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The following scatterplot and SPSS output represent data collected on 89 middle-aged people. The relationship between body weight and percent body fat is to be studied. 40 De scriptive Statistics 30 % body fat W eight in pounds 20 Mean 17.6371 177.0354 Variance 67.296 844.522 Model Summary 10 % body fat N 89 89 Model 1 0 R .5844 R Square .3416 Adjusted R Square .3340 -10 100 120 140 160 180 200 Regres sion Residual Total 240 260 280 ANOVA Weight in pounds Model 1 220 Sum of Squares 2022.828 3899.180 5922.008 df 1 87 88 Mean Square 2022.828 44.818 F 45.134 Sig. .000 Coefficients Model 1 (Constant) Weight in pounds Unstandardized Coefficients B Std. Error -11.570 4.405 .165 .025 Standardized Coefficients Beta .584 t -2.627 6.718 Sig. .0102 .0000 30. What is the equation of the least squares regression line? 31. What is the value of the correlation between body fat and body weight? 32. Let be the population correlation between body fat and body weight. What is the value of the t statistic for testing the hypotheses H0: = 0 versus Ha: ≠ 0? 33. Is the slope significantly different from zero? Include the value of the test statistic and the corresponding p-value in your answer. 34. What is the value of the estimate for , the standard deviation of the deviations i? Std. Error of the Estimate 6.6946