The marketing company for a major music recording label is interested in whether there is a relationship between how an individual consumer rates a performer's physical attractiveness and how likely that person is to attend the performer's live concert. The following (fictional) data are obtained from 5 people who were surveyed on their rating of attractiveness for a fictional celebrity (on a scale of 1-10) and how likely they were to attend the performer's concert if it was in town (on a scale of 1-5).

1. Calculate and report the covariance between Attractiveness ratings and Concert Likelihood ratings using the following formula:

1. Calculate (by hand) and report the Pearson Product Moment Correlation Coefficient. Please round to 2 decimal places.
2. Comment on the magnitude and direction of the relationship between Attractiveness ratings and Concert Likelihood ratings.
3. Perform a 2-tailed hypothesis test on the correlation using alpha = 0.01. Report the appropriate degrees of freedom and the criticalrvalue(s).
4. State your statistical decision: would you reject or fail to reject the null hypothesis?
5. Briefly and clearly interpret your decision in terms of the scenario.
6. Provide a JASP scatterplot of the data depicting a 99% Confidence Interval with a linear regression line. (DO NOT include graphs above or to the right of the scatterplot
7. Run a hypothesis test for Pearson'srin JASP for Scenario 3 Include the sample size, the significance, and flag the significant correlations. Copy and paste the correct correlation matrix with this information from your output.
8. Predict thestandardized value(z-hat-concert) for concert likelihood, based on an attractiveness rating of x = 4.
9. Perform a regression in JASP predicting Concert Likelihood from Attractiveness and provide your Coefficients table (only).
10. State the regression equation in the form Yhat = a + bx. (Round to 2 decimal places.)
11. Interpret the slope value within the context of the question.
12. Determine theproportionate reduction of errorandexplain this valuein relation to the example.