For 39 nations, a correlation of 0.887 was found between y = Internet use (%) and x = gross domestic product (GDP, in thousands of dollars per capita). The regression equation is y=-3.68 +1.73x. Complete parts (a) through (c). a. Based on the correlation value, the slope had to be positive. Why? C... OA. The slope and correlation are positive because gross domestic product could not be negative. OB. The correlation and the slope are positive because the y-intercept is negative. OC. That is a very unusual fact, because the slope and correlation usually have different signs. V Although slope and correlation usually have different values, they always have the same sign. b. One nation had a GDP of 31.3 thousand dollars and Internet use of 28.5%. Find its predicted Internet use based on the regression equation. 50.4% (Round to one decimal place as needed.)
For 39 nations, a correlation of 0.887 was found between y = Internet use (%) and x = gross domestic product (GDP, in thousands of dollars per capita). The regression equation is y=-3.68 +1.73x. Complete parts (a) through (c). a. Based on the correlation value, the slope had to be positive. Why? C... OA. The slope and correlation are positive because gross domestic product could not be negative. OB. The correlation and the slope are positive because the y-intercept is negative. OC. That is a very unusual fact, because the slope and correlation usually have different signs. V Although slope and correlation usually have different values, they always have the same sign. b. One nation had a GDP of 31.3 thousand dollars and Internet use of 28.5%. Find its predicted Internet use based on the regression equation. 50.4% (Round to one decimal place as needed.)
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.6: Regression And Median-fit Lines
Problem 6PPS
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Question 6, 3.3.30
Transcribed Image Text:For 39 nations, a correlation of 0.887 was found between y = Internet use (%) and x = gross domestic product (GDP, in thousands of dollars per capita). The regression equation is y=-3.68 + 1.73x.
Complete parts (a) through (c).
a. Based on the correlation value, the slope had to be positive. Why?
A. The slope and correlation are positive because gross domestic product could not be negative.
B. The correlation and the slope are positive because the y-intercept is negative.
That is a very unusual fact, because the slope and correlation usually have different signs.
D. Although slope and correlation usually have different values, they always have the same sign.
b. One nation had a GDP of 31.3 thousand dollars and Internet use of 28.5%. Find its predicted Internet use based on the regression equation.
50.4% (Round to one decimal place as needed.)
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