Studies suggest that women who smoke during pregnancy affect the birth weights of their newborn infants. To study this issue further, a sample of 10 women smokers were asked to estimate the average number of cigarettes they smoke per day. In the following table are their estimates and the birth weight (in kgs) of their child. Average Number of Cigarettes per day Birth Weight of Child (in kilograms) 22 2.91 16 3.27 4 3.68 19 3.14 42 2.32 8 3.82 12 3.45 30 2.95 14 3.00 16 3.68 (a) Find the least squares estimate of the linear model that expresses the birth weight of a child as a linear function of the average number of cigarettes mom consumes in a day. Use four decimals in each of your answers. Y^i = __________ +/- _____________ Xi (b) Find the value of the coefficient of determination, then complete its interpretation. r2= _____________ (use four decimals) The percentage of  A. Variation B. Standard deviation C. The mean in A. the birth weight of the child B. The average number of cigarettes consumed in a day by the mother that is explained by its linear relationship with A. the birth weight of the child B. The average number of cigarettes consumed in a day by the mother is ________ %. (c) Interpret the meaning of the slope term in the estimate of the linear model, in the context of the data. As A. birth weight B. The number of cigarettes consumed in a day increases by A. by one on average B. by one kilogram the A. birth weight B. The number of cigarettes consumed in a day will         A. will increase by an average of B. will decrease by an average of C. will increase by D. will decrease by ____________ (use four decimals) (d) A expecting mother, who smokes, claims to smoke an average of 20 cigarettes in a day. Predict the weight of her newborn. Use two decimals in your answer. ______________ kilograms (e) The weight of the child born to the expecting mother mentioned in (e) was 4.2 kilograms. Find the residual, use two decimals.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question

Please solve c, d, & e only

Studies suggest that women who smoke during pregnancy affect the birth weights of their newborn infants. To study this issue further, a sample of 10 women smokers were asked to estimate the average number of cigarettes they smoke per day. In the following table are their estimates and the birth weight (in kgs) of their child.

Average Number of Cigarettes per day Birth Weight of Child (in kilograms)
22 2.91
16 3.27
4 3.68
19 3.14
42 2.32
8 3.82
12 3.45
30 2.95
14 3.00
16 3.68



(a) Find the least squares estimate of the linear model that expresses the birth weight of a child as a linear function of the average number of cigarettes mom consumes in a day. Use four decimals in each of your answers.

Y^i = __________ +/- _____________ Xi

(b) Find the value of the coefficient of determination, then complete its interpretation.

r2= _____________ (use four decimals)

The percentage of 

A. Variation

B. Standard deviation

C. The mean

in

A. the birth weight of the child

B. The average number of cigarettes consumed in a day by the mother

that is explained by its linear relationship with

A. the birth weight of the child

B. The average number of cigarettes consumed in a day by the mother

is ________ %.

(c) Interpret the meaning of the slope term in the estimate of the linear model, in the context of the data.

As

A. birth weight

B. The number of cigarettes consumed in a day

increases by

A. by one on average

B. by one kilogram

the

A. birth weight

B. The number of cigarettes consumed in a day

will        

A. will increase by an average of
B. will decrease by an average of
C. will increase by
D. will decrease by
____________ (use four decimals)


(d) A expecting mother, who smokes, claims to smoke an average of 20 cigarettes in a day. Predict the weight of her newborn. Use two decimals in your answer.

______________ kilograms


(e) The weight of the child born to the expecting mother mentioned in (e) was 4.2 kilograms. Find the residual, use two decimals.

ei=_______________

Expert Solution
steps

Step by step

Solved in 3 steps with 4 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman