(a) Give the standard error of the slope, SEb. Interpret this value in context. (b) Find the critical value for a 90% confidence interval for the slope of the true regression line. Then calculate the confidence interval. Show your work. (c) Interpret the interval from part (b) in context.
Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
Prey attracts predators Refer to Exercise 6.
(a) Give the standard error of the slope, SEb. Interpret this value in context.
(b) Find the critical value for a 90% confidence interval for the slope of the true regression line. Then calculate the confidence interval. Show your work.
(c) Interpret the interval from part (b) in context.
(d) Explain the meaning of “90% confident” in context.
![| The explanatory variable is the number of perch (the
4. Prey attracts predators Here is one way in which
nature regulates the size of animal populations: high prey) in a confined area. The response variable is the
population density attracts predators, which remove
a higher proportion of the population than when
the density of the prey is low. One study looked at
kelp perch and their common predator, the kelp
bass. The researcher set up four large circular pens
on sandy ocean bottoms off the coast of southern
California. He chose young perch at random from a a histogram of the residuals are shown below. Check
large group and placed 10, 20, 40, and 60 perch in
the four pens. Then he dropped the nets protecting
the pens, allowing bass to swarm in, and counted the
proportion of perch killed by bass (the predator) in two
hours when the bass are allowed access to the perch. A
scatterplot of the data shows a linear relationship.
We used Minitab software to carry out a least-squares
regression analysis for these data. A residual plot and
whether the conditions for performing inference
about the regression model are met.
0.4-
perch left after two hours. Here are data on the
proportions of perch eaten in four repetitions of this
setup:"
0.3
0.2
0.1
0.0
Number of Perch
Proportion Killed
-0.1
-0.2-
10
0.0
0.1
0.3
0.3
-0.3-
20
0.2
0.3
0.3
0.6
-0.4
10
20
30
Number of perch
40
50
60
40
0.075
0.3
0.6
0.725
60
0.517
0.55
0.7
0.817
JUST CHECK THE CONDITIONS!
-0.4 -0.3 -0.2 -0.1
0.0
0.1 0.2 0.3
Residual
jenpisa
Frequency](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F58a4d88c-f89e-4b2a-b08e-c0656bcefed9%2F04ded0e6-9252-4479-99c6-31fd3517af65%2F1ajgmc5_processed.png&w=3840&q=75)
![8. Prey attracts predators Refer to Exercise 6.
(a) Give the standard error of the slope, SE5, Interpret
this value in context.
(b) Find the critical value for a 90% confidence interval
for the slope of the true regression line. Then calcu-
late the confidence interval. Show your work.
(c) Interpret the interval from part (b) in context.
(d) Explain the meaning of "90% confident" in context.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F58a4d88c-f89e-4b2a-b08e-c0656bcefed9%2F04ded0e6-9252-4479-99c6-31fd3517af65%2Fbp3kmxn_processed.png&w=3840&q=75)
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