there are 5 pages on the file but only need pages 3 to 5 answered
Data Analysis: CCJ-4746 Lab 3 Part 1 Name: _________________________________ Date: __________________________ Total Points: 50 PEARSON r: INTERPRETATION: I RIDDLE: What kind of cow gives evaporated milk? Directions: To find the answer to the riddle, write ‘T’ for “true” or “F” for “false” on the line to the left of each statement. The letter at the end of the first true statement is the first letter in the answer to the riddle, the letter at the end of the second true statement is the second letter, and so on. 1. ___ A Pearson r of 1.00 represents no relationship. (M) 2. ___ A Pearson r of 0.50, is more likely to be called “moderately strong” than to be called “weak.” (A) 3. ___ A Pearson r of -0.50 is more likely to be called “moderately strong” than to be called “weak.” (D) 4. ___ A Pearson r of -0.97 represents a very weak relationship. (E) 5. ___ A Pearson r indicates both the strength and direction of a relationship. (R) 6. ___ A Pearson r is a type of correlation coefficient. (Y) 7. ___ If a relationship is extremely strong, a Pearson r will have a value greater than 1.00. (I) 8. ___ A Pearson r of 0.95 represents a very strong relationship. (C) 9. ___ The maximum value of a Pearson r is 0.00. (F) 10. ___ The possible values of a Pearson r range from -1.00 to 1.00. (0) 11. ___ The purpose of a Pearson r is to establish the central tendency of a set of scores. (P) 12. ___ All negative relationships are weak. (D) 13. ___ A scatter diagram with dots that form a pattern going from the lower lefthand corner to the upper right-hand corner represents scores that would yield a positive value of r. (W) 14. ___ If a Pearson r between two variables is very strong, this provides very firm evidence that one variable affects the other. (S) Write the answer to the riddle here, putting one letter on each line: _____ _____ ______ _____ _____ _____ _____ Data Analysis: CCJ-4746 Lab 3 Name: _________________________________ Date: __________________________ PEARSON R: INTERPRETATION: II RIDDLE: Why did the hippies get married in a bath tub? Directions: To find the answer to the riddle, write “T” for “true” or “F” for “false” on the line to the left of each statement. The word at the end of the first true statement is the first word in the answer to the riddle, the word at the end of the second true statement is the second word, and so on. 1. ___ For a Pearson r of 0.50, the coefficient of determination equals 0.25. (IN) 2. ___ For a Pearson r of -0.60, the coefficient of determination equals 0.36. (ORDER) 3. ___ For a Pearson r of 0.75, 75% of the variance on one variable is explained by (i.e., is accounted for by) the other. (LOVE) 4. ___ For a Pearson r of -0.40, 40% of the variance on one variable is explained by the other. (WILL) 5. ___ For a Pearson r of 0.90, 81% of the variance on one variable is explained by the other. (TO) 6. ___ For a Pearson r of 0.80, 36% of the variance on one variable is NOT explained by the other. (HAVE) 7. ___ The Pearson r may be thought of as a proportion that, when multiplied by 100, yields the percent of variance on one variable explained by the other. (BECOME) 8. ___ The square of the Pearson r is known as the “coefficient of determination.” (A) 9. ___ For a Pearson r of -0.36, the coefficient of determination equals —0.06. (COUPLE) 10. ___ For a Pearson r of -0.22, about 95% of the variance on one variable is NOT explained by the other. (DOUBLE) 11. ___ For a Pearson r of —0.62, a majority of the variance on one variable is explained by the other. (CLEAN) 12. ___ For making predictions from one variable to another, a Pearson r of -0.78 is better than a Pearson r of 0.52. (RING) 13. ___ A simple correlational study is usually NOT suitable for identifying causeand-effect relationships. (CEREMONY) Write the answer to the riddle here, putting one word on each line: _____ _____ _____ _____ _____ _____ ______ ______ Data Analysis: CCJ-4746 Lab 3 Lab Assignment 9 (Part 2): Pearsons R Name: _________________________________ Date: __________________________ PEARSONs R: COMPUTATIONS RIDDLE: At the dining room table, the mother said, “Stop reaching. Haven’t you got a tongue?” What did the son say in return? Directions: To find the answer to the riddle, write the answers to the problems on the lines. The word in the solution section beside the answer to the first problem is the first word in the answer to the riddle, the word beside the answer to the second problem is the second word, and so on. Round your answers to three decimal places. X Y A B 3 6 20 0 5 8 15 0 4 9 10 5 9 10 18 2 10 12 9 10 6 15 C D E F 6 1 35 8 1 0 41 8 10 20 55 9 15 25 50 10 20 25 35 10 25 25 30 10 1. ____ What is the value of the Pearson r for X and Y? 2. ____ What is the value of the Pearson r for A and B? 3. ____ What is the value of the Pearson r for C and D? 4. ____ What is the value of the Pearson r for E and F? 5. ____ What is the value of the Pearson r for G and H? 6. ____ What is the value of the Pearson r for I and J? SOLUTION SECTION: 1.00 (PLEASE) -0.778 (ARE) 0.10 (MANNERS) 0.897 (YES) 0.78 (PASS) -0.24 (LEGS) -0.041 (ARMS) -1.00 (TABLE) -0.87 (FATHER) -0.898 (BUT) -0.95 (IS) -0.11 (FEET) 0.00 (LONGER) 0.872 (MY) -.25 (FOOD) 0.50 (DINNER) Write the answer to the riddle here, putting one word on each line: _____, _____ _____ _____ _____ _____ Data Analysis: CCJ-4746 Lab 3 Name: _________________________________ Date: __________________________ Part 3 In this assignment, we will use our calculators to solve an equation using correlation and linear regression. You will be required to graph your data, add the regression line and then finally solve the equation for a series of numbers. The Data: X 1 2 3 5 7 8 6 9 12 20 Y 20 21 24 26 17 24 28 29 31 78 1.) What is the Mean of X? _____ 2.) What is the Mean of Y? ______ 3.) What is the Pop SD of X? ______ 4.) What is the Pop SD of Y? ______ 5.) What is the value for the Σ??? ______ 6.) What is the value of R or the correlation coefficient? ______ 7.) What is your regression formula? Y=A+BX a. A = ______ b. B = ______ 8.) Is this correlation positive or negative? _____ 9.) Using Cohen’s index (low, medium or large) how would you classify this relationship? ____ 10.)Plot your data on your calculator using a scattergram. Draw the scattergram (DO NOT DRAW THE REGRESSION LINE) and describe the level of dispersion around what you perceive to be the regression line. Is it low, medium or large? Do you see any outliers that may affect the equation? Data Analysis: CCJ-4746 Lab 3 Name: _________________________________ Date: __________________________ 11.)Run your regression equation again and save the formula to the first function. Plot your data again and draw it in the space provided below. Make sure you draw the regression line. 12.)For the regression equation above, use your calculator to solve the regression equation for the X (or independent variable) values of the following data. (Use the CALC-> VALUE function on your TI83/84 and enter the values of your additional independent variables.) a. 04 _____ b. 06 _____ c. 10 _____ d. 11 _____ e. 15 _____ f. 17 _____