Question

Consider the following sample data for two variables. x = 16, 6,4,2 and Y= 5,11,6,8 a....

Consider the following sample data for two variables. x = 16, 6,4,2 and Y= 5,11,6,8 a. Calculate the sample covariance Sxy=  b. Calculate the sample correlation coefficient rxy= c. Describe the relationship between x and y. Choose the correct answer below. A. There is a positive linear relationship between x and y. B. There is no linear relationship between x and y. C. There is a perfect negative linear relationship between x and y. D. There is a perfect positive linear relationship between x and y. E. There is a negative linear relationship between x and y.

Homework Answers

Answer #1

The solution is done showing all steps with calculations and required formulas. Hope you can understand.

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Using the data given below, calculate the linear correlation between the two variables x and y....
Using the data given below, calculate the linear correlation between the two variables x and y. X 0 3 3 1 4 y 1 7 2 5 5 (a)        .794                 (b) .878            (c) .497            (d) .543 Refer to question 4. Assume you are using a 0.05 level of significance; is there a significant relationship between the two variables x and y? Yes                        (b) no The heights (in inches) and pulse rates (in beats per minutes) for a sample of 40...
Consider the following sample:             x 9 6 7 5 8 y 19 14 16 12...
Consider the following sample:             x 9 6 7 5 8 y 19 14 16 12 15             Calculate the coefficient of correlation. Does correlation coefficient provide information about the relationship between x and y? Explain. Find the linear regression line. Find y, if x is 10.
A) Two variables have a high covariance. This means the two variables have a strong relationship....
A) Two variables have a high covariance. This means the two variables have a strong relationship. T/F B) For a variable x, the sample mean is 8 and the sample standard deviation is 2. One of the observations is 15. Is this observation an outlier? Group of answer choices Yes, the z-score is greater than 3 No, the z-score is between -3 and 3 Yes, the z-score is between -3 and 3 No, the z-score is less than -3 C)...
1. Name two ways in which two variables could be related. Select the two most correct...
1. Name two ways in which two variables could be related. Select the two most correct answers. Choose the correct answer below. A) Strong and moderate B) Moderate and negative C) Weak and moderate D) strong and weak 2. Name a graph that can be used to quickly illustrate the relationship between two variables? Choose the correct answer below. A) Histogram B) Regression line C) Scatter plot D) Time series graph. 3. What do we mean by the strength of...
Earnings per​ share, x Dividends per​ share, y 1.55 1 4.39 0.48 3.92 2.2 8.79 1.22...
Earnings per​ share, x Dividends per​ share, y 1.55 1 4.39 0.48 3.92 2.2 8.79 1.22 2.16 0.78 3.16 1.72 ​(b) Calculate the sample correlation coefficient r. requals=nothing ​(Round to three decimal places as​ needed.) ​(c) Describe the type of​ correlation, if​ any, and interpret the correlation in the context of the data. There is ▼ (Blank) Answers choices below a moderate negative a strong negative a strong positive a moderate positive no a perfect positive a perfect negative linear...
A sample of 24 observations provides the following statistics: [You may find it useful to reference...
A sample of 24 observations provides the following statistics: [You may find it useful to reference the t table.] sx = 19, sy = 16, and sxy = 118.75 a-1. Calculate the sample correlation coefficient rxy. (Round your answer to 4 decimal places.) a-2. Interpret the sample correlation coefficient rxy. A. The correlation coefficient indicates a positive linear relationship. B. The correlation coefficient indicates a negative linear relationship. C. The correlation coefficient indicates no linear relationship. b. Specify the hypotheses...
Use the given data set to complete parts​ (a) through​ (c) below.​ (Use alphaαequals=​0.05.) x 1010...
Use the given data set to complete parts​ (a) through​ (c) below.​ (Use alphaαequals=​0.05.) x 1010 88 1313 99 1111 1414 66 44 1212 77 55 y 7.457.45 6.786.78 12.7412.74 7.117.11 7.817.81 8.858.85 6.096.09 5.395.39 8.148.14 6.416.41 5.735.73 LOADING... Click here to view a table of critical values for the correlation coefficient. b. Find the linear correlation​ coefficient, r, then determine whether there is sufficient evidence to support the claim of a linear correlation between the two variables. The linear...
Assuming a linear relationship between X and Y, if the coefficient of correlation (r) equals −0.75,...
Assuming a linear relationship between X and Y, if the coefficient of correlation (r) equals −0.75, this means that: a. there is very weak correlation. b. the slope b1 is = −0.75. c. the value of X is always greater than the value of Y. d. None of these choices are true. Which of the following is a property of the slope, b1? a. The slope equals one if X and Y have the same variance. b. The slope has...
For the following data​ (a) display the data in a scatter​ plot, (b) calculate the correlation...
For the following data​ (a) display the data in a scatter​ plot, (b) calculate the correlation coefficient​ r, and​ (c) make a conclusion about the type of correlation. The ages​ (in years) of six children and the number of words in their vocabulary Choose the correct scatter plot ​(b) The correlation coefficient r is ____ ​(Round to three decimal places as​ needed.) ​(c) Which of the following best describes the type of correlation that exists between age and vocabulary​ size?...
Consider the following linear regression prediction equation: Y = –3 x + 144. What is the...
Consider the following linear regression prediction equation: Y = –3 x + 144. What is the direction of the relationship between these two variables? a. Neutral relationship b. Positive relationship c. Negative relationship d. No relationship
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT