$15 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 20 4 X fx A B с D E F G H I For Exercises

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$15 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 20 4 X fx A B с D E F G H I For Exercises 1-8, use the data in the table, which shows the average annual salaries (both in thousands of dollars) for public school principals and public school classroom teachers in the United States for 11 years. Principals, .x Classroom teachers, y 77.8 43.7 78.4 43.8 80.8 45.0 80.5 45.6 81.5 45.9 84.8 48.2 87.7 49.3 91.6 51.3 93.6 52.9 95.7 54.4 95.7 54.2 Lab 6-#2 Lab 6-#1 (+) J K L M N 0 Q R Apply what you have learned in the previous tab to complete this graded lab questions. 1. Construct a scatter plot for the data. Do the data appear to have a positive, negative or no linear correlation? Write at least one complete sentence in response to linear correlation question. 2. Calculate the correlation coefficient r and interpret the results. Does the r value represent a positive, negative or no correlation between the salaries of the teachers and principals. Write at least one complete sentence that includes your interpretation of the correlation coefficient. (Recall the correlation coefficient is R and not R²) 3. Write the equation of the regression line for the data below. The equation is y= 4. Use the regression equation that you found in exercise #3 to predict the average annual salary of public school classroom teachers when the average annual salary of public school principals is $90,500. Show your work in the cells to the right. (Be careful when entering the x-value in the equation. The table shows numbers that have been adjusted in terms of the thousands. Example: if the salary is $82,500, then use x = 82.5) when the principal makes The predicted salary for teachers is_$_ $90,500. P S T Principals Teachers 77.8 43.7 78.4 43.8 80.8 45.0 45.6 80.5 81.5 45.9 84.8 48.2 87.7 49.3 91.6 51.3 93.6 52.9 95.7 54.4 95.7 54.2 U V W XA |►