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HW2
Yuchen Zou
2024-04-15
#Q13
##a
library
(ISLR2)
## Warning: package 'ISLR2' was built under R version 4.2.3
View(Weekly)
attach
(Weekly)
names(Weekly)
## [1] "Year" "Lag1" "Lag2" "Lag3" "Lag4" "Lag5" ## [7] "Volume" "Today" "Direction"
dim(Weekly)
## [1] 1089 9
summary(Weekly)
## Year Lag1 Lag2 Lag3 ## Min. :1990 Min. :-18.1950 Min. :-18.1950 Min. :-18.1950 ## 1st Qu.:1995 1st Qu.: -1.1540 1st Qu.: -1.1540 1st Qu.: -1.1580 ## Median :2000 Median : 0.2410 Median : 0.2410 Median : 0.2410 ## Mean :2000 Mean : 0.1506 Mean : 0.1511 Mean : 0.1472 ## 3rd Qu.:2005 3rd Qu.: 1.4050 3rd Qu.: 1.4090 3rd Qu.: 1.4090 ## Max. :2010 Max. : 12.0260 Max. : 12.0260 Max. : 12.0260 ## Lag4 Lag5 Volume Today ## Min. :-18.1950 Min. :-18.1950 Min. :0.08747 Min. :-18.1950 ## 1st Qu.: -1.1580 1st Qu.: -1.1660 1st Qu.:0.33202 1st Qu.: -1.1540 ## Median : 0.2380 Median : 0.2340 Median :1.00268 Median : 0.2410 ## Mean : 0.1458 Mean : 0.1399 Mean :1.57462 Mean : 0.1499 ## 3rd Qu.: 1.4090 3rd Qu.: 1.4050 3rd Qu.:2.05373 3rd Qu.: 1.4050 ## Max. : 12.0260 Max. : 12.0260 Max. :9.32821 Max. : 12.0260 ## Direction ## Down:484 ## Up :605 ## ## ## ## class(Direction)
## [1] "factor"
contrasts(Direction)
## Up
## Down 0
## Up 1
pairs(Weekly)
cor(Weekly[, -9])
## Year Lag1 Lag2 Lag3 Lag4
## Year 1.00000000 -0.032289274 -0.03339001 -0.03000649 -0.031127923
## Lag1 -0.03228927 1.000000000 -0.07485305 0.05863568 -0.071273876
## Lag2 -0.03339001 -0.074853051 1.00000000 -0.07572091 0.058381535
## Lag3 -0.03000649 0.058635682 -0.07572091 1.00000000 -0.075395865
## Lag4 -0.03112792 -0.071273876 0.05838153 -0.07539587 1.000000000
## Lag5 -0.03051910 -0.008183096 -0.07249948 0.06065717 -0.075675027
## Volume 0.84194162 -0.064951313 -0.08551314 -0.06928771 -0.061074617
## Today -0.03245989 -0.075031842 0.05916672 -0.07124364 -0.007825873
## Lag5 Volume Today
## Year -0.030519101 0.84194162 -0.032459894
## Lag1 -0.008183096 -0.06495131 -0.075031842
## Lag2 -0.072499482 -0.08551314 0.059166717
## Lag3 0.060657175 -0.06928771 -0.071243639
## Lag4 -0.075675027 -0.06107462 -0.007825873
## Lag5 1.000000000 -0.05851741 0.011012698
## Volume -0.058517414 1.00000000 -0.033077783
## Today 0.011012698 -0.03307778 1.000000000
boxplot(Today~Direction)
##b
logistic_model<- glm(Direction~ Lag1 + Lag2 + Lag3 + Lag4 + Lag5 + Volume,family = binomial, da
ta = Weekly) summary(logistic_model)
## ## Call:
## glm(formula = Direction ~ Lag1 + Lag2 + Lag3 + Lag4 + Lag5 + ## Volume, family = binomial, data = Weekly)
## ## Deviance Residuals: ## Min 1Q Median 3Q Max ## -1.6949 -1.2565 0.9913 1.0849 1.4579 ## ## Coefficients:
## Estimate Std. Error z value Pr(>|z|) ## (Intercept) 0.26686 0.08593 3.106 0.0019 **
## Lag1 -0.04127 0.02641 -1.563 0.1181 ## Lag2 0.05844 0.02686 2.175 0.0296 * ## Lag3 -0.01606 0.02666 -0.602 0.5469 ## Lag4 -0.02779 0.02646 -1.050 0.2937 ## Lag5 -0.01447 0.02638 -0.549 0.5833 ## Volume -0.02274 0.03690 -0.616 0.5377 ## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## ## (Dispersion parameter for binomial family taken to be 1)
## ## Null deviance: 1496.2 on 1088 degrees of freedom
## Residual deviance: 1486.4 on 1082 degrees of freedom
## AIC: 1500.4
## ## Number of Fisher Scoring iterations: 4
#c
probs<- predict(logistic_model, type = "response")
pred<- ifelse(probs > 0.5, "Up", "Down")
confusion_matrix<- table(pred,Weekly$Direction)
confusion_matrix
## ## pred Down Up
## Down 54 48
## Up 430 557
accuracy <- sum(diag(confusion_matrix)) / sum(confusion_matrix)
accuracy
## [1] 0.5610652
#d
train_data<- Weekly[Weekly$Year <= 2008, ]
test_data<- Weekly[Weekly$Year > 2008, ]
fit.d<- glm(Direction ~ Lag2, data = train_data, family = binomial)
fit.d.prob<- predict(fit.d, newdata = test_data, type = "response")
fit.d.pred<- ifelse(fit.d.prob > 0.5, "Up", "Down")
confusion_matrix_d<- table(fit.d.pred, test_data$Direction)
confusion_matrix_d
## ## fit.d.pred Down Up
## Down 9 5
## Up 34 56
accuracy_d <- sum(diag(confusion_matrix_d)) / sum(confusion_matrix_d)
accuracy_d
## [1] 0.625
##e
library
(MASS)
## ## Attaching package: 'MASS'
## The following object is masked from 'package:ISLR2':
## ## Boston
lda.fit<- lda(Direction ~ Lag2, data = train_data)
lda.pred<- predict(lda.fit, newdata = test_data)
confusion_matrix_e<- table(lda.pred$class, test_data$Direction)
confusion_matrix_e
## ## Down Up
## Down 9 5
## Up 34 56
accuracy_e<- sum(diag(confusion_matrix_e)) / sum(confusion_matrix_e)
accuracy_e
## [1] 0.625
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MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
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3. The table below shows the quantity demanded and supplied in the labor market for driving city buses
in the town of Unionville, where all the bus drivers belong to a union.
Quantity Of Workers
Demanded
Quantity of Workers
Supplied
Wage Per Hour
$14
12,000
6,000
$16
10,000
7,000
$18
8,000
8,000
$20
6,000
9,000
$22
4,000
10,000
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2,000
11,000
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Econ 2100
HW 14
Chapter 14
1. The table below shows levels of employment (Labor), the marginal product at each of those levels,
and the price at which the firm can sell output in the perfectly competitive market where it operates.
Labor
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1
10|
$4
2
8
$4
3
7
$4
5
$4
3
$4
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- A Homework (Ch 08) * Mind Tap - Cengage Learning catic/nb/ui/evo/index.html?deploymentld=58830023220612202193347127562&elSBN=97813376223498&id=9084911198&snapshotld=1937530& Q Search CENGAGE MINDTAP lomework (Ch 08) 5. Deriving the short-run supply curve Consider the perfectly competitive market for halogen lamps. The following graph shows the marginal cost (MC), average total cost (ATC), and average variable cost (AVC) curves for a typical firm in the industry. 80 72 64 56 48 ATCA 40 32 24 16 AVC MCO 8 16 QUANTITY OF OUTPUT (Thousands of lamps) 24 32 40 48 56 64 72 80 14 5 go 19 194 ho. pll fg DII DDI delete home enc $. & * 5 7. 8. 9. num %3D backspace lock { R. V D. PER UNT (Dollars)arrow_forward"static/nb/ui/evo/index.html?deploymentld=5696051823021770732509536303&elSBN=9781305648173&id=916507517&snapshotld=1950959& * CENGAGE MINDTAP J Homework (Ch 08) Q Search this course Consider the following scenario to understand the relationship between marginal and average values. Suppose Rajiv is a professional basketball player, and his game log for free throws can be summarized in the following table. A-Z Fill in the columns with Rajiv's free-throw percentage for each game and his overall free-throw average after each game. Game Game Result Game Free-Throw Percentage Total Average Free-Throw Percentage 4/5 4/5 80 80 2/5 6/10 3 1/4 7/14 4 1/2 8/16 4/4 12/20 On the following graph, use the orange points (square symbol) to plot Rajiv's free-throw percentage for each game individually, and use the green points (triangle symbol) to plot his overall average free-throw percentage after each game. Note: Plot your points in the order in which you would like them connected. Line segments will…arrow_forwardPlease see the attached12arrow_forward
