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Researchers surveyed 1,000 randomly selected adults in the U.S. A statistically

ID: 3226078 • Letter: R

Question

Researchers surveyed 1,000 randomly selected adults in the U.S. A statistically significant, strong positive correlation was found between income level and the number of containers of recycling they typically collect in a week. Please select the best interpretation of this result. We can not conclude whether earning more money causes more recycling among U.S. adults because this type of study does not allow us to infer causation. This sample is too small to draw any conclusions about the relationship between income level and amount of recycling for adults in the U.S. This result indicates that earning more money causes people to recycle more than people who earn less money. A survey of homes in Whitehall, Ohio recorded the market value of the home (y) in dollars and the size of the home (x) in square feet. The resulting regression equation was as follows: market value = -34778 + 94.2(square feet) How should the slope in this equation be interpreted? As market value increases by $1, number of square feet increases by 94.20. As number of square feet increases by 1, market value increases by $94.20. If number of square feet is equal to 0, the market value will be negative. The correlation between square feet and market value is 94.20.

Explanation / Answer

QUESTION 6.)

GIVEN REGRESSION EQUATION IS

Y = -34778 + 94.2*(X)

=> IF X2 = X+1,

=> Y2 = -34778 + 94.2*(X+1) = Y1 +94.20

=> MARKET VALUE INCREASES BY $94.20 WITH NUMBER OF SQUARE FEET INCREASES BY 1.

HENCE, OPTION 2

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