Answer these question D only The accompanying table shows the ages (in years) of 11 children and the numbers of words in their vocabulary. Complete parts (a) through (d)Click here to view the data table. Click here to view the table of critical values for the Pearson correlation coeficient.Age, xVocabulary size, y D1.....3(U) vdILuidte uie sdilpie coneiauUI LueLIen I.260i= 0.974(Round to three decimal places as needed.)5204.11002300(c) Describe the type of correlation, if any, and interpret the correlation in the context of the data.6.2600There isa strong positive linear correlation.36102100Interpret the correlation. Choose the correct answer below.225041400O A. Based on the correlation, there does not appear to be any relationship between children's ages and the number of words in their vocabu6.2400OB. As age increases, the number of words in children's vocabulary tends to increase.O C. Based on the correlation, there does not appear to be a linear relationship between children's ages and the nO D. Aging causes the number of words in children's vocabulary to decrease.DonePrintO E. As age increases, the number of words in children's vocabulary tends to decrease.there is a significant linear correlationOF. Aging causes the number of words in children's vocabulary to increase.there is no correlation(d) Use the table of critical values for the Pearson correlation coefficient to make a conclusion about the correlationV between children's ages and the number of words in their vocabularyThe critical value is. Therefore, there(Round to three decimal places as needed.)V sufficient evidence at the 1% level of significance to conclude thatClear allCheck answerView an exampleGet more help -Help me solve this7:49 AM62°F Partly sunny11/16/2021O Type here to search ne accompanying table shows the ages (in years) of 11 children and the numbers of words in their vocabulary. Complete parts (a) through (d)lick here to view the data table. Click here to view the table of critical values for the Pearson correlation coefficient.Age, xVocabulary size, y.....J CaILuidie ule Sdiipie coITeiduuii LuelicieIL I.12.260= 0.974Round to three decimal places as needed.)352041100(c) Describe the type of correlation, if any, and interpret the correlation in the context of the data.23002600There is a strong positive linear correlation.36102100Interpret the correlation. Choose the correct answer below.25041400O A. Based on the correlation, there does not appear to be any relationship between children's ages and the number of words in their vocabu62400OB. As age increases, the number of words in children's vocabulary tends to increase.O C. Based on the correlation, there does not appear to be a linear relationship between children's ages and the number of words in their vodO D. Aging causes the number of words in children's vocabulary to decrease.PrintDoneO E. As age increases, the number of words in children's vocabulary tends to decrease.OF. Aging causes the number of words in children's vocabulary to increase.(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 between children's ages and the number of words in their vocabulary.The critical value is Therefore, theresufficient evidence at the 1% level of significance to conclude that(Round to three decimal places as needed.)Clear allCheck answerView an exampleGet more help -Help me solve this7:48 AM62°F Partly sunny11/16/2021aO Type here to search

Solution: Given information: n = 11 observation Correlation coefficient r= 0.974432 From Excel Correlation coefficient r= 0.974. Level of significance α=0.01 d) To test the hypothesis Ho:ρ=0 VS Ha:ρ≠0 The critical value at α=0.01 is 0.735 From critical value table The critical value is 0.735 Conclusion: The absolute value of the correlation coefficient is greater than the critical value. ( 0.974 > 0.735) Reject the null hypothesis, There is sufficient evidence to conclude that there is significant linear correlation between children ages and the number of words in their vocabularry. The critical value is 0.735. Therefore is sufficient evidence at the 1% level of significance to conclude that there is significant linear correlation between children ages and the number of words in their vocabularry.

The accompanying table shows the ages (in years) of 11 children and the numbers of words in their vocabulary. Complete parts (a) through (d) Click here to view the data table. Click here to view the table of critical values for the Pearson correlation coefficient Age, x Vocabulary size, y U vaIuide uie saiipe LUITeiduuiI LueILIenI. 260 i= 0.974 (Round to three decimal places as needed.) 520 4 1100 2300 (c) Describe the type of correlation, if any, and interpret the correlation in the context of the data. 2600 There is a strong positive linear correlation. 610 2100 Interpret the correlation, Choose the correct answer below. 250 2 4 1400 O A. Based on the correlation, there does not appear to be any relationship between children's ages and the number of words in their vocabu 2400 OB. As age increases, the number of words in children's vocabulary tends to increase. O C. Based on the correlation, there does not appear to be a linear relationship between children's ages and the n O D. Aging causes the number of words in children's vocabulary to decrease. Done Print O E. As age increases, the number of words in children's vocabulary tends to decrease. there is a significant linear correlation OF. Aging causes the number of words in children's vocabulary to increase. there is no correlation (d) Use the table of critical values for the Pearson correlation coefficient to make a conclusion about the correlation V between children's ages and the number of words in their vocabula Therefore, there V sufficient evidence at the 1% level of significance to conclude that The critical value is (Round to three decimal places as needed.)

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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