chart and question :

umber of Hours of Sleep (College Students) Level of Cognition (higher numbers represent a higher and more favorable level of cognition) The above data were obtained from a sample of 20 students. You are required to do the following. Only calculations are required for 1 and 2 (see examples below). 1. Manually calculate the Pearson's correlation coefficient (r) for these two variables. 2. Using \"number of hours of sleep" as the independent variable, and \"level of cognition" as the dependent variable, formulate a linear regression model (y = bx + a). All calculations must be shown for b and a. 3. Perform the correlation and regression analyses using SPSS, and write up the report using the attached format