A linear regression between Y and X produced the following equation for the least squares line: Y hat = 2.15 - 3.2x

Which of the following statements concerning this relationship is true?

a. For every one-unit increase in X, Y increases 3.2 units.
b. For every one-unit increase in Y, X decreases 3.2 units.
c. For every one-unit increase in X, Y decreases 3.2 units.
d. For every one-unit increase in Y, X increases 3.2 units.
e. None of the above

A linear regression between Y and X produced the following equation for the least squares line: Y hat = 2.15 - 3.2x
Which of the following statements concerning this relationship is true?

a. For every one-unit increase in X, Y increases ...

Solution Summary

This answers a multiple choice question on a regression equation, including a detailed explanation.

PRICE VS. AGE: A LINEAR REGRESSION:
investigate the relationship and perform a linear regression statistical analysis on sample data collected. The objective behind the analysis is to answer the research question of is there a relationship between the age of car owners and the price of their cars.
Hypothesis Statement
One o

Question 1
Show us a scatterplot between two interval level variables. (Use Excel to chart them.) Are the results bunched together or far apart? Is the relationship linear? Is the relationship non-linear? Is there no apparent relationship between the two variables?
Question 2
We use Pearson's correlation coefficie

Ten students in a graduate program were randomly selected. Their grade point averages (GPAs) when they entered the program were between 3.5 and 4.0.
The following data were obtained regarding their GPAs on entering the program versus their current GPAs:
Entering GPA
3.5
3.8
3.9
3.7
4
4
3.6
3.9
3.7

When we carry out a regression, we assume a direct causal relationship. In a correlation analysis, we don't make such an assumption, but nevertheless determine whether 2 variables are related. Briefly explain how two variables can be correlated without one directly influencing the other (=without causal relationship)

Simple linear regressionrelationship between x and y.
If s = 400.2546
Sse = 3043870.432
B0 = 2082.0153
B1 = 35.2877
Sb0 = 159.1070
Sb1 =7.6767
T= 4.5967
Is there a significant relationship between x and y?
Describe the exact nature of any relationship that exists between x and y (estimate by a point estimate and

In your own words, tell me what is the major difference between correlation and regression. There are a couple of differences, but one really stands out however, there are some concepts which could use clarification.

Which would be the best, and why? Thanks.
The _____ is the best fitting straight-line drawn through the center of a scatterplot that indicates the relationship between the variables.
A. regression line
B. negative relationship
C. measure of variation
D. multiple-baseline

Given are five observations for two variables x and y. (see attached for details)
x y
1 3
2 7
3 5
4 11
5 14
A. Develop a scatter diagram for this data.
B. What does the scatter diagram in part A indicate about the relationship between the two variables?
C. Try to aproximate the relationship between x and y by drawin