Math  /  Data & Statistics

QuestionWhen using population size as the explanatory variable, x , and broadband subscribers as the response variable, y , for data on the number of individuals in a country with broadband access and the population size for 38 nations, the regression equation is y^=4,995,453+0.0298x\hat{y}=4,995,453+0.0298 x. a. Interpret the slope of the regression equation. Is the association positive or negative? Explain what this means. b. Predict broadband subscribers at the (i) population size 7,010,0967,010,096, (ii) population size 1,109,575,9041,109,575,904. c. For one nation, y=71,610,000y=71,610,000, and x=308,536,233x=308,536,233. Find the predicted broadband use and the residual for this nation. Interpret the value of this residual. a. Since the association is positive, the slope means that as the \square increases by 1 unit, the number of broadband subscribers tends to \square increase \square 0.0298 (Type an integer or a decimal.) b. (i) The predicted broadband subscribers for population size 7,010,096 is 5,204,3545,204,354. (Round to the nearest whole number as needed.) (ii) The predicted broadband subscribers for population size 1,109,575,904 is 38,060,815. (Round to the nearest whole number as needed.) c. The predicted broadband subscribers for the nation is (Round to the nearest whole number as needed.)

Studdy Solution
a. As the *population size* increases by 1 unit, the number of broadband subscribers tends to increase by **0.0298**.
The association is *positive*. b. (i) **5,204,453** (ii) **38,057,814** c. The predicted broadband use is **14,189,200**.
The residual is **57,420,800**, meaning this nation has significantly more broadband subscribers than predicted.

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