Question

anougsoAB The accomparying dala represent the woights of various domestic cars and thair gas mileages in the cty. The Inear comelation coeffcient between the waight of a car and its mles per gallon in the city is r-0.972. The least-squares ragrossion line troating woight as the explanatory variable and mlas per gallon as the response variable is y-0.0070x 44.9450. Complete parts (a) and (b) Cick the icon to view the data tabie (a) What propertion of the variebility in miles per galon is explained by the relation between weight of the car and miles per gallon? The proportion of the variability in miles per galon expiained by the relation betanen weight of the car and miles per gallan is%. (Round to one decimal place as needed) (b) Interpret the coefficient of determination. % of the variance in by the linear model

Answer 1

we have given 9c-02070x + 44.9490 À5-01972, Coregancient af determination CAPS 0.945 - 9) The proportion of the raciablity en miles peegellen - Explained by the relation blow weight of car and miles per galon is 99.5%. . . ♡ 94.57 of the rawance in milesper galen is explained del lineu