The study “Development of LIFETEST, a Dynamic Technique to Assess Individual Capability to Lift Material” was conducted in Virginia Polytechnic Institute and State University in 1982 to determine if certain static arm strength measures have influence on the “dynamic lift” characteristics of individual. 25 individuals were subjected to strength tests and then were asked to perform a weight-lifting test in which weight was dynamically lifted overhead. The data are in Table 2.12: (a). Find the linear regression line using the least squares method. (b). Define the joint hypothesis H0 : β0 = 0, β1 = 2.2. Test this hypothesis problem using a 95% joint confidence region and β0 and β1 to draw your conclusion. (c). Calculate the studentized residuals for the regression model. Plot the studentized residuals against x and comment on the plot.