1 A Researcher Conducts A Small Study To Examine The Relationship Between Self Esteem And Grades On An Essay And Also 1 (62.76 KiB) Viewed 16 times
1 A Researcher Conducts A Small Study To Examine The Relationship Between Self Esteem And Grades On An Essay And Also 2 (34.32 KiB) Viewed 16 times
1. A researcher conducts a small study to examine the relationship between self-esteem and grades on an essay, and also records the sex of the participant. The data is shown below. Self Esteem Score 6 4 4 7 2 5 8 6 8 3 7 6 6 9 5 4 SEX MALE MALE MALE MALE MALE MALE MALE MALE FEMALE FEMALE FEMALE FEMALE FEMALE FEMALE FEMALE FEMALE Essay Grade 83 47 79 72 77 71 67 20 69 92 75 71 78 65 86 88 a. Calculate the correlation between the self-esteem and essay grade for the entire sample by hand. Show all of your work and interpret your result. To complete your interpretation, you will need to square r and interpret both r and r²) (8 marks).
b. Looking at females only, use a least-squares approach to fit a linear model to the data that predicts Essay Grade given Self-Esteem Score. Report the regression equation. Please show all your work and be sure to put in the variable names and values for a and b in this equation (10 marks). c. Provide an interpretation of the regression coefficient (the slope). (2 marks) d. What is the predicted essay grade for a respondent who has a self-esteem score of 2? (2 marks) e. Sketch the regression line for this data. (3 marks)
Join a community of subject matter experts. Register for FREE to view solutions, replies, and use search function. Request answer by replying!