uppose a doctor measures the height x, and head circumlerenoe, y, of 11 childven

Question

uppose a doctor measures the height x, and head circumlerenoe, y, of 11 childven and obtains the data below. The comelation coefticient is 0.789 and the least squares regression line is y 0.114x 14.244 Complete parts (a) and (b) below Heightx 7.75 24.5 26.75 25 25 27.5 26.25 25.75 26.75 27 27 27 Head Circumierence,y 17.3 171 17.2 170 17.5 173 172 17A 17.4 173 17.3 (a) Compute the coeficient of dehermination, R2 R2 . 62.3 % (Round to ore decimal place as needed) (bl Interpret the coefficient of detemination Appreximatelys of the vanation is explained by the least-squares regression mode Round to one decimal place as neede head circumference height

Explanation / Answer

Solution:

Correlation of determination=(correlation of coefficient)^2

=(0.789)^2 =0.6225 or 62.3%

Solution(b)

Approximately 62.3% of the variation in head circumference is explained by the least squares regression model.

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