To test whether there is an association between overtime hours of employees with the value of performance obtained, then a random sample was taken at an agency of 12 employees. The 12 employees were then asked about their average overtime hours during the day and the value of the performance obtained. The average data of overtime hours per day and the performance values obtained by the employees are as follows
|
Employee |
Overtime Hour |
Value o Performances |
|
A |
5 |
81 |
|
B |
2 |
62 |
|
C |
4 |
74 |
|
D |
10 |
78 |
|
E |
7 |
93 |
|
F |
1 |
69 |
|
G |
6 |
72 |
|
H |
5 |
83 |
|
I |
8 |
90 |
|
J |
3 |
84 |
|
K |
6 |
58 |
|
L |
9 |
62 |
Question:
a. Look for the association value between overtime hours and the
performance value
b. Test at a 5 percent significance level that there is a positive
association between overtime hours and the value of
performance.
c. Draw the test results from the answers (a) and (b) above
In: Statistics and Probability
Sectors will at some time interact with other sectors as part of their financial dealings. Two sectors which will interact with each other are Accounting-Bookkeeping.Describe the interaction which takes place between them. List at least two benefits that interaction between these parties can have for financial services and/or their customers.
In: Accounting
A financial planner tracks the number of new customers added each quarter for a 6 year period. The data is presented below:
Year Quarter New Year Quarter New
2014 I 31 2017 I 69
II 24 II 54
III 23 III 46
IV 16 IV 32
2015 I 42 2018 I 82
II 35 II 66
III 30 III 51
IV 23 IV 38
2016 I 53 2019 I 91
II 45 II 72
III 39 III 59
IV 27 IV 41
Create a simple linear trend regression model. Let t=0 in 2013: IV. This is a computer deliverable.
(a) Interpret the slope coefficient.
(b) Test to see if the number of new customers is increasing over time. Use alpha = 0.01.
(c) Test to see if the model has explanatory power. Use alpha = 0.05.
(d) Forecast the number of new customers in the first and second quarters of 2020.
Create a multiple regression equation incorporating both a trend (t=0 in 2013: IV) and dummy variables for the quarters. Let the first quarter represent the reference (or base) group. Complete (e) thru (h) using your results. This is a computer deliverable.
(e) Test to see if there is an upward trend in new customers. Use alpha = 0.01.
(f) Test to see if the model has explanatory power. Use alpha = 0.05.
(g) Forecast the number of new customers in the first and second quarters of 2020.
(h) Test for the existence of first order autocorrelation, use alpha = 0.05. The calculated dw = 1.19.
In: Statistics and Probability
# Reading the data into R:
my.datafile <- tempfile()
cat(file=my.datafile, "
71 15
74 19
70 11
71 15
69 12
73 17
72 15
75 19
72 16
74 18
71 13
72 15
73 17
72 16
71 15
75 20
71 15
75 19
78 22
79 23
72 16
75 20
76 21
74 19
70 13
", sep=" ")
options(scipen=999) # suppressing scientific notation
simpbasketball <- read.table(my.datafile, header=FALSE, col.names=c("height", "goals"))
COMPUTER CALCULATIONS:
I need to know how to code in R for the solutions, not by hand.
2. Look at the data in Table 7.18 on page 368 of the textbook. These data are also
given in the SAS code labeled “SAS_basketball_goal_data” and R code labeled basketball goal data .
The dependent variable is goals and the independent variable is height of basketball players.
Complete a SAS /R program and answer the following questions about the data set:
(a) Does a scatter plot indicate a linear relationship between the two variables?
Is there anything disconcerting about the scatter plot? Explain.
(b) Fit the least-squares regression line (using SAS / R) and interpret the estimated slope
in the context of this data set. Does it make sense to interpret the estimated intercept? Explain.
(c) For these data, what is the unbiased estimate of the error variance? (Give a number.)
(d) Using the SAS / R output, test the hypothesis that the true slope of the regression line
is zero (as opposed to nonzero). State the appropriate null and alternative hypotheses,
give the value of the test statistic and give the appropriate P-value. (Use significance
level of 0.05.) Explain what this means in terms of the relationship between the two
variables.
(e) Using SAS / R, find a 95% confidence interval for the mean basketball goal for
a player with a height of 77 inches. In addition find a 95% prediction interval for
basketball goal for a player with a height of 77 inches.
In: Statistics and Probability
In: Economics
The SAT and the ACT are the two major standardized tests that colleges use to evaluate candidates. Most students take just one of these tests. However, some students take both. The data data34.dat gives the scores of 60 students who did this. How can we relate the two tests?
