5. A researcher is interested in the relationship between water consumption and productivity. She records the amount of water consumed along with the number of hours spent studying four participants. The data for this hypothetical study is listed in the table below. Water Consumption Productivity (in ounces) (in hours) 8. 4 16 8. 20 6. 28 10 a. Compute the correlation for this data b. What is the predictor? c. What is the criterion? d. Compute the regression equation for this data e. What percentage of the variance in productivity is accounted for the ounces of water consumption? f. What is the predicted number of productivity hours for someone who consumes 36 ounces of water? g. Sketch a scatterplot of the data. Overlay the regression line onto the scatter plot.

Q: y 60° V3

A: We apply sine rule SinA/a = SinB/b = SinC/c

Q: 14 51°

A: Given triangle is right angle triangle. So,         Use trig identity sine.

Q: 20 39

A:

Q: 3 da Evaluate a+2 A. 3 B. 2 С. 1 D. 0

A:

Q: 20 60°

A:

Q: Find tan L

A: Given,

Q: and Fa 14,1 4,6) parsing through

A: Topic :- conic section

Q: Jo 1 X dx =

A:

Q: W 106° U ? V

A: To find the measure of unknown angle m∠UVW.

Q: 2. 4-4i 3. 2. -2 21

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: 00 3 .a 3. 8. 16

A: Given integration is ∫0∞x9 e-x4dx

Q: 2 2 60° 30°

A:

Q: tan-+cotx%= 27 /2

A:

Q: . Find the range of n 39 K Y 98° 85° 4n – 11 N

A: Given : two triangles ∆XYZ  and  ∆KLJ To find : range of 'n' Pre-requisite : SAS similarity theorem…

Q: Question 4: Find "a" and "x"| B 81 D.

A: Use the property of cyclic quadrilateral. The sum of the opposite angles are 180°.

Q: 3cis(75°)

A: we have to solve the following

Q: -2 -1 0 1 NM 3 -1 -6 -1 39

A:

Q: Solve the following equations by graphing: x+y=3 x-y=3

A:

Q: Question 1 Evaluate r dr = -r" +C. a a = b 3= d =

A:

Q: CON C 36 45

A: Given that  Triangle ABC is a right angled triangle in which angle B is right angle AB=36  BC=27…

Q: 24h5i4j2

A: 36h⁸ i⁴ j⁶ ÷ 24h⁵ i⁴ j² = (1.5)h³ i⁰ j⁴ = 3h³j⁴/2

Q: Complete each step. a'a6 a4 a7 + q6 a' + a` a4 13 a' - 4 - P %3D II

A: To simplify: The expression . Formula used: Exponent rule: Calculation: The expression can be…

Q: m23 3 220°

A: We have to find the missing angle.

Q: Find z. * 5z° 4z° 3z° 5z 3z° A E 24 26 27 36

A: Sum of the interior angles of polygon=   (n-2)×180, where n is number of sides of polygon

Q: Calculate each of the following: 48 а. 6 -30 b. 42 С. - 7 | - 49 d. - 7 II

A:

Q: 13 3 A 3 B D

A: Let angle ∠CAB=θ We know that, tanθ=perpendicular sideadjacent side In right angled △ABC.…

Q: MLFMR 31° No M 72 F О 31° O 72° O 257° O 103°

A:

Q: 4 75° 5.

A: Given that:

Q: A B D) e22 E

A: To find  ∫1ex2-1xdx Formulae used ∫xndx=xn+1n+1∫1xdx=ln x∫abf'(x)dx=f(b)-f(a)

Q: 39, 54°

A:

Q: The points A and B are at opposite ends of a lake. Point C is 2 miles from point A and point C is 3…

A: Topic- cosine law in the triangle

Permutations and Combinations

If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.

Counting Theory

The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.