Question

In: Statistics and Probability

Law of Supply: You will need to use software to answer these questions. The Law of...

Law of Supply: You will need to use software to answer these questions.

The Law of Supply states that an increase in price will result in an increase in the quantity supplied (assuming all other factors remain unchanged). Below is the scatterplot, regression line, and corresponding data for price (x) -vs- quantity supplied (y).

         
index Price (x) Supply (y)
1 3.00 324
2 4.00 254
3 4.25 557
4 4.75 355
5 5.00 385
6 5.00 360
7 6.50 780
8 6.75 672
9 8.00 884
10 8.00 1020
11 9.50 1069
12 10.00 928

You should be able to copy and paste the data by highlighting the entire table.

Answer the following questions regarding the relationship.

(a) Using all 12 data pairs for x and y, calculate the correlation coefficient. Round your answer to 3 decimal places.
r =

(b) Is there a significant linear correlation between these variables?

YesNo    


(c) Use software to find the regression equation. What is the slope and y-intercept? Round each answer to one decimal place.

slope     
y-intercept     


(d) Use the regression equation to estimate the quantity supplied if the price is set at $5.00. Round your answer to the nearest whole number.
ŷ =  units

Solutions

Expert Solution

The statistical software output for this problem is :

(a)

correlation coefficient = r = 0.918

(b)

Yes

(c)

Slope = 120.8

Intercept = -120.3

(d)

= 484 units


Related Solutions

Height vs Weight - Erroneous Data: You will need to use software to answer these questions....
Height vs Weight - Erroneous Data: You will need to use software to answer these questions. Below is the scatterplot and corresponding data for the height and weight of 11 randomly selected adults. You should notice something odd about the last entry.           index height (x) weight (y) inches pounds 1 60 120 2 72 200 3 65 130 4 71 205 5 67 180 6 70 180 7 69 193 8 71 195 9 63 115 10 62 140...
Height vs Weight - Erroneous Data: You will need to use software to answer these questions....
Height vs Weight - Erroneous Data: You will need to use software to answer these questions. Below is the scatterplot, regression line, and corresponding data for the height and weight of 11 randomly selected adults. You should notice something odd about the last entry.           index height (x) weight (y) inches pounds 1 60 120 2 72 200 3 65 130 4 71 205 5 69 180 6 68 180 7 69 193 8 69 195 9 63 115 10...
​Use Lenz's law to answer the following questions concerning the direction of induced currents.
Use Lenz's law to answer the following questions concerning the direction of induced currents. Express your answers in terms of the letter labels a and b in each part of the figure below. (a) What is the direction of the induced current in the resistor R in Figure a when the bar magnet is moved to the left? a to b b to a The magnitude is zero. (b) What is the direction of the current induced in the resistor R after the switch S...
Use the information below to answer the questions that follow. Wiggins Corporation utilizes an accounting software...
Use the information below to answer the questions that follow. Wiggins Corporation utilizes an accounting software package that is capable of producing a detailed aging of outstanding accounts receivable. Following is the aging schedule as of December 31, 20X2. AGE AMOUNT OUTSTANDING 0 to 30 days $ 1,200,000 31 to 60 days 700,000 61 to 120 days 200,000 Over 120 days 25,000 Casper Wiggins has owned and operated Wiggins Corporation for many years and has a very good sense of...
Use the information below to answer the following questions. The demand and supply curves facing a...
Use the information below to answer the following questions. The demand and supply curves facing a company producing a brand of coconut juice, orange Juice, are respectively given as follows:Qd =50-5PQs=2+3P.The company is contemplating to increase the price of the orange juice as a measure to raise more revenue to support a planned expansion programme. Questions i.What is the equilibrium price and quantity for the orange Juice? ii. What is the price elasticity of demand for the orange Juice? iii....
Use SPSS, Excel or Minitab software to answer the following questions. Generate normal random data with...
Use SPSS, Excel or Minitab software to answer the following questions. Generate normal random data with sample size, n = 40, mean = 20 and standard deviation = 11. Write the generated data in the following table. Answer: 1 11 21 31 2 12 22 32 3 13 23 33 4 14 24 34 5 15 25 35 6 16 26 36 7 17 27 37 8 18 28 38 9 19 29 39 10 20 30 40 Conduct the...
Please answer all of the questions in as much details as you can. You need at...
Please answer all of the questions in as much details as you can. You need at least 2-3 sentences to answer the question, 2-3 sentences to provide details and examples. 1. Why do researchers prefer to use the word gender rather than sex when referring to social or cultural categories? 2. Define human sexuality? What are some of the sources that may influence an individual’s value system? 3. List some of the beliefs and behaviors about sex and sexuality that...
Please answer all of the questions in as much details as you can. You need at...
Please answer all of the questions in as much details as you can. You need at least 2-3 sentences to answer the question, 2-3 sentences to provide details and examples. 1. Why do researchers prefer to use the word gender rather than sex when referring to social or cultural categories? 2. Define human sexuality? What are some of the sources that may influence an individual’s value system? 3. List some of the beliefs and behaviors about sex and sexuality that...
Use the following market supply and demand functions to answer questions PD = 5000 − 25QD...
Use the following market supply and demand functions to answer questions PD = 5000 − 25QD PS = 15QS Solve for the equilibrium price and quantity. What is the consumer surplus and producer surplus generated by this market? If there were an added fixed cost of production equal to 1000, what is the new equilibrium price and quantity? 1 How do the producer and consumer surpluses change, respectively, as a consequence of the additional fixed cost given in question 11?...
Use the aggregate demand/aggregate supply framework to answer the following questions: (a) A sharp decline in...
Use the aggregate demand/aggregate supply framework to answer the following questions: (a) A sharp decline in the stock market due to an increase in corporate bankruptcies leads to a decline in consumer and business confidence. What effect would you expect this shock to have on output and inflation in the short-run? (b) The US government decides to lower military expenditures to reduce the budget deficit. What effect would you expect this shock to have on output and inflation in the...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT