What does it mean to say that the linear correlation coefficient between two variables equals 1? What would the scatter diagram look like? ..... Choose the correct answer below. O A. When the linear correlation coefficient is 1, there is a perfect positive linear relation between the two variables. The scatter diagram would contain points that all lie on a line with a positive slope. O B. When the linear correlation coefficient is 1, there is a perfect negative linear relation between the two variables. The scatter diagram would contain points that all lie on a line with a negative slope. O C. When the linear correlation coefficient is 1, there is a perfect horizontal linear relation between the two variables. The scatter diagram would contain points that all lie on a horizontal line. O D. When the linear correlation coefficient is 1, there is no linear relation between the variables. The scatter diagram would contain points that show no discernable relationship.

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…

What kind of relationship is depicted in the following graph? 7 2 1 0 2 3 a. A positive linear correlation b. A nonlinear correlation c. No correlation Od. A negative linear correlation 6 9 10

the number of rubber bands used and the distance, incentimeters, of her jump. When they created a scatterplotthe relationship appeared to be linear, and the correlationwas r = 0.996. After discussing these results, the teacherinstructed the students to convert the distances to inches.What effect will this have on the correlation between thetwo variables?a) Because 1 cm = 0.393701 inches, the correlationwill become .392126.b) Because 1 cm = 0.393701 inches, the correlationwill become 2.5298.c) Because only the length measurements have changed,the correlation will decrease substantially.d) Because changing from centimeters to inches doesnot affect the value of the correlation, the correlationwill remain 0.996. e) Because inches is a much more common measure-ment for distance in the United States, the relation-ship between the data will be stronger and thus the correlation will increase.

The strength of the correlation is indicated by a number value and the closer that value is to zero, the weaker the correlation. O True O False

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