Question
In: Statistics and Probability
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 2 years agoRelated Solutions
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