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 the data below to answer the questions in this assignment. You will first need to...
Use the data below to answer the questions in this assignment. You will first need to enter the following data in SPSS with “age” and “hours” as your variable names. Age and Hours on Computer Data Age (X): 24, 23, 23,25,27, 21,21,30,21,29 Number of hours on spent on computer per week (Y): 14,24,18,23,19,23,16,10,6,15 This question is only being used to describe the data set. In the box below you only need to enter 0. Run a correlation analysis in SPSS...
Use a financial calculator or computer software to answer the following questions: a. What is the...
Use a financial calculator or computer software to answer the following questions: a. What is the present value of $450,000 that is to be received at the end of 20 years if the discount rate is 10%? b. How would your answer change in (a) if the $450,000 is to be received received at the end of 15 years?
Use the article to answer these questions. Let me know if you need more information. What...
Use the article to answer these questions. Let me know if you need more information. What question was asked? Summarize the main points of the article—what is the primary goal or aim of the described study? How was the question asked? Summarize the main methods used in the study. What did the authors find? Summarize the major results of the study. How does this article provide background information for quorum sensing in gingivitis? Some possible questions you could address…How does...
​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...
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?...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT