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
  1. Create a scatterplot of the two variables
  2. Calculate the Pearson Product Moment Correlation for these data
  3. Interpret the correlation
  4. What is the Coefficient of Determination?
  5. 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 ago
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