:6 omework: HW 4.3 core: 0 of 1 pt Score: 35%, 3.5 of 1 The accompanying data ro

Question

:6 omework: HW 4.3 core: 0 of 1 pt Score: 35%, 3.5 of 1 The accompanying data ropresent the weights of vañous domesic cars and thoir gss mlenges in the clty, The Inear correlation cooicent bertweon the weight of a car and ts mikes per gatlon in the city The least-square s reg ession line treating weight as the explanatory vanable and îles per gallon as te espo se anable is y "-Q0000x + 4 1.4173. Comp te pats d below. 0.9 (a) What proportion of the variability in mles per galon is explained by the relation between weight of the car and mies per gallon? the proportion ofte varablity in mies per gallon explained by the roiation between weight of the car and miles per gallon is (Round to one decimal place as needed.) %. Enter your answer in the answer box and then cick Check Answer part

Explanation / Answer

answer =95.65%

here simple multiple linear regression has been used , as there is one independet variable .

so the required proportion of variability explained...=R2 =r*r=(-0.978)*(-0.978)=0.9565=95.65%

where r=-0.978 ( the linear correlation coefficient between weight of car and its miles per gallon

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