Q24.
The coefficient of determination (r2)
is calculated as 0.49, then the correlation coefficient:
Cannot
be determined without the data
Should
be - 0.70 or 0.70
Should
be 0.
Neither
of the above
Q25. A
regression line is used for all of the following except one. Which
one is not a valid use of a regression line?
To
estimate the average value of Y at a specified value of
X.
To
predict the value of Y for an individual, given...
Identify the type of correlation coefficient apprpriate for
measuring the relationship between X and Y :
1. X= sex (M or F); Y= income (dollars)
2. X= IQ (above of below 100); Y= GPA (above or below
60%)
A linear correlation coefficient of 0.92 suggests a
________________ linear relationship than a linear correlation
coefficient of -0.86.
The value of the ___________________ always lies
between -1 and 1, inclusive.
If the linear correlation coefficient of the
regression line is negative, then the ____________________ of the
least squares (linear) regression line must be negative.
Give a detailed interpretation of the slope of a least
squares (linear) regression line.
Give a detailed interpretation of the intercept of a
least squares (linear)...
A researcher took a sample of 25
observations and calculated the correlation coefficient for X and Y
and found r = 0.68. Test at the 5% level the null hypothesis that
there is no correlation between X and Y.
List the type of correlation and casual relationship that you
would expect to find for each of the following pairs of variables.
a) the price of gasoline at the pump, the current world price of
crude oil b) the fish population in a lake, the number of cottages
around the lake c) the humidex rating (an index based on air
temperature and humidity), the number of respiratory ailments
reported d) the stock price of a telephone company, the cost of...
What is the correlation coefficient (r) for the relationship
between senior and freshman year scores?
Does freshman year science scores significantly predict senior
year science scores?
Write out the F statistical string associated with this
relationship. [F(dfreg, dfres)=F value,
p=________]
Write out the line of best fit equation for this relationship
(Y=bX+a, substituting the b & a with values from the table).
If someone scored a 70 on their freshman year science test,
based on the line of best fit,...
6. What is the difference between the correlation coefficient
and ?2? Why should the correlation coefficient be -1 and
1?
7. What is the utility of marginal effects in regression
models? How are they obtained?
8. What is heterocedasticity and homocedasticity? Explain how
to detect and correct the first.
a. Describe what the Pearson correlation coefficient is and what
the coefficient of determination is.
compare it to a real world example or a example problem
The correlation coefficient is
a unitless measure of the strength of the linear relationship
between two quantitative variables
a unitless measure of the strength of the linear relationship
between two categorical variables
measured in the same units as the larger quantitative
variable
measured in the same units as the smaller quantitative
variable
A random sample of 15 weeks of sales (measured in $) and 15
weeks of advertising expenses (measured in $) was taken and the
sample correlation coefficient was...