Would really appreciate your help!! Thank you :) Just number 4! The following da

Question

Would really appreciate your help!! Thank you :)

Just number 4!

The following data are for intelligence-test (IT) scores, grade-point averages (GPA), and reading rates (RR) of 20 at-risk students. a. Calculate the line of best fit that predicts GPA on the basis of IT scores. b. Calculate the line of best fit that predicts GPA on the basis of RR scores. c. Which of the two lines calculated in parts a and b best fits the data? Justify your answer citing statistical evidence of goodness of fit. It has been determined that the amount of time that a car is left in the short-term parking lot of a certain airport is modeled by a uniform distribution from 0 to 4 days. The time is calculated using the elapsed time in hours the car is left in the parking lot. Answer each question showing a figure and your work. a. What is the probability that a randomly selected car will be picked up after 3 or more days? b. What is the probability that a randomly selected car will be picked up after one or more days?

Explanation / Answer

a.

Step 1: Find XY and X2 as it was done in the table below.

Step 2: Find the sum of every column:

X=3762 , Y=20.2 , XY=4155.8 , X2=741566

Step 3: Use the following equations to find a and b:

a=YX2XXY/nX2(X)2=20.274156637624155.8/20741566376220.964

b=nXYXY/nX2(X)2=204155.8376220.2/20741566(3762)20.01

Step 4: Substitute a and b in regression equation formula

y = a + bx= 0.964 + 0.01x

b.

Step 1: Find XY and X2 as it was done in the table below.

Step 2: Find the sum of every column:

X=636 , Y=20.2 , XY=656.6 , X2=21264

Step 3: Use the following equations to find a and b:

a=YX2XXY/nX2(X)2=20.221264636656.6/202126463620.574

b=nXYXY/nX2(X)2=20656.663620.2/2021264(636)20.014

Step 4: Substitute a and b in regression equation formula

y = a + bx= 0.574 + 0.014x

X Y XY XX 295 2.4 708 87025 152 0.6 91.2 23104 214 0.2 42.8 45796 171 0 0 29241 131 1 131 17161 178 0.6 106.8 31684 225 1 225 50625 141 0.4 56.4 19881 116 0 0 13456 173 2.6 449.8 29929 230 2.6 598 52900 195 0 0 38025 174 1.8 313.2 30276 177 0 0 31329 210 0.4 84 44100 236 1.8 424.8 55696 198 0.8 158.4 39204 217 1 217 47089 143 0.2 28.6 20449 186 2.8 520.8 34596

Related Questions

Navigate

• Browse (All)
• Browse W
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.