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Maricel wanted to compare the number of vocabulary words a child knows about the solar system to their age. She has a random sample of 6 children of various ages. She fit an LSRL to the data. The residual plot and part of the computer output are shown below.

Maricel wanted to compare the number of vocabulary words a child knows about the solar system to their age. She has a random sample of 6 children of various ages. She fit an LSRL to the data. The residual plot and part of the computer output are shown below.

MATLAB: An Introduction with Applications
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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Maricel wanted to compare the number of vocabulary words a child knows about the solar system to their age. She has a random sample of 6 children of various ages. She fit an LSRL to the data. The residual plot and part of the computer output are shown below. Predictor Constant Age S = 0.9710 RESID Coef SE Coef 3.371 1.337 2.1143 0.2321 0.0 -1.2 R-Sq = 95.4% 3.6 X 4.8 X X 6.0 X T 2.52 9.11 7.2 R-Sq(adj)= 94.3% X P Age 0.065 0.001 (a) What is the equation of the LSRL? (b) What is the predicted number of words for a child of 6.5 years of age? (c) Interpret the slope of the regression line the context of the problem. (d) Is the line an appropriate model for these data? Explain.
Transcribed Image Text:Maricel wanted to compare the number of vocabulary words a child knows about the solar system to their age. She has a random sample of 6 children of various ages. She fit an LSRL to the data. The residual plot and part of the computer output are shown below. Predictor Constant Age S = 0.9710 RESID Coef SE Coef 3.371 1.337 2.1143 0.2321 0.0 -1.2 R-Sq = 95.4% 3.6 X 4.8 X X 6.0 X T 2.52 9.11 7.2 R-Sq(adj)= 94.3% X P Age 0.065 0.001 (a) What is the equation of the LSRL? (b) What is the predicted number of words for a child of 6.5 years of age? (c) Interpret the slope of the regression line the context of the problem. (d) Is the line an appropriate model for these data? Explain.
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