Question

You are only given the correlation between Y and X. Based on that alone, you would be able to determine the R-squared of a regression of Y on X. True/False

Answer #1

Yes, correlation between Y and X is enough to determine the R- Square of a regression of Y on X. The proof is attached as follows.

where R-squared= R^{ 2} and Correlation
Coefficient= r.

Hence the statement is true.

^{}

Suppose the correlation between study time x and test score y is
given by r = .939. What does this tell us about the correlation
between x and y? 0 We have 12 = .8817. What does this tell us about
the connection between x and y (regression of y on x)?

True or False: Given a regression equation of y ̂= 16 + 2.3x we
would expect that an increase in x of 2.0 would lead to an average
increase of y of 4.6. True or False Given a sample of data for use
in simple linear regression, the values for the slope and the
intercept are chosen to minimize the sum of squared errors.

True or False: Assuming a linear relationship between X and Y,
if the coefficient of correlation (r) equals 0.50, this means that
50% of the variation in the dependent variable (Y) is due to
changes in the independent variable (X).

True or False: Assuming a linear relationship between X
and Y, if the coefficient of correlation (r)
equals 0.50, this means that 50% of the variation in the dependent
variable (Y) is due to changes in the independent variable (X).

Is the following true or false?
r x y = r y x
Where r x y is the correlation between x and y
and r y x is the correlation between y and x.

Correlation and Regression True or False 3 Questions:
K). In simple linear regression predicting Y from X, the
unstandardized coefficient of the X variable will always equal the
Pearson r between X and Y. (Assume X and Y are not measured as z
scores).
L). In simple linear regression predicting Y from X, the
standardized coefficient of the X variable will always equal the
Pearson r between X and Y.
M). In multiple regression predicting Y from X, the standardized...

1. Given that the correlation between X and Y
is -0.48, the mean and standard deviation of X are 3.4 and 8.3, the
mean and the standard deviation of Y is 6.5 and 7.2 respectively.
Find the slope for the line of best fit.
2. Given that the correlation between X and Y
is -0.48, the mean and standard deviation of X are 3.4 and 8.3, the
mean and the standard deviation of Y is 6.5 and 7.2 respectively.
Find...

If the relationship between x and y is given by y=0.3x+0.8, what
is the correlation coefficient between x and y?

For the data x= 1,4,5 , and y= 2, 7, 11
a.) Find the correlation coefficient r? What type of
relationship does this represent? Explain. Show all work and
calculations for credit. The formula will be provided on the
board.
b.) Now find our r squared= coefficient of determination. What
does this number tell you in regards to our explanatory variable x
and how it explains our response variable y?
c.) Let’s say if our regression equation is. Y= 2.1154x...

a. If r is a negative number, then b (in the line of regression
) is negative.
true or false
b.The line of regression is use to predict the theoric average
value of y that we expect to occur when we know the value of x.
true or false
c. We can predict no matter the strength of the correlation
coefficient.
true or false
d. The set of all possible values of r is, {r: -1< r <
1
treu...

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