A researcher decides to examine whether there is a correlation between cost of a packet of...

A researcher decides to examine whether there is a correlation between cost of a packet of chocolate chip cookies (rounded to the nearest dollar) and degree of customer satisfaction (on a scale of 1 - 10 with a 1 being not at all satisfied and a 10 being extremely satisfied). A sample of the data is provided below.

Dollars (X)	Satisfaction (Y)
11	6
18	8
17	10
15	4
9	9
5	6
12	3
19	5
22	2
25	10

Create a scatterplot of the two variables
Calculate the Pearson Product Moment Correlation for these data
Interpret the correlation
What is the Coefficient of Determination?
Conduct a hypothesis test for r = 0

Solutions

Expert Solution

scatter plot:

Calculate the Pearson Product Moment Correlation for these data

The correlation coefficient, or Pearson product-moment correlation coefficient (PMCC) is 0.0764

Interpret the correlation:

What is the Coefficient of Determination?

=0.0058

Conduct a hypothesis test for r = 0

P-value = 0.834 which is larger than significance level 0.05

If the p-value is larger than 0.05, we cannot conclude that a significant difference exists

orchestra answered 1 year ago

Next > < Previous

Related Solutions

Cost and Customer Satisfaction A researcher is interested whether there is a linear correlation between cost...

Cost and Customer Satisfaction A researcher is interested whether there is a linear correlation between cost (in dollars) of internet service per month and customer satisfaction on a scale of 1 - 10 (with a 1 being extremely dissatisfied and 10 extremely satisfied). The researcher only includes internet service with similar download speed. The sample he collected is below. Cost (x) 15 18 17 11 9 11 12 19 18 22 Satisfaction (y) 6 8 10 4 9 6 3...

Question 2 With the growth of internet service providers, a researcher decides to examine whether there...

Question 2 With the growth of internet service providers, a researcher decides to examine whether there is a correlation between cost of internet service per month (rounded to the nearest dollar) and degree of customer satisfaction (on a scale of 1 - 10 with a 1 being not at all satisfied and a 10 being extremely satisfied). The researcher only includes programs with comparable types of services. A sample of the data is provided below. dollars satisfaction 11 6 18...

A researcher is interested in determining whether there is a correlation between number of packs of...

A researcher is interested in determining whether there is a correlation between number of packs of cigarettes smoked # packs of cigarettes smoked (X) (Y) 0 80 0 70 1 72 1 70 2 68 2 65 3 69 3 60 4 58 4 55 day and longevity (in years). n=10.

A researcher is interested in determining whether there is a correlation between number of packs of...

A researcher is interested in determining whether there is a correlation between number of packs of cigarettes smoked per day and longevity (in years). n=10. Longevity # packs of cigarettes smoked (X) (Y) 0 80 0 70 1 72 1 70 2 68 2 65 3 69 3 60 4 58 4 55

If a researcher found that there was a correlation of r = -0.67 between the number...

If a researcher found that there was a correlation of r = -0.67 between the number of siblings a person has and introversion, and the researcher sampled n = 30 people, what conclusions can you make about this relationship

. A study was conducted to examine the correlation between number of study hours and students...

. A study was conducted to examine the correlation between number of study hours and students grads in exam. Study hours for students: 2, 3, 5, 6, 8, 10, 10, 2, 5, 6, 5, 3, 7, 6, 2, 7, 6, 8, 2, 5 Grads in exam for students: 3, 4, 6, 7, 8, 10, 9, 8, 3, 6, 5, 4, 6, 6, 3, 7, 6, 3, 4, 5 1- as ungrouped data find the frequency, accumulated relative frequency, and accumulative...

. A study was conducted to examine the correlation between number of study hours and students...

. A study was conducted to examine the correlation between number of study hours and students grads in exam. Study hors for students: 2, 3, 5, 6, 8, 10, 10, 2, 5, 6, 5, 3, 7, 6, 2, 7, 6, 8, 2, 5 Grads in exam for students: 3, 4, 6, 7, 8, 10, 9, 8, 3, 6, 5, 4, 6, 6, 3, 7, 6, 3, 4, 5 1- as ungrouped data find the frequency, accumulated relative frequency, and accumulative...

The researcher conducted a hypothesis test and found the 95% confidence interval to examine whether there...

The researcher conducted a hypothesis test and found the 95% confidence interval to examine whether there is a difference in high school students completion rate in percent with respect to the size of the teachers' salary (low or medium). The hypothesis test result showed p-value of 0.59 and the CI was [-2.45, 4.45]. In the space provided below, a) Explain whether the hypothesis test result and the confidence interval are in agreement. b) Explain whether and why Type 1 error...

Each of the following scenarios describes a correlation between two variables. State whether the correlation is...

Each of the following scenarios describes a correlation between two variables. State whether the correlation is most likely due to a coincidence, a common underlying cause, or a direct cause. If there is an underlying cause, state what you think it is. If you believe that one variable directly causes the other, suggest possible physical causation. 1. Sales of winter boots are positively correlated with the sale of sidewalk salt. 2. I’ve noticed that the more hours I work each...

As a researcher, you will be considering the relationships between variables regularly. Linear correlation is the...

As a researcher, you will be considering the relationships between variables regularly. Linear correlation is the most basic relationship that may exist between two variables. This assignment will you give the opportunity to see how statistics can start to answer the research questions you will be faced with in your field of study. Correlation Project Directions: Consider a possible linear relationship between two variables that you would like to explore. Define the relationship of interest and a data collection technique....

Subjects