EXSC 520 CASE STUDY 1 – CORRELATION AND BIVARIATE REGRESSION TEMPLATE

EXSC 520 CASE STUDY 1 – CORRELATION AND BIVARIATE REGRESSION TEMPLATE Instructions: To successfully complete this case study, all of the following instructions must be adhered to. Only paste tables/figures that contain pertinent information. Only paste tables/ figures where you are instructed to do so. Highlight (in yellow) only relevant data from tables; as well as your response to each question. In the write-up section, all information must be provided in paragraph format. When statistical values are discussed, the numerical value must be given and a reference must be made to the table(s)/figure(s) where the value(s) can be found. An example of this is “heart rate was statistically greater during running versus cycling (189 vs. 143 bpm) as indicated in Table 1.” I. Correlation Research question: “Is mean heart rate during exercise correlated to body weight?” Assumptions Testing 1. Data level of measurement – what is the level of measurement for the data used in this case study? Ratio level, because the ratio variables allow for a greater number of comparisons. 2. Would the amount of skewness and kurtosis in these variables affect the analysis? How do you know? Give numerical values to support your conclusion. As far as Mean Heart Rate Beats Per Minute is concerned, there was no skewness or kurtosis. Calculated Skewness resulted in 0.023, and calculated Kurtosis resulted in 0.499 both falling well between positive and negative 1.96. However the calculated skewness and kurtosis for bodyweight show that the amounts will affect the analysis. Calculated bodyweight skewness resulted in 3.006, and calculated bodyweight kurtosis resulted in 2.968. Table 1. Table with skewness and kurtosis Paste table below: Descriptives Statistic Std. Error Mean_heart_rate_BPM Mean 132.27 4.811 95% Confidence Interval for Mean Lower Bound 121.55 Upper Bound 142.99 5% Trimmed Mean 132.08 Median 134.00 Variance 254.618 Std. Deviation 15.957 Minimum 108 Maximum 160 Range 52 Interquartile Range 29 Page 1 of 18 EXSC 520 Skewness .015 .661 Kurtosis -.639 1.279 Body_weight_Kg Mean 85.391 4.2007 95% Confidence Interval for M