Question

1. My friend recently bought a home in east county and I drove out there to watch Game of Thrones As I headed away from the coast, I noticed the temperature on my car's outside thermometer kept rising. I recorded a few data points as (distance from coast in miles, temperature in ℉), when I got home, I created a linear model in R and got the equation Temp 65.3 + 1.2 . (Distance). a. Interpret the numbers in this equation given our setting b. How far does the model predict I would need to drive east from the coast for the temperature to reach 100° F? Using Google Maps, approximate what city this would be along Interstate 8. c. Because of elevation changes, microclimates, and other local phenomena, the relationship be- tween distance and temperature does not have a perfect correlation of 1. Indeed, my data gave a correlation of 0.82. If my friend had been making the reverse of my journey when I collected the data, roughly what would his correlation have been? (Assume he measures distance traveled west from his house.)

Answer 1

Soletion Gt von that 65.3+1.2 CDistame) A) The equabion Temp Tnercept term = 65.3 which shows whn you thavelbd zero Co) dısk towarcds your find home n east County s 65.3 F The average tempahahre And slepe which means for each uit inchease in distamle towards your frtemd pome average temparahera will ie, bor each mile towards eabt counly tenparature he The increascd by 2*F. lemparahure Fa loo F 00= 65.3+ 2 loo 65. cistance 2 28.916 St you needl to savel mle to reach 100'F femparaheru Comelafion bebween the two vaialles dstance d temparatiure s Indepandet of sCala aud aripin The Conelakon s Jhe Corrclafion will be Sme as o.82 alatlakd by your Asend