Question

In: Statistics and Probability

A company wanted to know if there is correlation between the demands and supply, data was...

A company wanted to know if there is correlation between the demands and supply, data was collected for a nine month as follows:

                   

demand

20

30

40

50

60

supply

15

25

35

45

55

1-Using the formula for the sample correlation coefficient to evaluate the strength of the linear relationship.

2- Correlation Significance Test at α=0.05

T(0.05; 9 )

T(0.05; 7)

T(0.025;7)

T(0.025; 9)

1.833

1.895

2.365

2.262

Solutions

Expert Solution

Solution-

1) sample correlation calculation-

By formula sample correlation coefficient is 1.

Hence, there is strong and positive linear relationship between demand and supply.

2) Correlation significance test.

Alternative hypothesis is   

By above test null hypothesis is rejected.

Hence, there is strong relationship between Demand and Supply


Related Solutions

2. The manager of a restaurant wants to know if there is a correlation between the...
2. The manager of a restaurant wants to know if there is a correlation between the amount of a customer’s bill and the percent that they tip. In other words, as people spend more money do they tend to tip at different rates? With data from a random sample of 157 bills, he used StatKey to construct a 95% bootstrap confidence interval of [0.018, 0.292] for r. [24 points] A. What if the manager wanted to do a hypothesis test...
A researcher wanted to know if there was a difference in the effectiveness training results between...
A researcher wanted to know if there was a difference in the effectiveness training results between permanent employees at a business and temporary employees at the same business. The two training methods were in-person training or via videos. After the training, each employee took a test to determine the effectiveness of the training. Draw the correct design for this experiment. (Hint: In the design, it is easier to start off with the training methodology.) Remember to clearly indicate what is...
A baseball fan wanted to know if there is a difference between the number of games...
A baseball fan wanted to know if there is a difference between the number of games played in a World Series when the American League won the series versus when the National League won the series. From 1922 to 2012, the population standard deviation of games played in World Series ultimately won by the American League was 1.14, and the population standard deviation of games played in World Series ultimately won by the National League was 1.11. In 19 randomly...
If you wanted to examine the correlation between rank in high school and rank in college,...
If you wanted to examine the correlation between rank in high school and rank in college, which procedure would you use? What is the difference between multiple regression and simple linear regression?
If the assumptions for correlation are met, data indicated a correlation of 0.914 between the length...
If the assumptions for correlation are met, data indicated a correlation of 0.914 between the length of a gator and and weight of a gator. Which one of the statements is false? a. If we convert the units from feet to meters for length of the gators, the correlation will remain unchanged. b. The longer a gator is, causes a gator to weigh more. c. As the length of a gator increases, its weight will increase, in general. d. The...
Suppose a company wanted to know if there was a significant in the average income of...
Suppose a company wanted to know if there was a significant in the average income of its male and female customers. Develop a null and alternate hypothesis for such a problem and give a conclusion based on the p-value results of .04. Assume you are testing at the .05 level of significance
2.      Suppose a company wanted to know if there was a significant in the average income of...
2.      Suppose a company wanted to know if there was a significant in the average income of its male and female customers.  Develop a null and alternate hypothesis for such a problem and give a conclusion based on the p-value results of .04. Assume you are testing at the .05 level of significance. 3.      A company wants to know the useful life of a new revolutionary lightbulb it has just developed.  A mean of 64 of these bulbs revealed a mean useful life of...
****Using excel*** A business manager wanted to know if there was a relationship between daily temperature...
****Using excel*** A business manager wanted to know if there was a relationship between daily temperature measured in degrees Fahrenheit and number of employees who called-in sick each day. He collected the following data over 10 days: Daily Temperature: 54 70 67 57 54 63 72 72 54 71 # Called-in Sick: 33 32 30 37 34 28 31 27 31 26 a. Using excel Find the value of the correlation coefficient (r) for Daily Temperature and # Called-in Sick....
Consider the regression we know that f there is a strong linear correlation between X and...
Consider the regression we know that f there is a strong linear correlation between X and Z, then it is more likely that the t-test statistics get smaller. Show and explain how. Explain what happens if t-statistics get smaller.
Lets say for a sample of data the correlation coefficient is zero. I know this means...
Lets say for a sample of data the correlation coefficient is zero. I know this means there is no linear relationship, and if you tried to fit the data by a least-squares then the slope would also be zero. But if you did this analysis, could you get a nonzero y-intercept? I think you could, but curious to see what other people think.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT