Suppose a doctor measures the height, x, and head circumference, y, of 8 childre

Question

Suppose a doctor measures the height, x, and head circumference, y, of 8 children and obtains the data below. The correlation coefficient is 0.813 and the least squares regression line is y 0.190x + 12.220. Complete parts (a) through (c) below. Height, x Head Circumference, y 173 17.0 172 17.1 17.6 17.1 172 17.4 174 173 17.3 (a) Compute the coefficient of determination, R2 27 25.5 26.25 25.5 27.25 26.25 25.75 27.25 26.75 27.25 27.25 R. LIN (Round to one decimal place as needed.) (b) Interpret the coefficient of determination and comment on the adequacy of the linear model Approximately 1% of the variation in appears to be Round to one decimal place as needed.) is explained by the least-squares regression model. According to the residual plot, the linear model

Explanation / Answer

We are allowed to do 1 question at a time. Post again for second question.

a) R square is also called coefficient of determination. Multiply R times R to get the R square value. In other words Coefficient of Determination is the square of Coefficeint of Correlation.

R^2 = 0.813^2 = 0.661 or 66.1%

b) approx 66.1% of the variation in Head circumference

Model appears to be reasonable.

b)

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