The accompanying table shows the ages (in years) of 11 children and the numbers of words in their vocabulary. Complete parts (a) through (d) below.Click here to view the data table. Click here to view the table of critical values for the Pearson correlation coefticient(a) Display the data in a scatter plot. Choose the correct graph below.O A.OB.Oc.OD.3000-2400-* 1800-3000-2400E 1800-1200-6006-Q4-41200-2-600-0-1500Age (years)30001500Age years)0 +++->0 2 4 6 8Age (years)30000 2 4 6 8Age (years)(b) Calculate the sample correlation coefficient r.(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 islinear correlation.Interpret the correlation. Choose the correct answer below.O A. As age increases, the number of words in children's vocabulary tends to decrease.O B. Aging causes the number of words in children's vocabulary to increase.O č. Based on the correlation, there does not appear to be a linear relationship between children's ages and the number of words in their vocabularyAnina coucos the numhor of unrde in childonnle mhrilans to orece The accompanying table shows the ages (in years) of 11 children and the numbers of words in their vocabulary. Complete parts (a) through (d) below.Click hero to view the data table. Click here to view.the table of critical values for the Poarson correlation coeficiont.0-O 2 4 660 21500 3000Age (years)Ó 2 4 6 -8Age (years)1500 3000Aga (years)A Data Table(b) Calculate tho sample correlation coefficient r.(Round to three decimal places as needed.)Age, xVocabulary slze, y7(c) Describe the type of correlation, if any, and interpret the correlation in the context of the data.2250There islinear correlation.55041100Interpret the correlation. Choosé the correct answer below.522006.2600O A. As age increases, the number of words in children's vocabulary tends to decrease.3630O B. Aging causes the number of words in children's vocabulary to increase.2300O c. Based on the correlation, there does not appear to be a linear relationship between children's ages and the nümber of words in their vocabulary2.2604.1300O D. Aging causes the number of words in children's vocabulary to decrease.6.2400O E. Based on the correlation, there does not appear to be any relationship between chilcren's ages and the number of words in their vocabulary.O F. As age increases, the number of words in children's vocabulary tends to increase.PrintDone(d) Use the table of critical values for the Pearson correlation coefficient to make a conclusion about the correlation coefficient: Let a=0.01.V sufficient evidence at the 1% level of significance to conclude thatMbetween children's ages and the number of words in their vocabulary.The critical value is. Therefore, there(Round to threo docimal places as needed.)Click to eelect vou ur answeris)

(a) The scatterplot is obtained by using EXCEL. The software procedure is given below: In first…

(b) Calculate the sample correlation coefficient r. (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 linear correlation. Interpret the corrolation. Choose the correct answer below. O A. As age increases, the number of words in children's vocabulary tends to decrease. B. Aging causes the number of words in children's vocabulary to increase. C. Based on the correlation, there does not appear to be a linear relationship between children's ages and the nümber of words in their vocabulary D. Aging causes the number of words in children's vocabulary to decrease. E. Based on the correlation, there does not appear to be any relationship between chilcren's eges and the number of words in their vocabulary F. As age increases, the number of words in children's vocabulary tends to increase.. (d) Use the table of critical values for the Pearson correlation coefficient to make a conclusion about the correlation coefficient: Let à= 0.01 The critical value is. Therefore, there sufficient evidence at the 1% level of significarce to conclude that (Round to three docimal places as needed.) O O

(b) Calculate the sample correlation coefficient r. (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 linear correlation. Interpret the corrolation. Choose the correct answer below. O A. As age increases, the number of words in children's vocabulary tends to decrease. B. Aging causes the number of words in children's vocabulary to increase. C. Based on the correlation, there does not appear to be a linear relationship between children's ages and the nümber of words in their vocabulary D. Aging causes the number of words in children's vocabulary to decrease. E. Based on the correlation, there does not appear to be any relationship between chilcren's eges and the number of words in their vocabulary F. As age increases, the number of words in children's vocabulary tends to increase.. (d) Use the table of critical values for the Pearson correlation coefficient to make a conclusion about the correlation coefficient: Let à= 0.01 The critical value is. Therefore, there sufficient evidence at the 1% level of significarce to conclude that (Round to three docimal places as needed.) O O

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Concept explainers

Correlation

Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.

Linear Correlation

A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.

Regression Analysis

Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.

Question

The accompanying table shows the ages (in years) of 11 children and the numbers of words in their vocabulary. Complete parts (a) through (d) below.
Click here to view the data table. Click here to view the table of critical values for the Pearson correlation coefticient
(a) Display the data in a scatter plot. Choose the correct graph below.
O A.
OB.
Oc.
OD.
3000-
2400-
* 1800-
3000-
2400
E 1800-
1200-
600
6-
Q
4-
4
1200-
2-
600-
0-
1500
Age (years)
3000
1500
Age years)
0 +++->
0 2 4 6 8
Age (years)
3000
0 2 4 6 8
Age (years)
(b) Calculate the sample correlation coefficient r.
(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
linear correlation.
Interpret the correlation. Choose the correct answer below.
O A. As age increases, the number of words in children's vocabulary tends to decrease.
O B. Aging causes the number of words in children's vocabulary to increase.
O č. Based on the correlation, there does not appear to be a linear relationship between children's ages and the number of words in their vocabulary
Anina coucos the numhor of unrde in childonnle mhrilans to orece

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Plz help asap, I need the sample correlation coefficient r, type of correlation, interpret the correlation, and use the table of crit values to make a conclusion.
A professor went to a website for rating professors and looked up the quality rating and also the "easiness" of the six full-time professors in one department. The ratings are 1 (lowest quality) to 5 (highest quality) and 1 (hardest) to 5 (easiest). The numbers given are averages for each professor. Assume the trend is linear, find the correlation, and comment on what it means. Calculate the correlation. r = (Round to three decimal places as needed.) Comment on the meaning of the correlation. Choose the correct interpretation below. OA. The professors that have high easiness scores tend to also have low quality scores.. OB. Being "easy" as a professor causes students to regard the professor as having a higher quality. OC. The professors that have high easiness scores tend to also have high quality scores. OD. Being "easy" as a professor causes students to regard the professor as having a lower quality. Quality Easiness D 4.7 3.7 4.7 3.1 4.2 3.5 4.2 2.6 3.9 1.9 3.5 1.8
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please solve the rest
Which scatter plot shown has the strongest negative correlation?
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Let x be the average number of employees in a group health insurance plan, and let y be the average administrative cost as a percentage of claims. x 3 7 15 32 75 y 40 35 30 26 18 (a) Make a scatter diagram of the data and visualize the line you think best fits the data. Flash Player version 10 or higher is required for this question. You can get Flash Player free from Adobe's website. (b) Would you say the correlation is low, moderate, or strong? positive or negative? strong and negative moderate and negative strong and positive low and negative low and positive moderate and positive (c) Use a calculator to verify that Σx = 132, Σx2 = 6932, Σy = 149, Σy2 = 4725, and Σxy = 2997. Compute r. (Round your answer to three decimal places.)r = As x increases, does the value of r imply that y should tend to increase or decrease? Explain. Given our value of r, we cannot draw any conclusions for the behavior of y as x increases. Given our value of r, y should tend to…
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answer please
A, B, C, or D?