Problem 11.57dc: Report your reasoning and conclusion

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter5: A Survey Of Other Common Functions
Section5.3: Modeling Data With Power Functions
Problem 6E: Urban Travel Times Population of cities and driving times are related, as shown in the accompanying...
icon
Related questions
Question

I NEED q6 ANSWER

OTHER PIC IS JUST FOR REFERENCE 

Ag.
11.57 A researcher conducts an experiment to examine the relationship between the weight
gain of chickens whose diets had been supplemented by different amounts of the amino acid
lysine and the amount of lysine ingested. Since the percentage of lysine is known and we can
monitor the amount of feed consumed, we can determine the amount of lysine eaten. A random
sample of 12 2-weck-old chickens was selected for the study. Each was caged separately and was
allowed to cat at will from feed composed of a base supplemented with lysine. The sample data
summarizing weight gains and amounts of lysine eaten over the test period are given here. (In the
data, y represents weight gain in grams, and x represents the amount of lysine ingested in grams.)
a. From the scatterplot of the data, does a lincar model seem appropriate?
b. Compute the estimated linear regression model ŷ = B, + B,x.
Weight Gain, Lysine Ingested,
y (in grams)
Weight Gain, Lysine Ingested,
y (in grams)
Chick
x (in grams)
Chick
x (in grams)
1
14.7
09
7
17.2
.11
2
17.8
.14
18.7
.19
3
19.6
.18
20.2
23
18.4
.15
10
16.0
.13
5
20.5
.16
11
17.8
.17
21.1
23
12
19.4
21
11.58 Refer to Exercise 11.57.
a. Estimate o.
b. Compute the standard error of B,.
c. Conduct a statistical test of the rescarch hypothesis that for this diet preparation
and length of study, there is a direct (positive) linear relationship between weight
gain and amount of lysine eaten.
11.59 Refer to Exercise 11.57.
a. For this exercise, would it make sense to give any physical interpretation to B,?
(Hint: The lysine was mixed in the feed.)
b. Consider an alternative model relating weight gain to amount of lysine ingested:
y = Bix +e
Distinguish between this model and the model y = Bo + Bix + e.
11.60 a. Refer to part (b) of Exercise 11.59. Obtain 8, for the model y = B,x + e, where
Exy
b. Which of the two models, y Bo+ Bix + c or y Bx + e, appears to give a
better fit to the sample data? (Hint: Examine the two prediction equations on a
graph of the sample observations.)
比
Transcribed Image Text:Ag. 11.57 A researcher conducts an experiment to examine the relationship between the weight gain of chickens whose diets had been supplemented by different amounts of the amino acid lysine and the amount of lysine ingested. Since the percentage of lysine is known and we can monitor the amount of feed consumed, we can determine the amount of lysine eaten. A random sample of 12 2-weck-old chickens was selected for the study. Each was caged separately and was allowed to cat at will from feed composed of a base supplemented with lysine. The sample data summarizing weight gains and amounts of lysine eaten over the test period are given here. (In the data, y represents weight gain in grams, and x represents the amount of lysine ingested in grams.) a. From the scatterplot of the data, does a lincar model seem appropriate? b. Compute the estimated linear regression model ŷ = B, + B,x. Weight Gain, Lysine Ingested, y (in grams) Weight Gain, Lysine Ingested, y (in grams) Chick x (in grams) Chick x (in grams) 1 14.7 09 7 17.2 .11 2 17.8 .14 18.7 .19 3 19.6 .18 20.2 23 18.4 .15 10 16.0 .13 5 20.5 .16 11 17.8 .17 21.1 23 12 19.4 21 11.58 Refer to Exercise 11.57. a. Estimate o. b. Compute the standard error of B,. c. Conduct a statistical test of the rescarch hypothesis that for this diet preparation and length of study, there is a direct (positive) linear relationship between weight gain and amount of lysine eaten. 11.59 Refer to Exercise 11.57. a. For this exercise, would it make sense to give any physical interpretation to B,? (Hint: The lysine was mixed in the feed.) b. Consider an alternative model relating weight gain to amount of lysine ingested: y = Bix +e Distinguish between this model and the model y = Bo + Bix + e. 11.60 a. Refer to part (b) of Exercise 11.59. Obtain 8, for the model y = B,x + e, where Exy b. Which of the two models, y Bo+ Bix + c or y Bx + e, appears to give a better fit to the sample data? (Hint: Examine the two prediction equations on a graph of the sample observations.) 比
QUESTION 6
Problem 11.57dc: Report your reasoning and conclusion
Hint: L-24: p 7 (Ex. 11.65cc)
O 1. p-value>0.053Da → Fail to reject Ho: There is
fa relationship
significant evidenc
between the independent and the
dependent variable.
II. p-value>0.053Da → Fail to reject Ho: There is
insufficient evidence of a relationship
between the independent and the
dependent variable.
II. p-value<0.05=Da → Reject Ho: There is
insufficient evidence of a relationship
between the independent and the
dependent variable.
O IV. p-value<0.05=a → Reject Ho: There is
significant evidence of a relationship between
the independent and the dependent variable.
Transcribed Image Text:QUESTION 6 Problem 11.57dc: Report your reasoning and conclusion Hint: L-24: p 7 (Ex. 11.65cc) O 1. p-value>0.053Da → Fail to reject Ho: There is fa relationship significant evidenc between the independent and the dependent variable. II. p-value>0.053Da → Fail to reject Ho: There is insufficient evidence of a relationship between the independent and the dependent variable. II. p-value<0.05=Da → Reject Ho: There is insufficient evidence of a relationship between the independent and the dependent variable. O IV. p-value<0.05=a → Reject Ho: There is significant evidence of a relationship between the independent and the dependent variable.
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Recommended textbooks for you
Functions and Change: A Modeling Approach to Coll…
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax