Amultiple regression model is developed by a lecturer in order to study how students fare in their end-of-year exams. the dependent variable is the score a student achieves in the end-of-year exam (y) and this variable is modeled against two independent variables: their score in the mid-year exam (x1) and the number of hours they spent studying for the end-of-year exam (x2).

y = ? 0 + ? 1x1 + ? 2x2 + ?

a sample of 60 students is collected. for each student, the student's score in the mid year exam, the number of hours they studied, and their score in the end-of-year exam are recorded. the following regression equation was developed:

y^ = 5 + 0.8x1 + 0.4x2

a t test is to be conducted in order to assess the significance of mid-year score in predicting end-of-year score. select whether the following statements about the test are true or false:

yes

step-by-step explanation:

step-by-step explanation:

12: 00 p.m. to 7: 00 p.m. is a total of 7 hours.

4: 00 p.m. to 7: 00 p.m. is a total of 3 hours.

this means that from 4: 00 p.m to 7: 00 p.m. this represents 3/7 of what was lost from 12: 00 p.m. to 7: 00 p.m.

after knowing this, after doing 11,600 - 6,800 = 4,800

4,800 represents 3/7 of what was lost for 7 hours.

we then divide 4,800 by 3 which gets 1,600.

because we know that 1,600 represents 1/7 of how much water was lost, we just have to multiply by 7, which gets 11,200.   after adding 11,200 to how much water was left at 7: 00 p.m. which was 6,800. 11,200 + 6,800 = 18,000

this means that the pool originally had 18,000 gallons in the pool.

you can also check your work by doing 18,000 - 4(1600), which becomes           1800 - 6400 which gets you 11,600.

y = 5x + 17

step-by-step explanation:

a perpendicular line will be the opposite reciprocal slope of the given equation.   the slope given is -1/5 so the opposite reciprocal is 5

find b:

7 = 5 (-2) + b

7 = -10 + b

17 = b

write equation

y = 5x + 17

step-by-step explanation: