Calculate residual based on observed head circumference of

Assignment Help Mathematics

Reference no: EM13473897

A pediatrician want to determine the relation that exists between a child's height, x, and head circumference, y. She randomly selects 11 children from her practice, measures their heights and head circumferences and obtains the accompanying data. Complete parts (a) through (g).

Data table. In inches

Height, x Head Circumference, y Height, x Head Circumference, y

27.75 17.7 27 17.3

24.7 17.1 27.5 17.5

25.5 17.1 26.75 17.3

25.5 17.3 26.75 17.5

25 16.9 27.5 17.5

27.75 17.6

(a) Find the least -squares regression line treating height as the explanatory variable and head circumference as the response variable.

The least squares regression line is Y= (......) X + (......)(Round to four decimal places as needed)

(b) Interpret the slope and y-intercept, if appropriate.

(d) Compute the residual based on the observed head circumference of the 25-inch-tall child in the table. Is the head circumference of child above average or below average?

(Residual=observed y - predicted y = y- Y

(e) Draw the least squares regression line on the scatter diagram of the data and label the residual from part (d).

(f) Notice that two children are 27 inches tall. One has a head circumference 17.7 inch and other has a head circumference 17.3 inch. How can this be?

Would it be reasonable to use the least-squares regression line to predict the head circumference of a child who was 34 inches tall.

Reference no: EM13473897

Questions Cloud

Import export procedure difference between heavy lift : difference between heavy lift surcharge and long lift surchargedifference between heavy lift surcharge and long lift

Prepare an analysis of the market to present to bob and his : bob is the largest motorcycle dealer in miami-dade county. his business sold 1523 motorcycles in 2012 and has been

Can you recognize and reduce the likelihood of barriers : identify what techniques you can implement to improve the likelihood that your communications will be received and

Write down a memo to your manager which explains the web : read the following scenarioyour manager wants to use web conferencing to hold weekly status meetings but has not

Calculate residual based on observed head circumference of : a pediatrician want to determine the relation that exists between a childs height xnbsp and head circumference y. she

The internet significantly influenced business and : the internet significantly influenced business and strategic planning. in your opinion according to porters five forces

The laws of man are secondary to the laws of nature and : which of the following is most consistent with the natural law school of jurisprudence?a. the laws of man are secondary

Write a 1000-word response to the ativity 4 how do family : write a 1000-word response to the ativity 4 how do family traditions and cultural legacies contribute to andor inhibit

Create a budget to aid in determining the need for a piece : create a budget to aid in determining the need for a piece of laboratory equipment. what are the considerations in

User Account

All Pages