Refer to the accompanying scatterplot. The four points in the lower left corner are measurements from women, and the four points Ay in the upper right corner are from men. Complete parts (a) through (e) below. 12- 9- :: 6- 0- 9 12 a. Examine the pattern of the four points in the lower left corner (from women) only, and subjectively determine whether there appears to be a correlation between x and y for women. Choose the correct answer below. A. There appears to be a linear correlation because the points form a line. B. There does not appear to be a linear correlation because the points do not form a line. OC. There appears to be a linear correlation because the points form an obvious pattern. OD. There does not appear to be a linear correlation because the points form an obvious pattern. b. Examine the pattern of the four points in the upper right corner (from men) only, and subjectively determine whether there appears to be a correlation between x and y for men. Choose the correct answer below. O A. There does not appear to be a linear correlation because the points form an obvious pattern. B. There appears to be a linear correlation because the points form an obvious pattern. O C. There appears to be a linear correlation because the points form a line. D. There does not appear to be a linear correlation because the points do not form a line. c. Find the linear correlation coefficient using only the four points in the lower left corner (for women). Will the four points in the upper right corner (for men) have the same linear correlation coefficient? The correlation coefficient for the points in the lower left corner isr= (Type an integer or a fraction.)

In analyzing the the correlation between two variables in the scatter plot, when the variable X increases, the variable Y also increases then the correlation between them is  a. no correlation b. negative c. multiple correlation d. positive

Which of the R values below is consistent with a "perfect" correlation?  a. 0.0 b. 0.5 c. -1.0 d. 0.95

a. Calculate the sample covariance.X Y-3 -913 95 12b. Calculate the sample correlation.c. Describe in words the information given to us by the sample covariance and by the sample correlation.Explain how the correlation gives us more precise information.d. Explain why the covariance is not a good measure of the strength of the linear relationship between the twovariables.e. Sketch a scatterplot of a bivariate dataset with a correlation of 0.9f. Sketch a scatterplot of a bivariate dataset with a correlation of -0.3.

7. Use the graphs below to answer (a) and (b) 9, 1 3 7 8 1 2 3 4 7 X LEFT RIGHT a. Which graph displays a negative correlation. Explain. b. Which graph displays the stronger correlation. Explain.

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…

Assume that you have paired values consisting of heights (in inches) and weights (in lb) from 40 randomly selected men. The linear correlation coefficient r is 0.594. Find the value of the coefficient of determination. What practical information does the coefficient of determination provide? Choose the correct answer below. O A. The coefficient of determination is 0.353. 64.7% of the variation is explained by the linear correlation, and 35.3% is explained by other factors. O B. The coefficient of determination is 0.647. 35.3% of the variation is explained by the linear correlation, and 64.7% is explained by other factors. O C. The coefficient of determination is 0.647. 64.7% of the variation is explained by the linear correlation, and 35.3% is explained by other factors. O D. The coefficient of determination is 0.353. 35.3% of the variation is explained by the linear correlation, and 64.7% is explained by other factors.

Given are 3 observations for two variables, x and y. 1 3 6 9 10 40 What is the value of the correlation coefficient? Select one: a. -0.83 O b. 0.83 c. -0.93 d. 0.93

Consider the bivariate data set with n = 7 observations X -4 1 -6 9. -8 -4 -4 Y 20 60 -10 99 -3 16 18 where a linear relationship between X and Y is investigated. The equation relating Y to X is formulated by Y = Bo + B1X + e and is called the simple linear regression equation. Use your calculator to answer the following questions. Give the values of the least squares estimates Bo Round your answer to the nearest integer. Round your answer to 3 decimal places.

Match each scatterplot shown below with one of the four specified correlations Please help