In the accompanying table, r is the tensile force applied to a steel specimen in thousands of pounds, and y is the resulting elongation in thousandths of an inch: r| 1 2 3 4 5 6 y 14 33 40 63 76 85 a ) Construct a 95% confidence interval for ß1, the elongation per thousand pounds of tensile stress. Find a 95% prediction interval for the elongation of a specimen with xo = 3.5 thousand pounds. Test the null hypothesis B, = 0.75 against the alternative hypothesis Bo > 0.75 at the (0.1 level of significance.

The following Minitab output is for a regression of flexural strength (measured in MPa) of concrete beams on modulus of elasticity (measured in GPa). Predictor Сoef Stdev t-ratio Constant 3.2921 0.6010 5.48 0.000 mod elas 0.10742 0.01277 8.41 0.000 s = 0.8657 R-sq = 73.9% R-sq (adj) 72.8% Analysis of Variance SOURCE DF SS MS F P Regression 53.004 53.004 70.77 0.000 Error 25 18.736 0.749 Total 26 71.74 (a) Use the output to calculate a confidence interval (in MPa) with a confidence level of 95% for the slope B, of the population regression line. (Round your answers to three decimal places.) 1 MPа Interpret the resulting interval. We are 95% confident that the true average change in strength associated with a 1 GPa increase in modulus of elasticity outside this interval. We are 95% confident that the true median change in strength associated with a 1 GPa increase in modulus of elasticity is in this interval. We are 95% confident that the true average change in strength associated with a…

Can balloons hold more air or more water before bursting? A student purchased a large bag of 12-inch balloons. He randomly selected 10 balloons from the bag and then randomly assigned half of them to be filled with air until bursting and the other half to be filled with water until bursting. He used devices to measure the amount of air and water was dispensed until the balloons burst. Here are the data

Use Linear, Quaratic and Cubic interpolations to solve the question.