How effective is the regression model for these data? not effective, because only 13.4% of the variation in the data is explained by the model not effective, because only 36.6% of the variation in the data is explained by the model extremely effective, because 13.4% of the variation in the data is explained by the model extremely effective, because 36.6% of the variation in the data is explained by the model

Answers

Answer 1

Answer:

Answer:45

Step-by-step explanation:

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1)What is the common ratio of the following geometric sequence?
100, 150, 225, 337.5, ...
A. 50
B. 0.5
C. 1.5
D. 1.25

Answers

Answer:

Step-by-step explanation:

hello :

the common ratio is : 3375/225=225/150=150/100 = 1.5

What is the value of the function at x = 2?

Answers

check the picture below.

Listed are 32 ages for Academy Award winning best actors in order from smallest to largest. (Round your answers to the nearest whole number.) 18; 18; 21; 22; 25; 26; 27; 29; 30; 31; 31; 33; 36; 37; 37; 41; 42; 47; 52; 55; 57; 58; 62; 64; 67; 69; 71; 72; 73; 74; 76; 77

(a) Find the percentile of 37. th percentile
(b) Find the percentile of 72. th percentile

Answers

Answer:

a) 37th percentile: 33 years

b) 72nd percentile: 62 years

Step-by-step explanation:

The kth percentile divides the data into two: on the one hand the lowest k% of the data, and on the other the (1-k)% higher of the data.

For the list provided, the 37th percentile falls to the age of 33. This means that 37% of the data are for ages under 33 years.

The 72nd percentile falls at the age of 62 (72% of the ages fall below 62 years).

AGE PERCENTILE

18 6%

21 9%

22 13%

25 16%

26 19%

27 22%

29 25%

30 28%

31 34%

33 38%

36 41%

37 47%

41 50%

42 53%

47 56%

52 59%

55 63%

57 66%

58 69%

62 72%

64 75%

67 78%

69 81%

71 84%

72 88%

73 91%

74 94%

76 97%

77 100%

Final answer:

The percentile rank of 37 among Academy Award-winning best actors is the 45th percentile, and the percentile rank of 72 is the 87th percentile. These are determined by their positions in the ordered list and the total number of ages listed.

Explanation:

Finding the Percentiles of Ages for Academy Award-winning Best Actors

To find the percentile for a given age in a sorted list, use the formula:

Percentile Rank = (Number of values below your score + 0.5) / Total number of scores x 100

a. To find the percentile of 37 from the list of ages, we must first locate 37 within the ordered list. There are two values of 37, so we use the position of the second 37 for our calculation since it is the last occurrence of that value. This position is 15th in the list. Using the percentile rank formula, we calculate:

Percentile Rank of 37 = (14 + 0.5) / 32 x 100 = 45th percentile (rounded to the nearest whole number).

b. To find the percentile of 72, we find the position of 72, which is 28th in the list. Using the same formula:

Percentile Rank of 72 = (27 + 0.5) / 32 x 100 = 87th percentile (rounded to the nearest whole number).

Therefore, an actor who won the Academy Award at age 37 would be in the 45th percentile of ages of all such actors, while an actor who won at age 72 would be in the 87th percentile.

Differentiating a Logarithmic Function in Exercise, find the derivative of the function. See Examples 1, 2, 3, and 4.y = (ln x2)2

Answers

Answer:

$(dy)/(dx)=(8lnx)/(x)$

Step-by-step explanation:

We are given that a function

$y=(lnx^2)^2$

We have to find the derivative of the function

Differentiate w.r.t x

$(dy)/(dx)=2(lnx^2)* (1)/(x^2)* 2x$

By using formula

$(d(lnx))/(dx)=(1)/(x)$

$(dx^n)/(dx)=nx^(n-1)$

$(dy)/(dx)=(4lnx^2)/(x)=(4(2)lnx)/(x)$

by using $lnx^y=ylnx$

Hence, the derivative of function

$(dy)/(dx)==(8lnx)/(x)$

Answer: The required derivative is $(dy)/(dx)=\nfrac{4}{x\ln x^2}$

Step-by-step explanation:

Since we have given that

$y=(\ln x^2)^2$

We need to derivative it w.r.t 'x'., using "Chain rule"

As we know that

$(d)/(dx) \ln x=(1)/(x)\n\nand\n\n(d)/(dx)x^n=nx^(n-1)$

So, it becomes,

$(dy)/(dx)=(1)/(\ln (x^2)^2)* 2\ln(x^2)* (1)/(x^2)* 2x\n\n(dy)/(dx)=(4)/(x\ln x^2)$

Hence, the required derivative is $(dy)/(dx)=\nfrac{4}{x\ln x^2}$

On a coordinate plane, a line goes through (0, negative 3) and (2, 2). A point is at (2, negative 3).Complete the statements about finding the equation of the line that is parallel to line n and passes through point (2, –3).

The slope of the graphed line is
.
The slope of the parallel line is
.
An equation that can be used to find the y-intercept of the parallel line is
.
The y-intercept of the parallel line is
.
The equation of the parallel line is
.

Answers

Answer:

5/2, 5/2, -3= (5/2)(2)+b, -8, y=(5/2)x-8

Step-by-step explanation:

Answer:

The slope of the graphed line is

✔ 5/2

The slope of the parallel line is

✔ 5/2

An equation that can be used to find the y-intercept of the parallel line is

✔ –3 = (5/2)(2) + b

The y-intercept of the parallel line is

✔ –8

The equation of the parallel line is

✔ y = (5/2)x – 8

Step-by-step explanation:

Suppose that instead of using natuarl logarithma to compute b, we use logarithms with the base 10 and define b=(log r)/(log 2). Does this change the value of b?

Answers

Answer:

Yes it changes the value of b.

Step-by-step explanation:

Natural log is log with base e = 2.71828.

$ln(2)=log_(e)(2)=0.693\n\nwhere as\n\nlog_(10)(2)=0.301\n$

From this we can conclude that value b when calculated with log to base 10 instead of natural log, value of b will change.

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