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Posted: December 11th, 2022
1. Researchers interested in forensic and cognitive psychology were investigating whether the age of their participants could predict how many details of a crime they could recall. Furthermore, with this objective in mind, a regression analysis was conducted. (5 marks total)
a) The correlation between age and items recalled is r = -0.78. What is the research question for a correlation analysis using these two variables? (1 mark)
b) For a correlational analysis, calculate the r2 value and explain what this tells us about these two variables. (1 mark)
Below is the output from the Model Coefficients table after running the regression analysis. Use this information to answer questions 1 c), d) and e).
c) What is the research question for a regression analysis using these two variables? (1 mark)
d) What is the regression equation? (1 mark)
e) How would you interpret the slope coefficient? (1 mark)
Predictor Estimate SE t p
Intercept 17.61 0.59 29.70 <.001
Age -0.14 0.01 -9.41 <.001
[SEE PAGE 2 FOR QUESTION #2]
2. A seller on eBay specializing in antique, high-quality art, would like to determine how the age of paintings (i.e., how many years ago the painting was produced) and number of bidders on the paintings, predict the final sale price of the painting. The seller collects information about thirty-two antique paintings recently sold at auction. Please use the data file Paintings eBay.csv to answer the following questions: (12 marks total)
a) What are the possible dependent (outcome) variable and independent (predictor) variable(s) in the scenario described above? (2 marks)
b) Is there a linear relationship between your predictor variable(s) and outcome variable? Describe the statistical evidence used to draw your conclusions and include the jamovi output used to come to this decision as part of your answer. (2 marks)
c) Given your answer to 3b), what type of regression analysis is appropriate for these data? Briefly explain why this is the appropriate analysis to use. (1 mark)
d) Given your answers to 3b) and 3c), what research question would you be answering using these data and the proposed analysis? (1 mark)
e) Run the appropriate analysis in jamovi and paste the relevant outputs here. (1 mark)
f) Report the results of your analysis in APA format (4 marks)
g) What is the regression equation for this analysis? (1 mark)
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