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-week-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 lincar regression model ý - B, + B, x. Weight Gain, Lysine Ingested, Weight Gain, Lysine Ingested, x (in grams) y (in grams) x (in grams) Chick Chick y (in grams) 1 14.7 09 7 17.2 .11 17.8 .14 18.7 .19 19.6 .18 20.2 23 18.4 15 10 16.0 .13 20.5 .16 11 17.8 .17 21.1 23 12 19.4 21 234 S6

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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QUESTION 1
Problem 11.57ba: Provide a point estimate for the slope.
Use 2 decimals for your answer
Hint: L-24: p 4 (Ex. 11.65b)
Transcribed Image Text:QUESTION 1 Problem 11.57ba: Provide a point estimate for the slope. Use 2 decimals for your answer Hint: L-24: p 4 (Ex. 11.65b)
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 122-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 linear model seem appropriate?
b. Compute the estimated linear regression model ŷ = B, + B,x.
Weight Gain, Lysine Ingested,
Weight Gain,
y (in grams)
Lysine Ingested,
x (in grams)
y (in grams)
* (in grams)
Chick
Chick
1
14.7
09
7
17.2
.11
2
17.8
.14
18.7
.19
3
19.6
.18
20.2
23
4.
18.4
.15
10
16.0
.13
20.5
.16
11
17.8
.17
6.
21.1
23
12
19.4
21
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 122-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 linear model seem appropriate? b. Compute the estimated linear regression model ŷ = B, + B,x. Weight Gain, Lysine Ingested, Weight Gain, y (in grams) Lysine Ingested, x (in grams) y (in grams) * (in grams) Chick Chick 1 14.7 09 7 17.2 .11 2 17.8 .14 18.7 .19 3 19.6 .18 20.2 23 4. 18.4 .15 10 16.0 .13 20.5 .16 11 17.8 .17 6. 21.1 23 12 19.4 21
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