You gather the following data:

Find the slope and intercept of the least squares line.

Slope=b1=  

Intercept=b0=  

Test a model that tries to explain differences in BMI based on parents' average BMI, a person's age, number of weekly hours of exercise, and the number of times a person eats outside.

Which independent variable (IV) does not explain variability in a person's BMI? Explain.

QUESTION 17

Exhibit 6-2

Consider Exhibit 6-2. What is the marginal utility of having a second order of fries?

a. 10 utils.

b. 20 utils.

c. 30 utils.

d. 50 utils.

QUESTION 18

1. Table 1: Mark’s Utility Information from Ice Cream and Pizza. Budget: $9.

   Ice Cream (Scoops) (P=$1)		Pizza (slices) (P=$2)
   Quantity	MU from Ice Cream	Quantity	MU from Pizza
   1	20	1	24
   2	15	2	22
   3	10	3	20
   4	5	4	18
   5	0	5	16
   6	-5	6	14

   See Table 1. Mark is a rational consumer. He wants to maximize his total utility. With a budget $9, how does his consumption look like?

   		He will buy 2 scoops of ice cream and 1 slice of pizza, saving $5.
   		He will buy 4 scoop of ice cream and 4 slices of pizza, depleting his budget.
   		He will buy 3 scoops of ice cream and 3 slices of pizza, depleting his budget.
   		He will buy 2 scoops of ice cream and 2 slices of pizza, saving $3.

QUESTION 19

1. Table 1: Mark’s Utility Information from Ice Cream and Pizza. Budget: $9.

   Ice Cream (Scoops) (P=$1)		Pizza (slices) (P=$2)
   Quantity	MU from Ice Cream	Quantity	MU from Pizza
   1	20	1	24
   2	15	2	22
   3	10	3	20
   4	5	4	18
   5	0	5	16
   6	-5	6	14

   Continue with the scenario. What is the total utility that Mark achieve?

   		111.
   		134.
   		78.
   		92.

( Assembly Language )

Write a program that computes the 7th fibonacci number.

The fibonacci sequence -

1, 1, 2, 3, 5, 8, 13, 21, 34, 55, …

what is the initialization of a, b, and d?

wrong initialization

the following statements are the body of the loop

a := b

b := d

d := a + b

your assembly language code begins here:

N dword 7

FibN dword ?

…

mov ecx, N

mov eax, 0

mov ebx, 1

toploop:

     …

loop toploop

mov FibN, edx

*Please include Spreadsheets and formulas, if applicable*

1. The distribution system for the Herman Company consists of three plants, two warehouses, and four customers. Plant capacities and shipping costs per unit (in $) from each plant to each warehouse are as follows
   

Customer demand and shipping costs per unit (in $) from each warehouse to each customer are as follows:

1. Formulate a linear programming model of this transshipment problem.  Write it below.

2. Solve the linear program to determine the optimal shipping plan and write it below. What is the minimal shipping cost?

Start Node End Node Units shipped

1 4 _____________

1 5 ____________

2 4 ____________

2 5 ____________

3 4 _____________

3 5 ____________

4 6 _____________

4 7 _______________

4 8 _____________ Total Cost=_____________________

4 9 _____________

5 6 ______________

5 7 ______________

5 8 ______________

5 9 ______________

Prepare entries to record the following:

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A researcher compares two compounds (1 and 2) used in the manufacture of car tires that are designed to reduce braking distances for SUVs equipped with the tires. SUVs equipped with tires using compound 1 have a mean braking distance of 45 feet and a standard deviation of 11.6 feet. SUVs equipped with tires using compound 2 have a mean braking distance of 49 feet and a standard deviation of 6.1 feet. Suppose that a sample of 76 braking tests is performed for each compound. Using these results, test the claim that the braking distance for SUVs equipped with tires using compound 1 is shorter than the braking distance when compound 2 is used. Let μ1μ1 be the true mean braking distance corresponding to compound 1 and μ2μ2 be the true mean braking distance corresponding to compound 2. Use the 0.1 level of significance.

Step 1 of 4: State the null and alternative hypotheses for the test.

Step 2 of 4: Compute the value of the test statistic. Round your answer to two decimal places.

Step 3 of 4: Determine the decision rule for rejecting the null hypothesis H₀. Round the numerical portion of your answer to two decimal places.

Step 4 of 4: Make the decision for the hypothesis test. Fail or reject to fail.

Step 2 of 4 :  

Compute the value of the test statistic. Round your answer to two decimal places.

(a) Find the equation of the plane passing through the point P(0, 0, 5) and the line x = 1 + t, y = 1 − t, z = 4 − 5t.

(b) Find parametric equations for the line passing through point (1, 2, 3) and parallel to the line x = 2 − 3t, y = 4 + t, z = 2t.

What is the maximum number of electrons in an atom that can have the following quantum numbers?

A.) n=2; m_s= -1/2

B.) n=5: l=3

C.) n=4; l=3; m_l= -3

D.) n=4; l=1; m_l=1

Completely confused! Please explain your answer. Thanks...

student_id=100

set.seed(student_id)

Group1=round(rnorm(15,mean=10,sd=4),2)

Group2= round(rnorm(12,mean=7,sd=4),2)

For this question you are not allowed to use the lm() command in R or the equivalent of lm() in python or other software. If you want to use a software, only use it as a calculator. So if you are using R, you may only use mean(), sum(), qt() and of course +,-,*,/. (Similar restrictions for Python, excel or others).

Consider all the 27 numbers printed under Group1 and Group2 as your y values, and the two group indicators as a categorical variable x ( indicating Group1 vs Group2).

(a) Fit a least square regression line and calculate the intercept and the slope.

(b) At 5% level of significance, test that the true slope parameter is zero.

(c) Match your answer from part (b) to your answers from Question 2. Describe briefly any similarity that you see.