One weekend, a statistician notices that some of the cars in his neighborhood are very clean and others are quite dirty. He decides to explore this phenomenon, and asks 15 of his neighbors how many times they wash their cars each year and how much they paid in car repair costs last year. His results are in the table below: Standard Deviation 3.58 $341.50 Mean x-number of car washes per year y = repairs costs for last year 6.2 $984.25 The correlation for these two variables is r=-0.76 a. Find the equation of the least squares regression line (with y as the response variable). Show all work neatly.

One weekend, a statistician notices that some of the cars in his neighborhood are very clean and others are quite dirty. He decides to explore this phenomenon, and asks 15 of his neighbors how many times they wash their cars each year and how much they paid in car repair costs last year. His results are in the table below: Standard Deviation 3.58 $341.50 Mean x-number of car washes per year y = repairs costs for last year 6.2 $984.25 The correlation for these two variables is r=-0.76 a. Find the equation of the least squares regression line (with y as the response variable). Show all work neatly.

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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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One weekend, a statistician notices that some of the cars in his neighborhood are very clean and others are quite
dirty. He decides to explore this phenomenon, and asks 15 of his neighbors how many times they wash their
cars each year and how much they paid in car repair costs last year. His results are in the table below:
Standard Deviation
3.58
$341.50
Mean
x= number of car washes per year
y= repairs costs for last year
6.2
$984.25
The correlation for these two variables is r =-0.76
a. Find the equation of the least squares regression line (with y as the response variable). Show all work neatly.
b. Interpret the slope in context of the data.
c. If a person in this neighborhood washes her car 4 times per year, predict her repair costs for the year. Show
all work.
d. Based on these data, can we conclude that washing your car frequently will reduce repair costs? Explain.

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