correlation coefficient. The correlation coefficient isr= E |- (Round to three decimal places as needed.) (c) Determine whether there is a linear relation between x and y. Because the correlation coefficient is - and the absolute value of the correlation coefficient, is - than the critical value exists between x and y. (Round to three decimal places as needed.) Data set 7 6 7 9 y 3 6 9 5 Print Done Print Done
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Concepts and reason Scatter plot The relationship between the two variables can be graphically interpreted using scatter diagram Dependent variable The variable is change or affected by other variables is known as dependent variable Independent variable The variable that does not change or affected by other variables is known as independent variable Regression Regression is a technique that is used to determine relationship between two or more variables That is the change in the predictor variable ... View the full answer
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