Consumers have a wide variety of options when choosing Wi-Fi and Bluetooth speaker systems. However, selecting a speaker system that provides good sound at a reasonable price can be difficult. The following data show the price and overall rating for a sample of 25 portable speaker systems that Consumer Reports tested (Consumer Reports website, January 28, 2014). The overall rating is based upon the sound quality, ease of use, and versatility of the speaker, with higher ratings indicating better overall performance.

a. Develop a scatter diagram with Price as the independent variable. Does there appear to be a relationship between the variables?
b. Develop the estimated regression equation that can be used to predict the rating given the price.
c. At the .05 level of significance, is there a significant relationship between the two variables?
d. Did the estimated regression equation provide a good fit?
e. Use residual analysis to determine if there are any outliers or influential observations. Briefly summarize your findings.
f. Consumer Reports also tested Wi-Fi and Bluetooth speaker systems developed for home use. One of the models tested is the JBLOnBeat Rumble with a price of $400.
Assuming the estimated regression equation developed for the portable speaker systems is also appropriate for home speaker systems, predict the overall rating for the JBLOnBeat Rumble speaker.

Transcribed Image Text:

Brand & Model Price (S) Rating 40 39 49 49 39 52 45 53 Acoustic Research MVP beats by dre Pill Bose Mini Bluetooth Bose Wireless Mobile 80 200 200 300 House of Marley Roots Roch iHome iBT44 100 200 180 Brand & Model Price (S) 160 150 Rating Jawbone Jambox JBL Charge jLab The Crasher Klipsch KMC 3 LG NP3530 Libratone Zipp Logitech UE Boombox Logitech UE Mobile 2 51 400 180 400 2 48 35 Monster Clarity HD Micro Philips Shoqbox SB7300 Pure Jongo S340B Samsung DA-F60 Sony SRS-BTX500 Sony ZS-BTY50 Soundmatters foxL v2 130 22500 100 53 38 60 150