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School
Arizona State University **We aren't endorsed by this school
Course
MAT MISC
Subject
Statistics
Date
Sep 1, 2023
Pages
1
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Suppose a doctor measures the height, x, and head circumference, y, of 8 children and obtains the data below. The correlation coefficient is 0.910 and the least squares regression line isy=0.277x + 9.858. Complete parts (a) and (b) below. Height, x 27.5 25.75 26.25 25.75 27.5 26.25 26.25 27 27.25 26.75 27.25 3, Head Circumference,y 17.3 169 17.2 17.0 176 172 171 174 174 173 174 (a) Compute the coefficient of determination, R%. R®= 828 % (Round to one decimal place as needed.) (b) Interpret the coefficient of determination and comment on the adequacy of the linear model. Approximately 82.8 % of the variation in head circumference is explained by the least-squares regression model. According to the residual plot, the linear model appears to be appropriate. (Round to one decimal place as needed.)
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