QUESTION 4 A researcher is going to conduct a regression line and created the following scatter plot that relates the dependent variable (y) to the independent variable (x) Scatterplot of y vs X B000 6000 4000 2000 10 20 30 40 50 70 80 Explain why it might not be a good idea to make inference using regression line in this situation? Explain and list what assumption would be inappropriate?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.4: Definition Of The Derivative
Problem 50E
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QUESTION 4
A researcher is going to conduct a regression line and created the following scatter plot
that relates the dependent variable (y) to the independent variable (x)
Scatterplot of y vs X
B000
0000
4000 -
2000
10
20
30
40
50
60
70
80
90
Explain why it might not be a good idea to make inference using regression line in this
situation? Explain and list what assumption would be inappropriate?
Question Sheet End –
3/3
8-
Transcribed Image Text:QUESTION 4 A researcher is going to conduct a regression line and created the following scatter plot that relates the dependent variable (y) to the independent variable (x) Scatterplot of y vs X B000 0000 4000 - 2000 10 20 30 40 50 60 70 80 90 Explain why it might not be a good idea to make inference using regression line in this situation? Explain and list what assumption would be inappropriate? Question Sheet End – 3/3 8-
QUESTION 3
An environmental researcher conducts an experiment on the usage of particular
chemical to a species of plant in order to see the plant growth. A species of plant is
given a drip feed containing a particular chemical and its concentration in the plant
vessel is measured in suitable units, at one hour intervals. The researcher believe that a
linear relationship will exist between the variables.
Time, x (hours)
Concentration, y
2
4
5
6
2.4
4.3
5.0
6.9
9.1
11.4
13.5
i.
Construct a scatter plot between the variables.
ii.
Compute the value of the correlation coefficient.
What is the linear relationship between the variables?
iv.
i.
Find the equation of the regression line.
Estimate the concentration of the chemical in the plant vessel after 3.5
hours.
V.
Transcribed Image Text:QUESTION 3 An environmental researcher conducts an experiment on the usage of particular chemical to a species of plant in order to see the plant growth. A species of plant is given a drip feed containing a particular chemical and its concentration in the plant vessel is measured in suitable units, at one hour intervals. The researcher believe that a linear relationship will exist between the variables. Time, x (hours) Concentration, y 2 4 5 6 2.4 4.3 5.0 6.9 9.1 11.4 13.5 i. Construct a scatter plot between the variables. ii. Compute the value of the correlation coefficient. What is the linear relationship between the variables? iv. i. Find the equation of the regression line. Estimate the concentration of the chemical in the plant vessel after 3.5 hours. V.
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