1.Distinguish between explanatory and response variables. 2.Describe the relatio
ID: 3376141 • Letter: 1
Question
1.Distinguish between explanatory and response variables.
2.Describe the relationship between two quantitative variables using the following
a.Scatterplot(Strength, Direction, Form)
b.Correlation Coefficient(Be able to calculate in R,Know properties. )
c.Least square regression equation(Describe the change of y with a change in x using the estimated slope)
3.Know the symbols and meanings for the parameters and their statistics.
4.Calculate a predicted y value given a value of x.
5.Define and calculate residual.
6.Plot and interpret a residual plot.
7.Know and understand the conditions for simple linear regression.
8.Perform a significance test for the slope
a.Know the null and alternative hypotheses.
b.Calculate the test statistic.
c.Know degrees of freedom.
d.Make a conclusion based on a significance level and the p-value.
e.Make a conclusion in terms of the alternative.
9.Calculate and interpret a confidence interval for the slope.
10.Calculate and interpret a confidence and prediction interval for the response y.
11.Understand other issues with regression like extrapolation, lurking variables and influential outliers.
You will need to define terms and describe how to meet each outcome in your own words. To better understand your task, I suggest you start by making each outcome a question by adding a statement like: “How would you… ?” or “ In what ways can one… ?”. For full credit you must include each outcome and you must have reasonably correct answers for each.
Explanation / Answer
1)
The response variable is the variable which is the main focus of a question in an experiment and it always paired with one or more explanatory variable.
Explanatory variable explains changes in the response variable and it can be anything which affects response variable.
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