A researcher explores the potential impact of teacher-student ratios on students' learning. After identifying 10 fifth-grade classrooms with 30-40 students and 10 with 15-25 students, a correlation between class size and student achievement is observed. Which one of the following conclusions can we draw from this study?Question 5

The ratio of adults to students on a class field trip is 2 to 5. If there are 12 more students than adults, which proportion and solution represent this situation?

If there were originally 12 students in a class, the number of students after a 50% increase would be

Time and again it has been shown that students who attend colleges with low faculty/student ratios get the most well-rounded education. As a result, when my children are ready to attend college, I’ll be sure they attend a school with a very small student populatio**Which of the following, if true, identies the greatest aw in the reasoning above?**e?Choose the best optionClear ResponseA low faculty/student ratio is the effect of a well-rounded education, not its source.Intelligence should be considered the result of childhood environment, not advanced education.A very small student population does not by itself, ensure a low faculty/student ratio.Parental desires and preferences rarely determines a child’s choice of a college or university.Students must take advantage of the low faculty/student ratio by intentionally choosing small classes.

A statistic professor is investigating the relationship between tutorial class size and academic performance for a post-graduate statistics for business and economics course. She collects data on the tutorial class size (number of students) and average class mark (out of 100) for a sample of 15 tutorial classes. Tutorial size (X) 15 25 22 12 28 22 17 29 8 15 22 19 21 27 15 Average mark (Y) 78 67 69 79 58 65 72 61 82 73 68 70 70 65 77 Note: you can use Excel to run a regression. Insert the above data in Excel and then click on Data/Data Analysis/Regression (a) Assuming a linear relationship between X and Y, the professor used the least-squares method and found that the Y intercept (b0) = 91.1918 and the slope (b1) = -1.0568. Interpret the meaning of the slope. Answer: for each additional student in a tutorial class, the average (tutorial) class mark is estimated to decrease by around 1.06 points, on average. Note: the word “average” is written twice because the unit of measurement of the dependent variable (Y) is average mark. The slope coefficient indicates the average change in Y associated with a one-unit change in X. (b) Predict the mean value of Y for X = 16, and interpret it

In , a class the number of girls is 20% more than that of boys.The strength of the class is 66.If 4 more girls are join to the class, the ratio of the number of boys to that of the girl is:4:33:42:33:2