Please show all work and steps for all of the problems along with the explanation do. Also for the question on correlation coefficient Please round to the nearest 100th place instead of 10th.

The Dept of Transportation wishes to be able to weigh trucks without actually stopping them. They developed a tool that might be able to determine their weight while in motion. To calibrate this tool, they took a sample of trucks and measured their "static weight" (the weight on a traditional scale while the truck wasn't moving) and also their "weight in motion", using the new tool. All weights were in thousands of pounds. After feeding their data into a computer, they got the following output. __m_ _-m a s=1.o41 R-Sq=93.2% R-Sq(adj)=92.3% What percent of the variability in static weight can be explained by the linear model? Round to the nearest 10th. Do not include a percent sign in your answer. If you mean to say 70%, just answer 70. The Dept of Transportation wishes to be able to weigh trucks without actually stopping them. They developed a tool that might be able to determine their weight while in motion. To calibrate this tool, they took a sample of trucks and measured their "static weight" (the weight on a traditional scale while the truck wasn't moving) and also their \"weight in motion", using the new tool. All weights were in thousands of pounds. After feeding their data into a computer, they got the following output. __E!E-_ m _u S=1.041 R-Sq=93.2% R-Sq(adj)=92.3% Find the correlation coefficient, rounded to the nearest 10th. The Dept of Transportation wishes to be able to weigh trucks without actually stopping them. They developed a tool that might be able to determine their weight while in motion. To calibrate this tool, they took a sample of trucks and measured their "static weight" (the weight on a traditional scale while the truck wasn't moving) and also their \"weight in motion", using the new tool. All weights were in thousands of pounds. After feeding their data into a computer, they got the following output. m__ ramma ___- S=1.041 R-Sq=93.2% R-Sq(adj)=92.3% Using the predictive model suggested, what would the static weight of a truck be if its weight in motion was 28,000 pounds? Give your answer in pounds rounded to the nearest whole pound. Do not round interim calculations if you hope to get the answer correct