Question

1。James is taking a computer science course. The mark breakdown is as follows:

• Midterm Exam 1 – 20% • Midterm Exam 2 – 30% • Final Exam – 50%

All exams are out of 100 marks. James received scores of 70 on Midterm Exam 1 and 60 on Midterm Exam 2. To receive a final grade of B+ in the course, a student requires a final grade of 75% or higher. What is the minimum score James must get on the final exam in order to receive a final grade of B+?

2. A researcher is studying how the height of children during early adolescence is affected by milk consumption. She plots the heights (in inches) and the milk consumption (in cups per day) for a sample of children and wants to fit a least-squares regression line to the data. She calculates the following for this sample of children:

• The correlation between milk consumption and height is 0.4. • The mean milk consumption is 4.0 cups per day. • The mean height is 60.0 inches. • The standard deviation of milk consumption is 1.5 cups per day. • The standard deviation of heights is 3.0 inches. What is the predicted height of a child who consumes 5 cups of milk per day?

Answer 1

1。James is taking a computer science course.

Midterm exam 1
Weightage = 0.2
Marks obtained = 70
Final score = (0.2)(70)=14

Midterm exam 2
Weightage = 0.3
Marks obtained = 60
Final score = (0.3)(60)=18

Therefore the total final score obtain from midterm exam 1 and exam 2 = 14 + 18 = 32.

Hence to get B+ grade, he needs to get 75 and above, hence he needs 43 marks as the final score.

We known
final scores= final exam marks * weightage
43 = final exam marks * 0.5
final exam marks = 43/0.5 = 86

Hence James must get 86 out 100 in the final exam to get a B+ scores.

2.