- Note: use of chat gpt is strictly prohibited..arrow_forwardAutoSave fall 2017 chapter 9 - Compatibility Mode - Word P Search Sierra Jameson ff File Home Insert Draw Design Layout References Mailings Review View Help A Share P Comments X Cut - A A Aa v A O Find Palatino Linotype v 10 AaBbCcDd AaBbCcDd AaBbC AaBbCc AaBbC AaBbCcD AaBbCcDd LE Copy E Replace Paste BIU v ab x, x A - evAv 1 Normal 1 No Spac.. Heading 1 Heading 2 Subtle Em... Dictate Sensitivity Title Subtitle S Format Painter A Select v Clipboard Font Paragraph Styles Editing Voice Sensitivity MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Figure 15-2 Price and cost per unit P. MC ATC P3 ATC ATC, P2 P, Demand Q, Quantity MR Figure 15-2 above shows the demand and cost curves facing a monopolist. 2) Refer to Figure 15-2. To maximize profit, the firm will produce 2) A) Q1. B) Q2- C) Q3. D) Q4. 3) Refer to Figure 15-2. The firm's profit-maximizing price is 3) A) P1. B) P2. С) Рз. D) P4. 4) Refer to Figure 15-2. If the firm's average…arrow_forwardsearch (All+Q) Design Layout References Mailings Review View Help Enable Editing en verified by Microsoft Defender Advanced Threat Protection and it hasn't detected any threats. If you need to edit this file, click enable editing. 4) Refer to the table below to answer the following questions. Table 2 Firm A R&D A: $25 No R&D A: -$3 R&D B: $15 B: $60 Firm B A: $60 A: $50 No R&D B: -$3 B: $35 Refer to Table 2. Firms A and B can conduct research and development (R&D) or not conduct it. R&D is costly but can increase the quality of the product and increase sales. The payoff matrix is the economic profits of the two firms and is given above, where the numbers are millions of dollars. a. What is Firm A Dominant Strategy? b. What is Firm B Dominant Strategy? c. What is the Nash Equilibrium?arrow_forward
- estions Pall22_Microecon_KM Join: 746518 Assigned 2 Gradebook o Handouts Sep 16, 11:59 PM Dashboard Que Sep 16, 11:59 PM < HW3 (Ch3 & 4) Homework Due in 2 days Unanswered B Melinda Lee Cantrell app.tophat.com Unanswered Ⓒ A company producing 1000 phone protection covers a week when the price was $4. Their covers become very popular pushing up the price to $8. The next month they are producing 4000 cases a week. With this information answer the following: HW3 13 Homework Unanswered Determine the elasticity of supply for this company. (2 decimal places is the default answer) Type your numeric answer and submit 10am Fall22_Microecon_KM - Assigned | Top Hat HW3 14 Homework Answered. 15/17 answered MacBook Pro Submit O Please type your answer to submit Submit 05 + 88 Becca v Open in Reading View PERFECCCCE how2reearrow_forwardhelp quickly Please give me full explanation Note:- Please don't simply copy and paste content from other AI tools or bots, or else I may have to downvote your actions. Do not provide the handwritten solution. Maintain accuracy and quality in your answer. Take care of plagiarism.Answer completely.arrow_forwardproblems 2, 3, and 4 pleasearrow_forward
- 8 Assignment (1) - Compatibility Mode Saved to this PC ✓ Design Layout References Mailings Review View Problem 1 ns: On Search (Alt+Q) Mario consumes only cheese and crackers. a. Could cheese and crackers both be inferior goods for Mario? Explain. Problem 2 Help b. Suppose the cheese is a normal good for Mario while crackers are an inferior good. If Mario's income falls, what happens to Mario's consumption of crackers? What happens to his consumption of cheese? Explain. I Accessibility: Unavailable monica faggett What is marginal rate of substitution (MRS) in Economics? Use an example to explain MRS. W Focus BOarrow_forwardThe following table shows a money demand schedule, which is the quantity of money demanded at various price levels (P). Fill in the Value of Money column in the following table. Quantity of Money Demanded Price Level (P) Value of Money (1/P) (Billions of dollars) 0.80 1.5 1.00 2.0 1.33 3.5 2.00 7.0 Now consider the relationship between the price level and the quantity of money that people demand. The lower the price level, the money the typical transaction requires, and the money people will wish to hold in the form of currency or demand deposits.arrow_forwardhow to do the graph!!! Note:- Do not provide handwritten solution. Maintain accuracy and quality in your answer. Take care of plagiarism. Answer completely.arrow_forward
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