A university conducted a study on 446 business graduates who had all completed t
ID: 2922404 • Letter: A
Question
A university conducted a study on 446 business graduates who had all completed the same business course. The study used correlation coefficients to investigate the relationship between many different business skills. Two of the many variables measured were self-knowledge skill level (x) and goalsetting ability (y). The correlation coefficient was r=0.71.
Complete parts a through c below.
a. Give a practical interpretation of the value of r. Choose the correct answer below.
A.
Since the value of r is less than 0.90, there is a weak positive linear relationship between self-knowledge skill level and goalsetting ability.
B.
Since the value of r is fairly large, there is a weak positive linear relationship between self-knowledge skill level and goalsetting ability.
C.
Since the value of r is fairly large, there is a moderately strong positive linear relationship between self-knowledge skill level and goalsetting ability.
b. The p-value for a test of no correlation between the two variables was reported as
p font size decreased by 4 minus value equals 0.001 .pvalue=0.001. Interpret this result.
Choose the correct answer below.
A.
Since the p-value is so small, there is sufficient evidence to reject the null hypothesis. There is evidence to indicate a linear relationship between self-knowledge skill level and goalsetting ability for any significance level of alpha greater than 0.001 .>0.001.
B.
Since the p-value is so small, there is sufficient evidence to reject the null hypothesis. There is evidence to indicate a significant negative linear relationship between self-knowledge level skill and goalsetting ability for any significance level of alpha greater than 0.001 .>0.001.
C.
Since the p-value is so small, do not reject the null hypothesis.
c. Find the coefficient of determination,
r squaredr2, and interpret the result.
r2=
(Round to four decimal places as needed.)
Interpret the result.
A.
The linear model explains
(1minusr squaredr2) times •100%
of the total sample variability around the sample mean self-knowledge skill level.
B.
The linear model explains
(1minusr squaredr2) times •100%
of the total sample variability around the sample mean goalsetting ability.
C.
The linear model explains
r squaredr2 times •100%
of the total sample variability around the sample mean self-knowledge skill level.
D.
The linear model explains
r squaredr2 times •100%
of the total sample variability around the sample mean goalsetting ability.
Explanation / Answer
A) Option C
Since the value of r is fairly large, there is a moderately strong positive linear relationship between self-knowledge skill level and goalsetting ability.
b) A option
Since the p-value is so small, there is sufficient evidence to reject the null hypothesis. There is evidence to indicate a linear relationship between self-knowledge skill level and goalsetting ability for any significance level of alpha greater than 0.001 .>0.001.
c) r^2 = 0.71^2
r^2 = 0.5041 or 50.41%
D option
The linear model explains
r squaredr2 times •100% of the total sample variability around the sample mean goalsetting ability.
Related Questions
drjack9650@gmail.com
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.