Arm circumferences​ (cm) and heights​ (cm) are measured from randomly selected adult females. The 146pairs of measurements yield x=34.69​cm, y=163.25cm, r=0.075​, P-value=0.368​, and y=157+0.1826x. Find the best predicted value of y ​(height) given an adult female with an arm circumference of 40.0cm. Let the predictor variable x be arm circumference and the response variable y be height. Use a 0.05 significance level.   The best predicted value is ____cm.

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.