(a) Plot the data with SAT on the x axis and ACT on the
y axis. Describe the overall pattern and any unusual
observations.
(b) Find the least-squares regression line and draw it on your
plot. Give the results of the significance test for the slope.
(Round your regression slope and intercept to three decimal places,
your test statistic to two decimal places, and your
P-value to four decimal places.)
| ACT = ______ | +_______ (SAT) |
| t =_______ | |
| P = _______ |
(c) What is the correlation between the two tests? (Round your
answer to three decimal places.) (_______)
obs sat act 1 1104 23 2 786 16 3 668 18 4 1062 20 5 1025 21 6 1254 29 7 1183 21 8 908 12 9 837 22 10 695 12 11 1043 21 12 735 18 13 884 17 14 1269 28 15 968 21 16 1034 22 17 1070 25 18 826 19 19 750 16 20 1043 21 21 854 23 22 1063 26 23 866 21 24 1021 18 25 719 10 26 1134 27 27 932 20 28 1069 22 29 904 20 30 839 23 31 998 20 32 672 17 33 1199 26 34 775 22 35 1195 31 36 795 15 37 776 18 38 888 19 39 967 22 40 915 23 41 792 18 42 663 20 43 745 13 44 615 14 45 844 18 46 745 15 47 950 24 48 967 21 49 1258 27 50 983 21 51 915 21 52 1041 19 53 902 25 54 932 23 55 858 16 56 966 22 57 784 18 58 1082 27 59 868 20 60 992 24
In: Statistics and Probability
some food service profesionals fed the best way to improve profits is to reduce costs. others feel that increasing revenue is the best way to increase profits. what are three steps managers can take to reduce current costs? what steps can a manager take to increase revenue?
In: Accounting
(a) Taxes are primary revenue yielding tools of the Government of modern ages. You are required to state any three non-revenue objectives which the Government achieves by imposing taxation. (05) (b) List any five taxes which can be imposed by the Federal Government.
(solve in the context of pakistan)
In: Accounting
Schedule of Cash Collections of Accounts Receivable
OfficeMart Inc. has "cash and carry" customers and credit customers. OfficeMart estimates that 30% of monthly sales are to cash customers, while the remaining sales are to credit customers. Of the credit customers, 20% pay their accounts in the month of sale, while the remaining 80% pay their accounts in the month following the month of sale. Projected sales for the next three months are as follows:
| October | $126,000 |
| November | 158,000 |
| December | 231,000 |
The Accounts Receivable balance on September 30 was $84,000.
Prepare a schedule of cash collections from sales for October, November, and December. Round all calculations to the nearest whole dollar.
| OfficeMart Inc. | |||
| Schedule of Cash Collections from Sales | |||
| For the Three Months Ending December 31 | |||
| October | November | December | |
| Receipts from cash sales: | |||
| Cash sales | $ | $ | $ |
| September sales on account: | |||
| Collected in October | |||
| October sales on account: | |||
| Collected in October | |||
| Collected in November | |||
| November sales on account: | |||
| Collected in November | |||
| Collected in December | |||
| December sales on account: | |||
| Collected in December | |||
| Total cash receipts | $ | $ | $ |
----------------------------------------------------
Horizon Financial Inc. was organized on February 28. Projected selling and administrative expenses for each of the first three months of operations are as follows:
| March | $111,900 |
| April | 105,200 |
| May | 95,700 |
Depreciation, insurance, and property taxes represent $24,000 of the estimated monthly expenses. The annual insurance premium was paid on February 28, and property taxes for the year will be paid in June. 75% of the remainder of the expenses are expected to be paid in the month in which they are incurred, with the balance to be paid in the following month.
Prepare a schedule of cash payments for selling and administrative expenses for March, April, and May.
| Horizon Financial Inc. | |||
| Schedule of Cash Payments for Selling and Administrative Expenses | |||
| For the Three Months Ending May 31 | |||
| March | April | May | |
| March expenses: | |||
| Paid in March | $ | ||
| Paid in April | $ | ||
| April expenses: | |||
| Paid in April | |||
| Paid in May | $ | ||
| May expenses: | |||
| Paid in May | |||
| Total cash payments | $ | $ | $ |
In: Accounting
In a survey of 1407 people, 1077 people said they voted in a recent presidential election. Voting records show that 74% of eligible voters actually did vote. Given that 74% of eligible voters actually did vote, (a) find the probability that among 1407 randomly selected voters, at least 1077 actually did vote. (b) What do the results from part (a) suggest?
In: Statistics and Probability