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
icon
Related questions
Topic Video
Question
100%
I need help solving these problems
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
!!!
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 !!!
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
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
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Data Collection, Sampling Methods, and Bias
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman