Question

Complete the following problems: Hours 37 29 14 42 34 7 24 21 34 44 29...

Complete the following problems:

 Hours 37 29 14 42 34 7 24 21 34 44 29 34 26 33 17 21 28 15 33 38 Grade 82 80 42 96 87 30 76 71 92 97 98 57 87 97 48 60 68 70 79 99

An experiment was done to determine if the amount of study hours affect the grade earned by all students in a Business class. Using the above data from the population, find the following:

Median, Mean, Range and Standard Deviation of Study Hours:

Max, Min, Interquartile Range and Variance of Grades:

Correlation Coefficient, r. Is it positive or negative correlation? What does that mean?

Construct a scatter plot of your data. Using a Regression Analysis, what grade would you expect if you studied for 40 hours?

Median, Mean, Range and Standard Deviation of Study Hours:

Ans: Median=29, Mean=28, Range=37 and Standard Deviation=9.84

Max, Min, Interquartile Range and Variance of Grades:

Ans: Max=99, Min=30, Interquartile Range=33 and Variance=402.69

Pearson correlation of Hours and Grade = 0.813, it is a positive correlation. This means that increase the value of  Study Hours increases the value of Grades or vice versa.

The scatter plot of data.

The regression equation is
Grade = 29.38 + 1.66 Hours

The expected grade for 40 hours study   29.38 + 1.66 *40=95.73.