Homer is studying the relationship between the average daily temperature and time spent watching television and has collected the data shown in the table. The line of best fit for the data is yˆ=−0.6x+94.5. Assume the line of best fit is significant and there is a strong linear relationship between the variables.

Temperature (Degrees) 40506070 Minutes Watching Television 70655952

(a) According to the line of best fit, what would be the predicted number of minutes spent watching television for an average daily temperature of 39 degrees? Round your answer to two decimal places, as needed.

Provide your answer below:

The predicted number of minutes spent watching television is:

And is the answer:

A: reliable and reasonable

B: unreliable but reasonable

C: unreliable and unreasonable

D: reliable but unreasonable

Let ? ∈ {1, 2} and ? ∈ {3, 4} be independent random variables with PMF-s: ??(1)= 1/2 ??(2)= 1/2 ??(3)= 1/3 ??(4)= 2/3

Answer the following questions

(a) Write down the joint PMF

(b) Calculate?(?+?≤5)and?(? −?≥2) 2 ?2+1

(c) Calculate ?(?? ), ?(? ? ), E ? −2
(d) Calculate the C??(?, ? ), C??(1 − ?, 3? + 2) and V??(2? − ? )

(?*) Calculate C??(??, ?), C??(??, ? + ? ) and V?? ?

What percent of undergraduate enrollment in coed colleges and universities in the United States is male? A random sample of 50 such institutions give the following data (Source: USA Today College Guide).

For this problem, use five classes.

(a) Find the class width.

(b) Make a frequency table showing class limits, class boundaries, midpoints, frequencies, relative frequencies, and cumulative frequencies.

(c) Draw a histogram.

(d) Draw a relative-frequency histogram.

(e) Categorize the basic distribution shape.

(f) Draw an ogive.

This question covers aspects and integration of personal development planning and data analysis skills towards professional engineering competencies for employability.

Consider the data-set shown in Table 2, which is a subset of employment statistics for the UK from between 2009 and 2018. For the dates specified, the data records an estimate of the number of thousands of engineering professionals, and of IT and Telecommunications professionals, classified according to sex.

Table 2 A subset of employment statistics for the UK from 2009 until 2018

Source: https://www.ons.gov.uk/employmentandlabourmarket/peopleinwork/employmentandemployeetypes/datasets/employmentbyoccupationemp04

• Imagine that you have been invited to a job interview where you will be asked to give a presentation to a non-expert audience. In advance of the interview you are sent the data in Table 2.
  • i.By use of appropriate representation identify and show three significant correlations or trends in the data, and suggest reasons for these trends. Include your representation as part of your answer, together with descriptions of the three correlations or trends you have identified.
  • ii.Comment on the reliability of your observations of the trends in the data.

Suppose that each of two investments has a 4% chance of a loss of $10 million, a 2% chance of a loss of $1 million, and a 94% chance of a profit of $1 million. They are independent of each other.
a. What is the VaR for one of the investments when the confidence level is 95%?
b. What is the expected shortfall for one of the investments when the confidence level is 95%?
c. What is the VaR for a portfolio consisting of the two investments when the confidence level is 95%?
d. What is the expected shortfall to a portfolio consisting of the two investments when the confidence level is 95%?
e. Show that in this example VaR does not satisfy the subadditivity condition whereas expected shortfall does.

In the following sentences determine the appropriate sampling A, B, C or D

A --- RANDOM (SIMPLE RANDOM SAMPLING)
B --- SYSTEMATIC
C --- STRATIFIED
D --- Cumulative (CONGLOMERATES)

1- A company is divided by DIRECTIVES, EMPLOYEES, SECRETARIES AND WORKERS. It is wanted to make a study to know the level of satisfaction in relation to the benefits that the company has. The head of human resources decides to take a random sample of each category.

2- A university career has “N” students identified in an easy way, the director wants to see the opinion regarding the enrollment process, decides to start in tenth of the entire list and take the sample every 30 items on the list.

3- A university career has “N” students identified per semester (first semester, second semester, ..., ninth semester in an easy way, the principal wants to see the opinion regarding the enrollment process, decides to select 2 semesters and survey all .

4- A university degree has “N” students identified in an easy way, the principal wants to see the opinion regarding the enrollment process, decides to use a random digit table to obtain the sample.

Using the chart below, create a graph that would be appropriate to display age range statistics. First row (1,2,3,4,5) is the header row and should not be included in your graph.

Instructions: Using the numbers in the above chart, select the appropriate graphic representation to use if the data represented age. Using your graph what conclusions can you reach about the primary age group served? At what age group should resources be focused?

Purchasing agent Angela Rodriguez reported the number of sales calls she received from suppliers on each of the past 14 days. Compute the variance for her daily calls during the 14-day period. Treat the data as a sample.

a. 1.88

b. 1.14

c. 1.67

d. .78

e. 1.31

1. A store sells three different clothing designs and has recorded sales of each over five different 24-hour periods:

Design A         Design B         Design C

     16                    33                    23

     18                    31                    27

     19                    37                    21

     17                    29                    28

     13                    34                    25

Use the Kruskal-Wallis H test and the Chi-Square table at the 0.05 level to compare the three designs.

Use the data consisting of IQ score and brain volume

​(cm cubedcm3​).

Find the best predicted IQ score for someone with a brain volume of 1003 cm cubed. Use a significance level of 0.05.

Brain Volume   IQ score

900 85

1275 102

936 102

1444 98

1473 112

1263 129

1090 93

1218 89

1324 89

1364 82

942 97

1490 129

1339 82

1159 85

1087 92

964 127

1138 113

1058 93

1365 96

1081 115

The regression equation is? ( round the x- coefficient five decimal places as needed. round the constant to two decimal places as needed.)

The heights of a female population follow a normal distribution with a mean of 48 inches and a standard deviation of 6 inches. If a random sample of 16 subjects were taken, what is the probability that the average height of the sample is higher than 50 inches?

Listed below are systolic blood pressure measurements​ (in mm​ Hg) obtained from the same woman. Find the regression​ equation, letting the right arm blood pressure be the predictor​ (x) variable. Find the best predicted systolic blood pressure in the left arm given that the systolic blood pressure in the right arm is

8585

mm Hg. Use a significance level of

0.050.05.

PrintDone

What is the regression equation?

The data show the chest size and weight of several bears. Find the regression​ equation, letting chest size be the independent​ (x) variable. Then find the best predicted weight of a bear with a chest size of

3939

inches. Is the result close to the actual weight of

126126

​pounds? Use a significance level of 0.05.

PrintDone

What is the regression equation?

A survey of the members of a large professional engineering society is conducted to determine their views on proposed

changes to an ASTM measurement standard. Overall 80% of the entire membership favor the proposed changes.

(a) If possible, describe the center, dispersion, and shape of the sampling distribution of the proportion of engineers for

samples of size 20 who favor the proposed changes. Explain your answer including which of these three aspects of

distribution you can & cannot describe and why.

(b) If possible, describe the center, dispersion, and shape of the sampling distribution of the proportion of engineers for

samples of size 50 who favor the proposed changes. Explain your answer including which of these three aspects of

distribution you can & cannot describe and why.

Use the given data to find the equation of the regression line. Examine the scatterplot and identify a characteristic of the data that is ignored by the regression line.

y(^ above the y)=?+?. Round to two decimals as needed.