For the following data (a) display the data in a scatter plot, (b) calculate the sample correlation coefficient r, and (c) make a conclusion about the type of correlation. Use technology.
The earnings per share (in dollars) and the dividends per share (in dollars) for 66 medical supplies companies in a recent year are shown in the data set below.
|
Earnings per share, x |
2.74 |
5.02 |
4.57 |
3.05 |
3.77 |
2.17 |
|
|||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
|
Dividends per share, y |
0.54 |
2.37 |
1.44 |
0.82 |
1.05 |
0.260 |
||||||||||||||||
(a) Create a scatter plot that best represents the data below. Use technology.
(c) Which of the following best describes the type of correlation that exists between earnings per share and dividends per share?
A. No linear correlation
B. Strong negative linear correlation
C. Strong positive linear correlation
D. Weak negative linear correlation
E. Weak positive linear correlation

b)Sample correlation is 0.9558787.
c) There is a strong positive linear correlation as correlation is very close to 1 and also have positive sign.
For the following data (a) display the data in a scatter plot, (b) calculate the sample...
For the following data (a) display the data in a scatter plot, (b) calculate the sample correlation coefficient r, and (c) make a conclusion about the type of correlation. Use technology. The earnings per share (in dollars) and the dividends per share (in dollars) for six medical supplies companies in a recent year are shown in the data set below. a) choose the correct scatter plot. Use technology. (b) The correlation coefficient r is _____ (Round to three decimal places...
For the following data (a) display the data in a scatter plot, (b) calculate the sample correlation coefficient r, and (c) make a conclusion about the type of correlation. Use technology. The earnings per share (in dollars) and the dividends per share (in dollars) for six medical supplies companies in a recent year are shown in the data set below. a) choose the correct scatter plot. Use technology. (b) The correlation coefficient r is _____ (Round to three decimal places...
For the following data (a) display the data in a scatter plot, (b) calculate the sample correlation coefficient r, and (c) make a conclusion about the type of correlation. Use technology. The eamings per share (in dollars) and the dividends per share (in dollars) for 6 medical supplies companies in a recent year are shown in the data set below. Earnings per share, x 2.74 5.05 Dividends per share,0.56 2.39 4.53 3.02 3.73 2.25 1.46 0.89 1.06 0.27 v (a)...
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 6 children and the number of words in their vocabulary Age, x 1. 2 3 4 5 6 Vocabulary size, y 500 450 1350 1750 2300 2300 (a) Choose the correct scatter plot below. A. B. c. D. 2350+.. 7 2350- 2350- Vocabulary Age Vocabulary Vocabulary ....
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 6 children and the number of words in their vocabulary Age, x 1 2 3 4 5 6 Vocabulary size, y 300 450 1500 1500 2300 2400 a Ag Vocab Vocab Vocabi . 2450 Vocabulary Age Age Age (b) The correlation coefficient r is (Round to three...
3. A sample of seven households was obtained, and information on their income and food expenditures for the past month was collected. The data (in hundreds of dollars) are: ) Put the points into your calculator list. Use your calculator to perform linear regression. What is the correlation? Is it positive, negative, or neither? Is it strong or weak? Find the equation of the line of best fit. (c) Write a sentence that interprets the estimated slope. (d) Use your...
The scatter plot shows the sizes and annual rents of some office
spaces in the downtown area of a city.
What would the line of best fit reveal about these data?
There is a strong negative relationship between the cost of
rent and the size of the office space.
There is a strong positive relationship between the cost of
rent and the size of the office space.
There is a weak negative relationship between the cost of rent
and the...
1. construct a scatter plot for the variables 2. compute the value of the correlation coefficient 3. give an explanation of the type nof relationship that exists between the two variables. The explanation should be a short paragraph. In this paragraph inclue the following: *say whether the is a strong positiv elinear correlation, weak positive linear correlation, strong ngative linear correlation, weak negative correlation, or no linear correlation between the two variables. *explain how you can see this from the...
Construct a scatter plot for the given data. Determine whether there is positive, negative, or no linear correlation. 5342 0213 1166344
4. The following table presents data on x- the number of oil changes per year and y the cost of repairs for a sample of 10 cars from a given region: Number of oil changes per year (x ost of Repairs S( e) Put the points into your calculator list. (d) Use your calculator to perform linear regression. a. What is the correlation? Is it positive, negative, or neither? Is it strong or weak? b. Find the equation of the...