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When we use a least-squares line to predict y values for x values beyond the range of x values found in the data, are we extrapolating or interpolating? Are there any concerns about such predictions?
Suppose a researcher goes to a small college of 200 faculty, 12 of which have blood type O-negative. He obtains a simple random sample of n = 20 of the faculty. Let the random variable X represent the number of faculty in the sample of size that have blood type O-negative.
(a) What is the probability that 3 of the faculty have blood type O-negative? (Round your answer to the nearest thousandth).
(b) What is the probability that a none (x = 0) of the faculty has blood type O-negative? (Round your answer to the nearest thousandth).
Suppose your class of Management got the following results in Spring 2020 (one record for each student) Table 3: Result of marketing students
Student Id
Communication Skills
Punctuality
Class Participation
Final
1
25
19.4
10.4
4.2
2
23
2.3
2.2
2.4
3
10.5
1.9
7.1
6.1
4
7.2
1.4
4.3
8.2
5
3.7
7.9
8.5
2.2
6
5.1
7.6
10.6
9.9
7
7.2
2.3
8.8
6.4
8
10.1
3.2
6.9
4.8
a. Using k-means clustering, divide the data into twi groups. Show your calculations up to two iterations.
b. What analysis do you make after performing this descriptive data mining step? Discuss the basic characteristics of each of these two groups of students
A manufacturer of sprinkler systems designed for fire protection claims that the average activating temperature is 135 to test this claim, you randomly selected a sample of 32 systems and find evidence to reject the manufacturer's be 135.7 with a standard deviation of 3.3 at a=0.10, do you have enough evidence to reject the manufacturer's claim?
Consider the following discrete probability
distribution:
P(x)
3 0.13
6 9 0.12 0.15
12 0.60
a. Calculate the variance and standard deviation of the
random variable. b. Let y=x+7. Calculate the variance and standard
deviation of the random variable y. c. Let z = 7x. Calculate the variance and standard
deviation of the random variable z. d. From your calculations in part a and part b,
indicate the effect that adding a constant to a random variable has on its variance and standard deviation..
e. From your calculations in part a and part c, indicate the effect that multiplying a random variable with a constant has on the variance and the standard deviation of the random variable.
What z score values represents the middle 90% of the values in a normal distribution?
Suppose a researcher goes to a small college of 200 faculty, 12 of which have blood type O-negative. He obtains a simple random sample of n = 20 of the faculty. Let the random variable X represent the number of faculty in the sample of size that have blood type O-negative.
(a) What is the probability that 3 of the faculty have blood type O-negative? (Round your answer to the nearest thousandth).
Sales, in millions of pesos, of a certain company are shown here.
YEAR(X)
1
2
3
4
5
6
7
8
9
10
SALES(Y)
P12
P15
P17
P18
P16
P19
P21
P20
P22
P24
Determine the regression equation. Solve for the sum of squares for error, standard error, coefficient of determination. Find the 90% confidence interval for all year for the 12th year. Determine a 95% prediction interval for the 12th year.
Step 1: Complete the table
Step 2: solve for the following:
Slope(b1):
Intercept(bo):
Simple linear regression equation:
Standard error of estimate(SE):
Coefficient of Determination(r2):
Confidence interval:
Prediction interval:
A musical director wants a line across the stage consisting of 25 people playing the following instruments: 8 trumpets, 7 clarinets, 5 flutes, 4 trombones and 1 drum. He has to choose the musicians from a group of 25 peoples. Each person in the group can play any of the instruments mentioned. The director is only concerned with the arrangement of the instruments, that is, he views all the players as identical.
a)How many arrangements are possible?
b)How many arrangements are possible if the director decides to put the drum in the centre, the trumpets and trombones on the left and the clarinets and flutes on the right?
What z- score value represents the middle 90% of the value in a normal distribution?
#332078 on Oct 2022