1.In a study concerned with the relationship between two variables, X and Y, the following data were obtained: Mean of X = 119 Mean of Y = 1.30 S.D. of X = 10 S.D. of Y = 0.55 r= 0.7 a) Sally obtained a score of 130 on the X-variable. Predict her score on the Yyariable. b) A score of 1.28 on the Y-variable was predicted for Bill. What was his score on
1.In a study concerned with the relationship between two variables, X and Y, the following data were obtained: Mean of X = 119 Mean of Y = 1.30 S.D. of X = 10 S.D. of Y = 0.55 r= 0.7 a) Sally obtained a score of 130 on the X-variable. Predict her score on the Yyariable. b) A score of 1.28 on the Y-variable was predicted for Bill. What was his score on
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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1.In a study concerned with the relationship between two variables, X and Y, the
following data were obtained:
Mean of X = 119 Mean of Y = 1.30
S.D. of X = 10 S.D. of Y = 0.55
r= 0.7
a) Sally obtained a score of 130 on the X-variable. Predict her score on the Yvariable.
b) A score of 1.28 on the Y-variable was predicted for Bill. What was his score on
the X-variable?
c) Determine the standard error of estimate for Y.
2. The variance of Y is 400 and the correlation between X and Y is 0.50.
a) What is the variance error of estimate in predicting Y from X?
b) What is the variance of the predicted values?
3. A student obtains a score on Test X that is 1.5 standard deviations above the
mean. What standard score would you predict for him on test Y if r equals:
(a) 0.0 (b) 0.40 (c) 0.80 (d) 1.0 (e) -0.50 (f) –0.80
4. Shown below are the scores of 20 female college professors on a measure of
satisfaction with their work (Y), and a measure of satisfaction with their lives in
general (X). Also shown are the means, standard deviations, and rxy,
Prof.1 2345 6789 10 11 12 13 14 15 16 17 18 19 20
X: 57 64 60 59 49 57 62 53 66 55 61 48 69 58 61 55 68 56 62 55
Y: 44 53 47 50 36 49 54 40 52 48 49 39 60 46 48 43 57 47 51 45
Mean of X = 58.75 S.D. of X = 5.64 Mean of Y = 47.9 S.D of Y = 5.9 pXY = 0.9
MacBook Air
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Transcribed Image Text:AaBbCcDdEe
AaBbCcDdEe
AABBCCDC AaBbCcDdEe
Normal
No Spacing
Heading 1
Heading 2
1.In a study concerned with the relationship between two variables, X and Y, the
following data were obtained:
Mean of X = 119 Mean of Y = 1.30
S.D. of X = 10 S.D. of Y = 0.55
r= 0.7
a) Sally obtained a score of 130 on the X-variable. Predict her score on the Yvariable.
b) A score of 1.28 on the Y-variable was predicted for Bill. What was his score on
the X-variable?
c) Determine the standard error of estimate for Y.
2. The variance of Y is 400 and the correlation between X and Y is 0.50.
a) What is the variance error of estimate in predicting Y from X?
b) What is the variance of the predicted values?
3. A student obtains a score on Test X that is 1.5 standard deviations above the
mean. What standard score would you predict for him on test Y if r equals:
(a) 0.0 (b) 0.40 (c) 0.80 (d) 1.0 (e) -0.50 (f) –0.80
4. Shown below are the scores of 20 female college professors on a measure of
satisfaction with their work (Y), and a measure of satisfaction with their lives in
general (X). Also shown are the means, standard deviations, and rxy,
Prof.1 2345 6789 10 11 12 13 14 15 16 17 18 19 20
X: 57 64 60 59 49 57 62 53 66 55 61 48 69 58 61 55 68 56 62 55
Y: 44 53 47 50 36 49 54 40 52 48 49 39 60 46 48 43 57 47 51 45
Mean of X = 58.75 S.D. of X = 5.64 Mean of Y = 47.9 S.D of Y = 5.9 pXY = 0.9
MacBook Air
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Heading 1
Head
(a) Find the regression equation for predicting work satisfaction (Y) from life
satisfaction (X).
(b) Predict work satisfaction (Y) scores from X scores of 50, and 70.
(c) Graph the 20 pairs of X and Y scores in a scatter plot. On the same graph,
plot the regression line obtained in (a) above. (Note: This can be done by
first plotting the point representing X = 50 and the predicted Y score that
you calculated in (b) above, and then do the same thing for the X score of
70. Then connect these two points on the graph with a straight line, and
presto! You have your regression line. In other words, the regression line
is the line that runs through all of the predicted Y-scores if you were to
plot them on the graph.)
(d) Compute the Standard Eror of Estimate (Se). What does this statistic
represent? Relate it to what you have plotted on the graph.
5. A study was undertaken to find the relationship between "emotional stability" and
performance in college. The following results were obtained"
Mean of X = 49 Mean of Y = 1.35
Sx = 12 Sy = 0.5
r= 0.36
(a) Norm obtained a score of 85 on the X-variable. What is your prediction of
his score on the Y-variable?
(b) Determine the standard error of estimate of X and Y.
(c) What proportion of the total variation in Y is accounted for by X?
Fo](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F19af629f-f83f-4820-8b92-0de900ae516d%2F4ecc5512-4315-481a-850d-a2b23a78cd04%2Fo6bh7nn_processed.jpeg&w=3840&q=75)
Transcribed Image Text:m、而、i<一EE|处
AaBbCcDc AaBbC
AaBbCcDdEe
AaBbCcDdEe
Normal
No Spacing
Heading 1
Head
(a) Find the regression equation for predicting work satisfaction (Y) from life
satisfaction (X).
(b) Predict work satisfaction (Y) scores from X scores of 50, and 70.
(c) Graph the 20 pairs of X and Y scores in a scatter plot. On the same graph,
plot the regression line obtained in (a) above. (Note: This can be done by
first plotting the point representing X = 50 and the predicted Y score that
you calculated in (b) above, and then do the same thing for the X score of
70. Then connect these two points on the graph with a straight line, and
presto! You have your regression line. In other words, the regression line
is the line that runs through all of the predicted Y-scores if you were to
plot them on the graph.)
(d) Compute the Standard Eror of Estimate (Se). What does this statistic
represent? Relate it to what you have plotted on the graph.
5. A study was undertaken to find the relationship between "emotional stability" and
performance in college. The following results were obtained"
Mean of X = 49 Mean of Y = 1.35
Sx = 12 Sy = 0.5
r= 0.36
(a) Norm obtained a score of 85 on the X-variable. What is your prediction of
his score on the Y-variable?
(b) Determine the standard error of estimate of X and Y.
(c) What proportion of the total variation in Y is accounted for by X?
Fo
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