In a certain type of metal test specimen, the normal stress on a specimen is known to be functionally related to the shear resistance. Thefollowing is a set of coded experimental data on the two variables:Normal Stress, xShear Resistance, y1656.128941577(a) estimate the regression line(b) estimate the shear resistance for a normal stress of 10(c) evaluate the unbiased estimate of the variance(d) a 95% confidence interval for the mean shear resistance when x = 10;(e) a 95% prediction interval for a single predicted value of the shear resistance when x = 10.WORK THIS ENTIRE PROBLEM WITH ALL 5 PARTS ,BEFORE PROCEEDING TO THE NEXT PROBLEM WRITE EVERYTHINGDOWN ON YOUR ANSWER SHEETS. As.you proceed to the other problems, you will encounter this entire problem 4 more times. Each timeyou will be given a chance to answer a problem part. This time select your answer to part c)

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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For a given set of x and y data values, assume that the regression model assumptions are valid and that a 90% confidence interval for ₁ is given by (-2.2, -0.1). Which of the following statements are true? i) At a = 0.10, there is a significant linear relationship between x and y. ii) In the scatterplot of x and y, the values of y tend to decrease as the values of x increase. iii) Based on this confidence interval, we would reject the null hypothesis of no linear relationship at any significance level a ≤ 0.1. Select one: a. i) O b. i) and ii) O c. ii) d. i), ii), and iii)

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