Based on the data shown below, calculate the correlation coefficient (rounded to three decimal places) y 3 29.25 25.42 22.49 17.96 17.33 8 12.2 4567 00

A pediatrician wants to determine the relation that may exist between a child's height and head circumference. She randomly selects 8 children from her practice, measures their height and head circumference, and obtains the data shown in the table. Complete parts (a) through (e) below. E Click here to see the Table of Critical Values for Correlation Coefficient. Height (in.) Head Circumference (in.) 27.5 17.2 25.5 17 26.25 17.1 25.25 17 27.5 17.6 26.25 17.4 25.75 17.1 26.75 17.4 (a) If the pediatrician wants to use height to predict head circumference, determine which variable is the explanatory variable and which is the response variable. Choose the correct answer below. The explanatory variable is head circumference and the response variable is height. The explanatory variable is height and the response variable is head circumference.

The following sample observations were randomly selected: X Y 5 4 10 7 3 7 4 6 6 5 What is the coefficient of correlation? Select one: a. 0.185 b. 0.001 c. 0.034 d. 0.089

Write a report using Word. Cover the following topics. This file contains some information about different cars. Car Weight (pounds), x Miles per Gallon, y A 2750 31.5 B 3120 27.9 C 3385 23.7 D 3740 23.3 E 4225 21   Create a scatterplot for the data in the Weight and Braking columns. Paste it here. a)    Using StatCrunch or TI 83/84 to calculate the linear correlation between the data in the Weight and MPG columns. b)    Explain the mathematical relationship between Weight and MPG based on the linear correlation coefficient. Be certain to include comments about the magnitude and the direction of the correlation. c)   Write the equation for the least-squares regression line if there is one. d)   Predict the miles per gallon of car C and compute the residual.