Question

The accompanying data represent the weights of various domestic cars and their gas mileages in the city. The linear correlation coefficient between the weight of a car and its miles per gallon in the city is r= -0.974. The least-squares regression line treating weight as the explanatory variable and miles per gallon as the response variable is y = -0.0066x + 43.3298. Complete parts (a) through (c) below. E:: Click the icon to view the data table. (a) What proportion of the variability in miles per gallon is explained by the relation between weight of the car and miles per gallon? The proportion of the variability in miles per gallon explained by the relation between weight of the car and miles per gallon is % (Round to one decimal place as needed.) Malwarebytes 1 FREE Upgrade Avai Enter your answer in the answer box and then click Check Answer A new and improve free.

Answer 1

The proportion of the variability in miles per gallon explained by the relation between weight of the car and miles per gallon is denoted by r².

The value of r = -0.974

So, the value of r² = -0.974² = 0.949

= 94.9%.

So, the proportion of the variablility in miles per gallon explained by the relation between weight of the car and miles per gallon is 94.9%.

So, 94.9% is the correct answer.

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