Find the equation of the regression line by letting Row 1 represent the x- values and Row 2 represent the y- values. Now find the equation of the regression line letting Row 2 represent the x- values and Row 1 represent the y- values. What effect does switching the explanatory and responsive variables have on the regression line?

Row 1: -5 -3 4 1 -1 -2 0 2 3 -4

Row 2: -10 -8 9 1 -2 -6 -1 3 6 -8

Example Explanation
• The original number was 101 in binary which is equivalent to 5 in decimal.
• The answer after shifting to the right is 2 in decimal.
• That means by shifting one digit to the right the binary number gets divided by 2 (5/2 = 2 in binary)
Shifting to the Left
• Shifting a binary number to the left is equivalent to multiplying it.
• If you shift once to the left , you multiply the binary number by 2
• If you shift twice to the left, you multiply the number by 4
How to Shift to the Left
Example: The number is 1 0 1
INSERT a ZERO in the Least Significant Bit (LSB) 1 0 1 1 0 1 0 LSB
Example Explanation
• The original number was 101 in binary which is equivalent to 5 in decimal.
• The answer after shifting to the left is 10 in decimal.
• That means by shifting one digit to the left the binary number gets multiplied by 2 (5*2=10)

Solve: 1. (110)2 x (2)10 = ( )2

2. (1011)2 x (4)10 = ( )2

Shift the following numbers twice to the left:

3. (111)2= ( )2

4. (1010)2= ( )2

Solve: 5. (110)2 / (2)10 = ( )2

6. (1011)2 / (4)10 = ( )2

Shift the following numbers twice to the right:

7. (111)2= ( )2

8. (1010)2= ( )2

please give me the full explanation for the answer

Question 1) Suppose we study consumer Nathan, who has a monthly income of $120 and derives utility from consuming burritos and video games at $10 per burrito and $30 per video game. Below is a list of all consumption bundles (QB, QVG) he is just able to afford, and their associated marginal utility data. Now please perform marginal analysis to determine Alex’s best bundle.

Question 2) Write Nathan's budget constraint equation (in the form of pBQB+pVGQVG=m).

Question 3) Draw his budget line on a QVG-QB diagram with QB on the horizontal axis.

Question 4) The table below lists three utility levels Nathan could reach and various (QB, QVG) consumption bundles that he would be indifferent about at each utility level. use this information to draw three Indifference Curves.

Question 5) Now put together Nathan's Indifference Curves and his Budget Line. Which point is his best consumption bundle? Why?

1. Use the statements below to fill in the blanks in the order they appear.
   When tryptophan is available in abundance for a long time, E. coli cells will ______________. When tryptophan levels rise temporarily, E. coli cells will ______________. _____
   When tryptophan levels temporarily drop, E. coli cells will ______________.

   1. turn off tryptophan synthesis at the enzymatic level via feedback inhibition.
   2. turn off tryptophan synthesis at the transcription level.
   3. turn off tryptophan synthesis at the enzymatic and transcription levels.
   4. turn on tryptophan synthesis at the transcription level.
   5. turn on tryptophan synthesis at the enzymatic level via feedback inhibition.

   	a.	1, 2, 3
   	b.	3, 1, 2
   	c.	4, 5, 1
   	d.	3, 1, 5
   	e.	2, 1, 4
   	f.	3, 4, 5

1. A new low fat/carbohydrate diet was designed to assist with weight loss. From a population of obese people, 100 are randomly selected to go on the new diet, while another 100 are selected to eat a diet of a similar quantity of food but not as low in fats and carbohydrates. The weight loss of each of the 200 people are in the Excel file "Extra HW 1 Diet Study". Use 0.05 significance and answer the following.

   1. Whataretheappropriatehypothesestotestwhetherthereisevidenceforadifferencein mean weight loss between people who eat these diets?

   2. Findtheappropriatet-scoreandP-value.

   3. StatetheconclusionofthetestinanEnglishsentence.

      Lowfat	Regular
      8	6
      10	6
      10	5
      12	5
      9	2
      3	6
      11	10
      7	3
      9	9
      2	11
      21	14
      8	4
      9	10
      2	13
      2	3
      20	8
      14	8
      11	13
      15	9
      6	3
      13	4
      8	12
      10	6
      12	11
      1	12
      7	9
      10	8
      13	5
      14	8
      4	7
      8	6
      12	2
      8	6
      10	8
      11	5
      19	7
      0	16
      9	18
      10	6
      4	8
      11	13
      7	1
      14	9
      12	8
      11	12
      12	10
      4	6
      12	1
      9	0
      2	13
      4	11
      3	2
      3	8
      5	16
      9	14
      9	4
      4	6
      3	5
      5	12
      12	9
      3	11
      12	6
      7	3
      13	9
      11	9
      11	14
      13	2
      12	10
      18	4
      9	13
      6	8
      14	1
      14	1
      18	4
      10	9
      11	4
      7	1
      9	1
      7	5
      2	6
      16	14
      16	0
      11	7
      11	12
      3	9
      15	5
      9	9
      5	12
      2	7
      6	9
      5	8
      11	9
      14	8
      11	10
      6	5
      9	8
      4	0
      17	3
      20	4
      10	8

Find the determinant of A by (repeatedly) expanding on the column or row of your choice.

A =

Let f₁ = 1 and f₂=1 and for all n>2 Let f_n = f_n-1+f_n-2. Prove that for all n, there is no prime p that divides noth f_n and f_n+1

Given following ODE's

1) x' = x / 1+t, with x(0) = 1 find x(2)

2) x' = t+x with x(0) = 1, find x(2)

3) x' = t-x, with x(1) =2 find x(3)

4) x' = t-x/t+x, with x(2) = 1, find x(4)

a) Solve each of the ODE's using Euler's method with h = 0.5, and calculate the relative error

i) x' = x/1+t: Approximation ____________________ Relative error: ________________

ii) x'= t+x; Approximation ____________________ Relative error: ________________

iii) x' = t-x; Approximation ____________________ Relative error: ________________

iv) x' = t-x/t+x; Approximation ____________________ Relative error: ________________

would you please sow me the steps?

Thank you.

Ex 3.41
Suppose X takes on the values −2,−1, 0, 1, 2 with probability 1/5 each, and let Y = X^^2. (a) Find Cov (X, Y). (b) Prove X and Y are independent and explain your steps.

1). Calculate the specific correlation coefficient for this data. What does r_xy = ? You can use the table on the last page for your calculations (This is the tough one).

2). Does there appear to be a correlation between these two variables? If yes, in what direction (positive or negative)?

3). What are three possible explanations for this correlational relationship? (Note – These can include “third variable” explanations).