The accompanying data on x = head circumference z score (a comparison data score

Question

The accompanying data on x = head circumference z score (a comparison data score with peers of the same age - a positive score suggests a larger size than for peers) at age 6 to 14 months and y = volume of cerebral grey matter (in ml) at age 2 to 5 years were read from a graph in an article. What is the value of the correlation coefficient? (Give the answer to two decimal places.) Find the equation of the least-squares line. (Give the answer to two decimal places.) Predict the volume of cerebral grey matter for a child whose head circumference z score at age 12 months was 1.7. (Give the answer to two decimal places.)

Explanation / Answer

We can solve this question using excel.

First enter data into excel.

Click on Data -------> Data Analysis --------> Regression ------->

Input

Input Y Range : select y values

Input X Range :select values of x.

Output Range : select any empty cell

---------> ok

We get value of slope and intercept

The equation of the least square line is y = 712.37 + 32.94 * x

Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0% Intercept 712.37 15.99468 44.53777 3.31E-18 678.4602 746.2746 678.4602 746.2746 X Variable 1 32.94 7.441846 4.426861 0.000423 17.16801 48.72003 17.16801 48.72003

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