Regression Exam 2025 With 100%
Correct Answers
A researcher wants to know if there was a relationship between student age and desire to
complete a college degree. To answer this question, the researcher used a local community
college as the sampling frame and then used stratified sampling to get a sample of students
from 18 to 80 years old. Based on the information given, is there any potential bias in this
study?
a Yes, because the sampling frame does not match the intended population of the question.
b Yes, because the sampling method will not give a representative sample.
c Yes, because a voluntary sample should have been used.
d No, there will likely be no bias in this study. - correct answers ✔✔Yes, because the sampling
frame does not match the intended population of the question.
A researcher conducts an observational study and finds a correlation between managers'
income and the number of college credits earned. The correlation coefficient was r=.85 with a
regression equation of y=515x+12000. What can you say about the relationship between these
variables?
a There is an association between these variables
b There is a causation between these variables.
c There is no relationship between these variables.
d There is not enough information to determine the relationship between the variables. -
correct answers ✔✔There is an association between these variables
,What technique is used to estimate the profit margin for a production level of 25 thousand
units, if a line of best fit is created to estimate profit margin for production levels between 20 to
39 thousand units?
a Interpolation
b Linearization
c Extrapolation
d Internalization - correct answers ✔✔Interpolation
What is the most appropriate definition of a scatterplot?
a A graph that uses dots to demonstrate relationships between two categorical variables.
b A graph where lines are shown to represent positive or negative trends.
c A graph where the explanatory and response variables are plotted as ordered pairs.
d A graph where a positive causation is always represented with dots forming a straight line. -
correct answers ✔✔A graph where the explanatory and response variables are plotted as
ordered pairs.
What does a strong positive correlation between two variables suggest?
a The explanatory variable is increasing and the response variable is decreasing
b There is an association between the variables
c There is a causation between the variables
d Cannot determine - correct answers ✔✔There is an association between the variables
{{ Scatterplot of distance from city center vs. rent. The linear equation for this scatterplot is y
equals negative one hundred five ten thousandths times x plus ten and three hundred eighty
one thousandths. }}
, Using the scatterplot Distance from City Center vs. Monthly Rent, how far can we expect an
apartment to be from the city center if the monthly rent is $ 980 ? Round your answer to the
nearest mile.
a Around 54 miles
b Around 55 miles
c Around 56 miles
d Around 57 miles - correct answers ✔✔Around 55 miles
Which correlation coefficient suggests the weakest correlation?
a −0.9
b −0.3
c 0.1
d 1 - correct answers ✔✔0.1
What does it mean for a result or relationship to be statistically significant?
a The relationship is not caused by mere chance.
b The relationship is caused by chance.
c Your hypothesis test has failed.
d Your significance level is not high enough. - correct answers ✔✔The relationship is not caused
by mere chance.
What is the process used to create the equation for the line of best fit?
a Completing the square