1. (1 mark) The slope of the least squares regression line is 2. (3 marks) The assumptions for a linear model appear to be reasonable since (choose the figure that goes with each statement): The relationship between DASS Score and Anxiety Score appears reasonably linear The residuals may be drawn from a normal distribution o The residuals may have a constant standard deviation across the range of Anxiety Scores 3. (1 mark) The highest Anxiety Score had the highest DASS Score 4. (2 marks) The Anxiety Score with the largest residual had a DASS Score of 51.831 and an Anxiety Score of 10. Calculate the value of the residual. Type your answer with 3dp (3dp) 5. (2 marks) The absolute value of the test statistic for testing the slope of the regression line is: with degrees of freedom equal to: (integer). 6. (1 mark) The p-value for testing the slope of the regression line is less than 0.05. 7. (2 marks) Select the most appropriate conclusion to the question "Is the Anxiety Score of a student a useful predictor for the student's DASS Score?". 8. (1 mark) The correlation is: (3dp - remember to include a negative sign if appropriate) 9. (2 marks) Use the regression equation to predict the DASS Score for a student whose Anxiety Score is 13 (3dp): 10. (3 marks) We are 95% confident that for each extra score for Anxiety, the average DASS Score is expected to between (lower limit) and (upper limit). Type your answers with 3dp. The Excel file: DASS.xlsx contains information recorded on a sample of 40 of the college students' responses. The file contains the DASScore (representing level of mood) and the Anxiety Score for each student. Download the data file and fit a linear regression model for predicting DASSScore (Y) from Anxiety Score (X). Use your Excel output, and any other information provided, to answer the following questions. For each question, either choose the most correct option, or type in the answer to the number of decimal places specified. Figure 1 Figure 2 Figure 3 0 oo 0 0 o o o requency DASSScore o 0 o o o O A 0 0 & 0 20 1 -10 1 0 1 10 10 20 0 5 10 15 20 0 5 Residuals Anxiety Score Anxiety Scor 1. (1 mark) The slope of the least squares regression line is 2. (3 marks) The assumptions for a linear model appear to be reasonable since (choose the figure that goes with each statement): The relationship between DASS Score and Anxiety Score appears reasonably linear The residuals may be drawn from a normal distribution o The residuals may have a constant standard deviation across the range of Anxiety Scores 3. (1 mark) The highest Anxiety Score had the highest DASS Score 4. (2 marks) The Anxiety Score with the largest residual had a DASS Score of 51.831 and an Anxiety Score of 10. Calculate the value of the residual. Type your answer with 3dp (3dp) 5. (2 marks) The absolute value of the test statistic for testing the slope of the regression line is: with degrees of freedom equal to: (integer). 6. (1 mark) The p-value for testing the slope of the regression line is less than 0.05. 7. (2 marks) Select the most appropriate conclusion to the question "Is the Anxiety Score of a student a useful predictor for the student's DASS Score?". 8. (1 mark) The correlation is: (3dp - remember to include a negative sign if appropriate) 9. (2 marks) Use the regression equation to predict the DASS Score for a student whose Anxiety Score is 13 (3dp): 10. (3 marks) We are 95% confident that for each extra score for Anxiety, the average DASS Score is expected to between (lower limit) and (upper limit). Type your answers with 3dp. The Excel file: DASS.xlsx contains information recorded on a sample of 40 of the college students' responses. The file contains the DASScore (representing level of mood) and the Anxiety Score for each student. Download the data file and fit a linear regression model for predicting DASSScore (Y) from Anxiety Score (X). Use your Excel output, and any other information provided, to answer the following questions. For each question, either choose the most correct option, or type in the answer to the number of decimal places specified. Figure 1 Figure 2 Figure 3 0 oo 0 0 o o o requency DASSScore o 0 o o o O A 0 0 & 0 20 1 -10 1 0 1 10 10 20 0 5 10 15 20 0 5 Residuals Anxiety Score Anxiety Scor
