STATISTICS

Statistics Assignment: MM207



Statistics Assignment: MM207

Question 1

Correlations

Q10 CGPA

Q11 How many hours do you spend on school work each week?

Q10 What is your cumulative Grade Point Average at Kaplan University?

Pearson Correlation

1

. 3079

Sig. (2-tailed)

.48

N

239

238

Q11 How many hours do you spend on school work each week?

Pearson Correlation

. 3079

1

Sig. (2-tailed)

.48

N

238

240

Regression Equation: CGPA = 3.49 + 0.046(hours spent)

Answers

Correlation table shows that there is positive correlation between hours spent on school work each week and CGPA attained by the students.

No there is not that much correlation, which I expected. I was expecting that there would be high correlation between two variables, but now I think there must be some more factors that can contribute to CGPA. (value of correlation coefficient is 0.3079, which shows little correlation) (Tijms, 2004).

Yes, there is casual relationship between CGPA and number of hour s spent on school work because we did not find any statistical significant relation between these two variable as p-value is greater than 0.05 (p-value = 0.48 see table) (Lindley, 1985).

To predict the value of CGPA, we applied regression analysis, and coefficients table shows the linear equation to predict CGPA. Student who spends 16 hours we achieve 4.226 CGPA (as there is a casual correlation, the model is not predicting the value of CGPA correctly. (P-value for constant and beta is greater than 0.05; see table coefficients).

Question 2

Answers

We selected CGPA continuous variable that does not follow normal distribution.

Graphs are shown below; histogram and Q-Q Plot

It is not following normal distribution as the histogram shows that large number of value are greater than the mean value (2.52), which shows observation has greater number of high values (greater than 2.52). Therefore it is positively skewed and it does not follow normal distribution. This is also supported by Q-Q plot as most of the values are not on the line (Hacking, 1990).

We selected continuous variable shoes size, which follows normal distribution.

Graphs are pasted below; histogram and Q-Q plot

Above graphs are shows that shoe size follows normal distribution because normal curve in histogram is neither positively skewed nor negatively skewed, and Q-Q plot shoes most of the observation lay on the line, which mean variable is following normal distribution (Desrosières, 2004).

Question 3

Jonathan is a 42 year old male student and Mary is a 37 year old female student thinking about taking this class. Based on their relative position, which student would be farther away from the average age of their gender group based on this sample of MM207 students?

Mean Table

Gender

Statistic

Age

Male

Mean

38.3095

Female

Mean

36.8960

Box Plot

Answer

Jonathan would be farther away from the mean of male category (42-38.3 = 3.7 years), and Mary would be (37-36.9 = 0.1 years) away from the mean age of female category. Box plot also shows same thing.

Question 4

If you were to randomly select a student from the set of students who have completed the survey, what is the probability that you would select a male? Explain your answer.

Answer

If we were to randomly select a student from the set of students who have completed the survey, there are ...