Inference for linear regression

Confidence Intervals for Slope A thrill-seeker wanted to try to travel across a large field while being suspended in the air by holding onto balloons. In order to determine the number of balloons needed per pound of weight, he did a preliminary study. He selects a random sample of 20 rocks of various sizes. He weighed each one and also determined how many balloons are needed to lift the rock. Here is output from a least- squares regression analysis of the data. Regression Analysis: Number of Balloons versus Weight 160 Predictor Coe! SE Coe! 140 Constant 6.211 5.5831 1.1127 0.2805 1:30 Weight 30. 4126 2.0416 14.8968 0.000 Number of bal - 12.2625 R-5q - 0. 9250 R-5q(adj) - 0.9208 Construct and interpret a 90% confidence interval for the slope of the population regression line