Hypothesis Testing on Correlation Coefficient

Which of the following statement correctly illustrates the nature of a bivariate dat? Expound your answer in your answer sheet.

• Data that involve no variable.

• Data that involve one variable.

• Data that involve two variables.

• Data that involve three or more variables.

Which of the following situations involve bivariate type of data? Write the variables of your answer in your answer sheet.

• Juan recorded the final grades of her 50 classmates in Statistics & Probability.

• Kaye recorded the number of hours 25 Grade 11 students spend answering.

• Zoe estimated that the average number of students with internet connection in a class of 50 students is 17.

• Patrick surveys the amount spent for wifi load and the number of hours spent for studying online of 50 students of DORSHS.

Construct a scatter plot for the given data obtained in a study on the number of absences and the final grades of seven randomly selected students from a statistics class.

• I did it.

• I do not know how to do it.

Which of the following best the describes shape (form) based on the scatter plot of the given data. Explain your answer in your answer sheet.

• linear correlation

• spatial correlation

• ordinary correlation

• curvilinear correlation

Which of the following best the describes trend (direction), and variation (strength) based on the scatter plot of the given data. Explain your answer in your answer sheet.

• weak negative correlation

• strong negative correlation

• weak positive correlation

• strong positive correlation

Calculates the Pearson’s sample correlation coefficient of the given data. Show your solution in your answer sheet.

• -0.944

• -0.499

• 0.499

• 0.944

Which of the following best describes trend (direction), and variation (strength) based on Correlation Coefficient of the given data. Explain your answer in your answer sheet.

• weak negative correlation

• moderate negative correlation

• strong negative correlation

• perfect negative correlation

Based on the description of Correlation Coefficient of the given data. What is the appropriate interpretation? Complete the statement in your answer sheet.

• It slightly suggests that the more ___ a student has, the lower is his or her ___.

• It slightly suggests that the more ___ a student has, the higher is his or her ___.

• It strongly suggests that the more ___ a student has, the lower is his or her ___.

• It strongly suggests that the more ___ a student has, the higher is his or her ___.

To test the claim that there is significant correlation between the number of absences and the final grades of seven randomly selected students from a statistics class, what is the appropriate hypothesis? Write the statement form of your answer.

• $H_o:\ \rho=0;\ Ha:\ p<0$

• $H_o:\ \rho=0;\ Ha:\ p=0$

• $H_o:\ \rho=0;\ Ha:\ p\ne0$

• $H_o:\ \rho=0;\ Ha:\ p>0$
  

To test the claim that there is significant correlation between the number of absences and the final grades of seven randomly selected students from a statistics class, determine the appropriate critical value at 0.05 significance level? Illustrate in your answer sheet.

•  $-2.571$ 

•  $\pm2.571$ 

•  $2.571$ 

•  $none\ of\ the\ choices$