An article in the journal of the american ceramic society,“rapid hot-pressing of ultrafine psz powders” (1991,vol. 74, pp. 1547–1553) considered the microstructure of theultrafine powder of partially stabilized zirconia as a function oftemperature. the data are shown below: x = temperature (°c) 1100 1200 1300 1100 1500 1200 1300y = porosity (%) 30.8 19.2 6 13.5 11.4 7.7 3.6fit the simple linear regression model using the method of leastsquares. find the least squares estimates of the intercept(a) and slope (b) in the simplelinear regression model. find an estimate of (c).estimate the mean porosity for a temperature of 1406 °c() = ) = ) = ) =

thanks for the points 1=1==1=1=14+6-3=2

Step-by-step explanation:

12 is ten percent of 120

Step-by-step explanation:

answer:

step-by-step explanation:

1) b. approximately 68% of data falls within 1 standard deviation (±1) of the mean.

2) c. approximately 95% of data falls within 2 standard deviations (±2) of the mean.

3) d. the majority of the data is split to the right and left of the mean.

4) mean =55.5 and sds = 9.6: std error = 3.2

i.e. (55.5-9.6. 55.5+9.6)

actual data lying is 70%

d. 80%; this percentage is higher than expected in a normal distribution.

5) mean = 47.5: sd= 7.20

within 1 std dev= (40.3,52.7)

b. 80%; this percentage is higher than expected in a normal distribution.

6) c. 32.1%

7) a. 11.8%

8) d. 37%

9)b. 21%

10) area of yellow square/area of green square = 16/64 = 0.25

a. 0.25

answer:

1. b

2. c

3. c

4. b

5. d

6. c

7. a

8. d

9. b

10. c

step-by-step explanation:

the standard deviation tells us the "dispersion" there is from the mean (average).

for normal distributions,

we know that 68% of the data lies within 1 standard deviation, 95% of the data lies within 2 standard deviation, and 99% of the data lies within 3 standard deviations of the mean (average).

** they all lie to the left (negative) and right (positive) of the mean

1. from the discussion above, we can say that "approximately 68% of data falls within 1 standard deviation (±1) of the mean." -- answer choice b is right.

2. also from above discussion, we can say that "approximately 95% of data falls within 2 standard deviations (±2) of the mean." -- answer choice c is right.

3. a normal distribution takes the shape of a "bell curve" where most of the data is in the center (with the mean) and gradually decreases tot he left and right symmetrically. answer choice c is right.

4. the mean of the data set is  

the standard deviation is given by the formula:

this means that we take each value (from the data set) and subtract the mean from it and take square of it. we sum all of them and divide by the number of numbers (n=10). then we square root the number to get standard deviation.

** being such a big calculation, i am not showing this, rather writing out the answer using a calculator ***

standard deviation = 9.06

the interval within 1 standard deviation of the mean is:

(55.5 - 9.06 , 55.5 + 9.06) = (46.44, 64.56)

the number of data that falls within this interval is 6, or 60% (6 out of 10)

as we know from before, 68% should fall within 1 st. dev. of the mean, but this number is lower.

answer choice b is right.

5. we follow the same process as question #4.

mean =

the standard deviation is given by the formula:

** being such a big calculation, i am not showing this, rather writing out the answer using a calculator ***

standard deviation = 7.20

the interval within 1 standard deviation of the mean is:

(47.9 - 7.20 , 47.9 + 7.20) = (40.7, 55.1)

the number of data that falls within this interval is 9, or 90% (9 out of 10)

as we know from before, 68% should fall within 1 st. dev. of the mean, but this number is much higher.

answer choice d is right.

6. the formula is given as:

where

n is the total games (n=6)

x is what we are looking for in the question (x=4 since we want probability of 4 win)

p is probability of win (given as 0.623)

q is probability of losing (q = 1 - p = 1 - 0.623 = 0.377)

substituting all the information in the formula we get:

which, in percentage, 32.1%

7.

this is similar to question #6.

the formula is:

where

n is the total number of questions (n=10)

x is what we are looking for in the question (x=7 since we want probability of 7 right)

p is probability of right (since true or false, probability is 0.5)

q is probability of losing (q = 1 - p = 1 - 0.5 = 0.5)

substituting all the information in the formula we get:

in percentage, that's 11.8%

8.

the formula is:

where

n is the total number of batteries (n=16)

x is what we are looking for in the question (x=1 since we want probability of 1 of them being defective)

p is probability of defective (given as 0.05)

q is probability of not defective (q = 1 - p = 1 - 0.05 = 0.95)

substituting all the information in the formula we get:

in percentage, that's 37%

9.

the formula is:

where

n is the total number of births (n=10)

x is what we are looking for in the question (x=6 since we want probability of 6 of them being boys)

p is probability of boy (given as 0.51)

q is probability of not boy (q = 1 - p = 1 - 0.51 = 0.49)

substituting all the information in the formula we get:

in percentage, that's 21%

10. based on the target description, the green region is:

green region = area of green - area of yellow

since area of square is side * side , so we have

area of green = 8*8=64

area of yellow = 4*4=16

green region = 64 - 16 = 48

total area is the area of the green square, which is 64.

since we need probability of hitting green region, we divide 48 (area of green region) by 64 (total area of the target). hence we have:

probability of hitting =

Question 1:

14 m × 10 m

Question 2:

0.8 ft × 1 ft

Question 3:

True

Question 4:

10 square units

Question 5:

More than 2

Question 6:

(Sorry I can't answer this question since there is no graphic shown)

Question 7:

(Again, there's no picture, therefore I can't answer your question)

Question 8:

37.7 feet

Question 9:

7.1 square feet

Question 10:

Rectangle

Question 11:

Sorry there is no picture to go with the problem so I can't help you :(

Sorry I couldn't answer all of the questions. I hope this help you though.

Solved below.

Step-by-step explanation:

The data is provided for the starting salary (in $1,000) at some company and years of prior working experience in the same field for randomly selected 10 employees.

(a)

The formula to compute the correlation coefficient is:

The required values are computed in the Excel sheet below.

Thus, the sample correlation coefficient r is 0.9855.

(b)

The slope of the regression line is:

Thus, the slope of the regression line is 2.132.

(c)

The y-intercept of the line is:

Thus, the y-intercept of the line is 45.418.

(d)

The equation of the sample regression line is:

(e)

Compute the predicted starting salary for a person who spent 15 years working in the same field as follows:

Thus, the predicted starting salary for a person who spent 15 years working in the same field is $77.4 K.

THIS IS FOR YELLOWSTONE:

What do you want to find out? I want to compare the populations of three different species in Yellowstone Park.

POPULATION 1 (y1) - GRIZZLY BEARS

1. Increasing

2. Years 0-1: 0.5  Years 5-10: 2.5

3. 7.0

4. Exponential

POPULATION 2 (y2) - POCKET GOPHERS

5. 60.7

6. 50.1

7. Quadratic

8. 20.6

POPULATION 3 (y3) - OSPREY

9. 9.0, year 5

10. 5.0, decrease

11. Polynomial

12. (1,4)

13.

A - 9-7=2.0

B - 7-4=3.0

C - 1.5 because the population decreases by 0.5 each year.

(These are all my personal answers for this assignment and I hope they help you!)

intercept: 55.6256slope: -0.0341585

Step-by-step explanation:

This sort of problem is best worked by a tool such as a graphing calculator or spreadsheet.

Um hey did u ever get the answers to this??