The following table shows the annual number of PhD graduates in a country in various fields. Natural Sciences Social Sciences 1000 O 800 1990 600 1995 400 2000 200 2005 y 2010 2012 70 130 200 330 490 590 690 Engineering Graph the associated points and regression line. 10 400 40 130 370 550 590 600 60 800 110 (a) With x = the number of social science doctorates and y = the number of education doctorates, use technology to obtain the regression equation. (Round coefficients to three significant digits.) y(x) = 280 460 830 1,000 Education 1000 30 40 140 ● 210 520 900 y 1000 800 LVI 600 400 200 y 1000 800 600 400 200 200 400 (d) Does the graph suggest a roughly linear relationship between x and y? Why or why not? O Yes, the graph suggests a concave-up curve rather than a straight line. O Yes, the graph suggests a concave-down curve rather than a straight line. O Yes, the graph suggests a straight line. No, the graph suggests a concave-down curve rather than a straight line. O No, the graph suggests a concave-up curve rather than a straight line. 600 (c) Use technology to obtain the coefficient of correlation r. (Round your answer to three decimal places.) r=| Does the value of r suggest a strong correlation between x and y? Sincer is close to 1, the correlation between x and y is a strong one. O Sincer is close to 1, the correlation between x and y is a weak one. O Sincer is close to 0, the correlation between x and y is a weak one. O Sincer is close to 0, the correlation between x and y is a strong one. x 800 X 1000 (b) What does the slope tell you about the relationship between the number of social science doctorates and the number of education doctorates? O The slope tells us the decrease in the number of social science doctorates for each additional education doctorate. The slope tells us the increase in the number of education doctorates for each additional social science doctorate. O The slope tells us the decrease in the number of education doctorates for each additional social science doctorate. O The slope tells us the increase in the number of social science doctorates for each additional education doctorate. O 200 400 600 800 y XO ✓ 1000 1000 800 600 400 200 200 400 600 800 X 1000
The following table shows the annual number of PhD graduates in a country in various fields. Natural Sciences Social Sciences 1000 O 800 1990 600 1995 400 2000 200 2005 y 2010 2012 70 130 200 330 490 590 690 Engineering Graph the associated points and regression line. 10 400 40 130 370 550 590 600 60 800 110 (a) With x = the number of social science doctorates and y = the number of education doctorates, use technology to obtain the regression equation. (Round coefficients to three significant digits.) y(x) = 280 460 830 1,000 Education 1000 30 40 140 ● 210 520 900 y 1000 800 LVI 600 400 200 y 1000 800 600 400 200 200 400 (d) Does the graph suggest a roughly linear relationship between x and y? Why or why not? O Yes, the graph suggests a concave-up curve rather than a straight line. O Yes, the graph suggests a concave-down curve rather than a straight line. O Yes, the graph suggests a straight line. No, the graph suggests a concave-down curve rather than a straight line. O No, the graph suggests a concave-up curve rather than a straight line. 600 (c) Use technology to obtain the coefficient of correlation r. (Round your answer to three decimal places.) r=| Does the value of r suggest a strong correlation between x and y? Sincer is close to 1, the correlation between x and y is a strong one. O Sincer is close to 1, the correlation between x and y is a weak one. O Sincer is close to 0, the correlation between x and y is a weak one. O Sincer is close to 0, the correlation between x and y is a strong one. x 800 X 1000 (b) What does the slope tell you about the relationship between the number of social science doctorates and the number of education doctorates? O The slope tells us the decrease in the number of social science doctorates for each additional education doctorate. The slope tells us the increase in the number of education doctorates for each additional social science doctorate. O The slope tells us the decrease in the number of education doctorates for each additional social science doctorate. O The slope tells us the increase in the number of social science doctorates for each additional education doctorate. O 200 400 600 800 y XO ✓ 1000 1000 800 600 400 200 200 400 600 800 X 1000
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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Transcribed Image Text:The following table shows the annual number of PhD graduates in a country in various fields.
Natural
Sciences
Social
Sciences
1000
800
1990
1995
400
2000
200
2005
y
2010
2012
600-
70
200
130
330
490
590
690
Engineering
400
10
40
130
370
550
590
600
60
800
110
280
460
(a) With x = the number of social science doctorates and y = the number of education doctorates, use technology to obtain the regression equation. (Round coefficients to three significant digits.)
y(x) =
Graph the associated points and regression line.
830
1,000
Education
1000
30
40
140
210
520
900
y
1000
800
600
400
200
200
400
Does the value of r suggest a strong correlation between x and y?
Ⓒ Sincer is close to 1, the correlation between x and y is a strong one.
O Sincer is close to 1, the correlation between x and y is a weak one.
O Sincer is close to 0, the correlation between x and y is a weak one.
O Sincer is close to 0, the correlation between x and y is a strong one.
600
(c) Use technology to obtain the coefficient of correlation r. (Round your answer to three decimal places.)
(d) Does the graph suggest a roughly linear relationship between x and y? Why or why not?
O Yes, the graph suggests a concave-up curve rather than a straight line.
O Yes, the graph suggests a concave-down curve rather than a straight line.
O Yes, the graph suggests a straight line.
No, the graph suggests a concave-down curve rather than a straight line.
O No, the graph suggests a concave-up curve rather than a straight line.
x
800 1000
y
1000
800
600
400-
(b) What does the slope tell you about the relationship between the number of social science doctorates and the number of education doctorates?
O The slope tells us the decrease in the number of social science doctorates for each additional education doctorate.
The slope tells us the increase in the number of education doctorates for each additional social science doctorate.
O The slope tells us the decrease in the number of education doctorates for each additional social science doctorate.
O The slope tells us the increase in the number of social science doctorates for each additional education doctorate.
200
200
400
▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬XO
800
600
y
1000
1000✔✔
800
600
400
200
200
400
600
800
X
1000
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