This problem is based on a random sample of data collected in a study entitled \

Question

This problem is based on a random sample of data collected in a study entitled "An Investigation of the Development of the Sentence and the Extent of Vocabulary in Young Children." SAS computer output for the regression of vocabulary size (Y) on age (X), is shown below. You will need the output for some of parts a-e below. The REG Procedure Model: MODEL1 Dependent Variable: voc_sIZE Number of Observations Read Number of Observations Used 15 15 Analysis of Variance Source Model Error Corrected Total Sum of Squaros 12414322 285025 12099346 DF Pr> F 566.22 It/ DF Variable Intercept 8.38 23.80 c,0001 a. State the simple linear regression model for the regression of vocabulary (Y) on age (X, in years). b. Determine the ANOVA table and parameter estimates for the regression by hand, using the data shown below. Compare your answers with the SAS output.

Explanation / Answer

Note: You have given the same SAS output three times , No raw data is given.

a) The linear regression model for the regression of vocabulary (Y) on age (X) is

Y = -621.12595+526.71836 X

b) In order to verify the ANOVA table and esimates of SAS output , it needs the raw data.

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