1. If the correlation coefficient value is -0.74, what is the strength of relationship?
2. It has been claimed that 30% of students in a particular school dislike mathematics, When a survey was conducted, it showed that 153 of 600 students dislike mathematics. Test if the claim is to high at level of significance = 0.05. Calculate the Z-test.
3. A teacher wants to know if the number of hours spent in studying is correlated with the score obtained in an examination. The following data shows the number of hours spent in studying and the scores obtained by six students. Compute the correlation coefficient and test its sifnificance at 0.01 level. { No, of hours spent in studying (X): 3.0; 2.7; 3.8; 2.6; 3.3; 3.4} {Score in the Exam (Y): 20; 34; 19; 10; 24; 31}
4. The relationship between number of beers consumed (x) and blood alcohol content (y) was studied in 16 male college students by using least squares regression. The following regression equation was obtained from this study: {y= -0.0127 + 0.0180x]. The above equation implies that:
5. Regression analysis was applied to return rates of sparrowhawk colonies. Regression analysis was used to study the relationship between return rate (x: % of birds that return to the colony each year) and immigration rate (y: % of new adults that join the colony per year). The following regression equation was obtained: y = 31.9 - 0.34x. Based on the above estimated regression equation, if the return rate were to decrease by 10% the rate of immigration to the colony would: