Increase in BDNF on Exercise: A Regression 1 1 Study

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MBA 8040 Assignment 3: Regression

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1. Increase in BDNF is plotted on exercise in a scatterplot, and the plot is presented in Figure 1.
BDNF is found to have a positive increment with rise in exercise time. The correlation
between the two variables is found to be highly positive. Also, a linear relation is noted
between exercise and increase in BDNF. The linear trend line is plotted in the scatterplot.
The trend line indicated that for 1 minute increase in exercise BDNF will increase by
approximately by 0.72%. The coefficient of determination indicated that variation in
exercise time can explain almost 70% variation of BDNF increment, which is quite
remarkable.
Figure 1: Scatterplot presenting the linear relation between increase in BDNF and exercise time
2. The multiple regression model with prescribed dummy variables for gender and ethnicity has
been constructed in the excel file.
3. The regression model is overall significant ( F=58 . 06 , p< 0. 05 ) as the p-value is less than 5%
level of significance, which signifies that the F-statistic is in the critical region. Hence, the
F-statistic is found to be statistically significant.
This means that the "F" and the "p" values show the total significance of the regression
model. In particular, they tested all null hypotheses with regression coefficients equal to
zero. It tests the complete model against a model without variables and uses the estimated