question 3 a-d

Correlation and Regression 3. A high-school student complained they required more sleep because they had a smaller heart and thus higher resting heart rate. A study was performed to ascertain whether there was an association between sleep and heart rate. a) Write the three (3) null hypotheses for this investigation - one for correlation, slope and an overall null hypothesis. Statistical notation is not necessary. b) Using the data from the below SPSS output, provide an equation for the line, considering the variables used. Descriptive Statistics Model Summary Mean Std. Deviation N Adjusted R Std. Error of Model R R Square Square the Estimate sleep 8.01 1.410 528 1142 013 011 1.402 Heart rate (bpm) 68.42 10.309 528 a. Predictors: (Constant), Heart rate (bpm) Coefficients Standardized Unstandardized Coefficients Coefficients Model B Std. Error Beta Sig (Constant) 5.940 410 16.934 1.164E-51 Heart rate (bpm) 016 006 114 2.634 .009 a. Dependent Variable: sleep c) Make a comment on whether the slope is significant, drawing from data within the table to support your conclusion. d) List the FOUR (4) assumptions of a correlation analysis. N W 4