REGRESSION 1. In a study, nine tires of a particular brand Each tire was driven

Question

REGRESSION 1. In a study, nine tires of a particular brand Each tire was driven a particular controlled distance (measured in thousands o depth was measured after the drive. Tread depth is measured in "mils." Here, I I were driven on a track under identical conditions. measured in thousands of miles) and the tread mil is 0.001 inch. 5 10 15 20 25 30 Miles(x 1000) The equation of the least-squares regression line is: Tread depth 360.64- 11.39x (thousands of miles) Also, -0.953. What is the tread depth of a tire driven 16 thousand miles? 2. The data and the graph below show the scores students in an advanced statistics course are based on assignments that preceded the exam. The maximum homework score a st for homework (HW) completed and the subsequent midterm exam. Homework scores udent could obtain was 500 and the maximum midterm score was 350 HW 387 275 280 459 395 314 428 366 421 234 Exam 190 200 108 323 315 256 341 236 285 125 score score

Explanation / Answer

Solution:

Question 1: Here, the given are

Tread depth = 360.64-11.39x ( thousands of miles ) (Given)

We have to find the tread depth. Also x=16 (given) tire driven thousand miles

put x=16 in given regression equation

Tread depth=360.64- 11.39*16

=360.64-182.24

=178.4

178.4 is the tread depth of a tire driven 16 thousand miles.

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