- The following table gives the experience (in years) and monthly salaries (in hundreds of RM) of nine randomly selected secretaries. [Jadual berikut memberikan pengalaman (dalam tahun) dan gaji bulanan (dalam ratusan RM) sembilan setiausaha yang dipilih secara rawak] Experience [Pengalaman) Monthly Salary [Gaji Bulanan] 14 42 24 33 6. 31 4 29 9 39 18 47 5 16 30 43 Ex = 80 Σν= 318 Σ-968 Ey? = 11,710 Exy = 3,162 a) Calculate the estimated linear correlation coefficient, r, and interpret your result. [Kirakan penganggar pekali korelasi liner, r, dan tafsirkan keputusan anda.) b) Write the equation for least squares regression line with experience as independent variable and monthly salary as a dependent variable. [Tuliskan persamaan bagi garis regresi kuasa dua terkecil dengan pengalaman sebagai pembolehubah tidak bersandar dan gaji bulanan sebagai pembolehubah bersandar.) c) Obtain the coefficient of determination and interpret your answer. [Dapatkan pekali penentuan dan tafsirkan jawapan anda.] d) Test if the true correlation coefficient p>0 at a = 0.10. [Uji samada pekali korelasi sebenar p>0 pada a =0.10.] e) Predict the monthly salary if the experience is 12 years. [Ramalkan gaji bulanan jika pengalaman adalah 12 tahun.]

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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1. The following table gives the experience (in years) and monthly salaries (in
hundreds of RM) of nine randomly selected secretaries.
[Jadual berikut memberikan pengalaman (dalam tahun) dan gaji bulanan (dalam
ratusan RM) sembilan setiausaha yang dipilih secara rawak.]
Experience
[Pengalaman]
Monthly Salary
[Gaji Bulanan)
14
42
24
33
6.
31
4
29
9.
39
18
47
30
16
43
Ex = 80
Ey = 318 Ex? = 968
Σ- 11,710 Σν 3,162
%3D
a) Calculate the estimated linear correlation coefficient, r, and interpret your result.
[Kirakan penganggar pekali korelasi liner, r, dan tafsirkan keputusan anda.)
b)
Write the equation for least squares regression line with experience as
independent variable and monthly salary as a dependent variable. [Tuliskan
persamaan bagi garis regresi kuasa dua terkecil dengan pengalaman sebagai
pembolehubah tidak bersandar dan gaji bulanan sebagai pembolehubah
bersandar.]
c) Obtain the coefficient of determination and interpret your answer.
[Dapatkan pekali penentuan dan tafsirkan jawapan anda.]
d) Test if the true correlation coefficient p>0 at a = 0.10.
[Uji samada pekali korelasi sebenar p>0 pada a = 0.10.)
e) Predict the monthly salary if the experience is 12 years.
[Ramalkan gaji bulanan jika pengalaman adalah 12 tahun.]
Transcribed Image Text:1. The following table gives the experience (in years) and monthly salaries (in hundreds of RM) of nine randomly selected secretaries. [Jadual berikut memberikan pengalaman (dalam tahun) dan gaji bulanan (dalam ratusan RM) sembilan setiausaha yang dipilih secara rawak.] Experience [Pengalaman] Monthly Salary [Gaji Bulanan) 14 42 24 33 6. 31 4 29 9. 39 18 47 30 16 43 Ex = 80 Ey = 318 Ex? = 968 Σ- 11,710 Σν 3,162 %3D a) Calculate the estimated linear correlation coefficient, r, and interpret your result. [Kirakan penganggar pekali korelasi liner, r, dan tafsirkan keputusan anda.) b) Write the equation for least squares regression line with experience as independent variable and monthly salary as a dependent variable. [Tuliskan persamaan bagi garis regresi kuasa dua terkecil dengan pengalaman sebagai pembolehubah tidak bersandar dan gaji bulanan sebagai pembolehubah bersandar.] c) Obtain the coefficient of determination and interpret your answer. [Dapatkan pekali penentuan dan tafsirkan jawapan anda.] d) Test if the true correlation coefficient p>0 at a = 0.10. [Uji samada pekali korelasi sebenar p>0 pada a = 0.10.) e) Predict the monthly salary if the experience is 12 years. [Ramalkan gaji bulanan jika pengalaman adalah 12 tahun.]
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