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 coefficient. (a) Display the data in a scatter plot. Choose the correct graph below. O A. O B. OC. OD. 3000- 8 2400- 3000- 2400- 1800- 1200- 1800- 600- Data Table 1500 Age (years) 0- 0 2 4 6 Age (years) 3000 (b) Calculate the sample correlation coefficien Age, x Vocabulary size, y 1 4 2 210 (Round to three decimal places as needed.) 3 540 (c) Describe the type of correlation, if any, and 1200 5 2100 There is linear correlation 6 2500 Interpret the correlation. Choose the correct a 3 720 5 2200 O A. As age increases, the number of word 2 280 4 1100 hber of words in their vocabulary. humber of words in their vocabulary O B. Based on the correlation, there does n OC. Based on the correlation, there does n O D. Aging causes the number of words in O E. Aging causes the number of words in OF. As age increases, the number of wordsThmarens votabulaly tenus to decease. 2300 Print Done Vocabulary size Vocabulary size Vocabulary size

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 coefficient. (a) Display the data in a scatter plot. Choose the correct graph below. O A. O B. OC. OD. 3000- 8 2400- 3000- 2400- 1800- 1200- 1800- 600- Data Table 1500 Age (years) 0- 0 2 4 6 Age (years) 3000 (b) Calculate the sample correlation coefficien Age, x Vocabulary size, y 1 4 2 210 (Round to three decimal places as needed.) 3 540 (c) Describe the type of correlation, if any, and 1200 5 2100 There is linear correlation 6 2500 Interpret the correlation. Choose the correct a 3 720 5 2200 O A. As age increases, the number of word 2 280 4 1100 hber of words in their vocabulary. humber of words in their vocabulary O B. Based on the correlation, there does n OC. Based on the correlation, there does n O D. Aging causes the number of words in O E. Aging causes the number of words in OF. As age increases, the number of wordsThmarens votabulaly tenus to decease. 2300 Print Done Vocabulary size Vocabulary size Vocabulary size

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

100%

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 coefficient.
(a) Display the data in a scatter plot. Choose the correct graph below.
O A.
O B.
OC.
OD.
3000-
8 2400-
3000-
2400-
1800-
1200-
1800-
600-
Data Table
1500
Age (years)
0-
0 2 4 6
Age (years)
3000
(b) Calculate the sample correlation coefficien
Age, x
Vocabulary size, y
1
4
2
210
(Round to three decimal places as needed.)
3
540
(c) Describe the type of correlation, if any, and
1200
5
2100
There is
linear correlation
6
2500
Interpret the correlation. Choose the correct a
3
720
5
2200
O A. As age increases, the number of word
2
280
4
1100
hber of words in their vocabulary.
humber of words in their vocabulary
O B. Based on the correlation, there does n
OC. Based on the correlation, there does n
O D. Aging causes the number of words in
O E. Aging causes the number of words in
OF. As age increases, the number of words m timarens votabulary tenus to deciease.
2300
Print
Done
(d) Use the table of critical values for the Pearson correlation coefficient to make a conclusion about the correlation coefficient. Let a = 0.01.
The critical value is
. Therefore, there
sufficient evidence at the 1% level of significance to conclude that
between children's ages and the number of words in their vocabulary.
(Round to three decimal places as needed.)
Vocabulary size
Vocabulary size
Vocabulary size

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