7. Digging deeper, Letecia is curious about how a teacher\'s salary corresponds

Question

7. Digging deeper, Letecia is curious about how a teacher's salary corresponds with the dropout rates of their students. She also asks the teachers how many students they teach in total. The combined data can be found in the file "dropout rates.xisx" a. What exactly is the population sampled from here? b. What are the variables? c. Which variable is a better predictor of dropout rates, salary or number of students? Comment on the shape of the scatter plots and the correlation coefficients to justify your answer. d. State and interpret the y-intercept of the model e. State and interpret the slope of the model you f. Using the predictor you chose in part c, how could you chose. chose. the school reach a dropout rate of 10%?

Explanation / Answer

A) since here we are curious about the number of drop-out students so here samples population is drop-out students from different teachers

B)here three variables

1.number of drop out students. It's a dependent variable

2. Salary of teachers. It's independent variable

3.number of students under a teacher independent variable

C) number of students is better predictor of dropout rate than salary because number of students represent quality of teachers if number of students more then teacher is good other wise bad so if number of students of any teacher more then his drop out rate is low

And drop out rate and number of students -ve correlated

D)if number of students and salary assumed equal to zero then drop out rate value is known as intercept

E)if we assume salary equal to zero then cofficient of number of students is known as slope of number of students .if number of students changes by 1 then slope times change in drop out rate due to number of students

While if we assume the number of students zero then cofficient of salary is known as slope of salary

If unit change in salary then slope times change in drop out rates due to salary

F) by increasing number of students

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