The number of nuclear bombs worldwide began to decrease after the year 1986 (when the number was at an all-time high). The following table indicates the global number of nuclear bombs over the years 1986-1992. The graph shows the corresponding scatter plot and regression line. The equation for the regression line is given below. f(x) = -2631.32x + 5,296,091.04 Year Number of nuclear bombs 1986 69,075 1987 67,302 1988 65,932 1989 63,645 1990 60,642 1991 57,017 1992 53,136 y (Number of warheads) 75,000- 70,000- 65,000- 60,000+ 55,000- 50,000+ 45,000- (Year) (a) Use the regression line to make a projection for the number of nuclear bombs in 1997. (Round the answer to the nearest integer.) nuclear bombs Compute the percentage error, given that the actual number was 36,110. (Round the answer to one decimal place.) (b) In what year might there be only (!) 10,000 nuclear bombs worldwide? Round the answer to the nearest integer.
The number of nuclear bombs worldwide began to decrease after the year 1986 (when the number was at an all-time high). The following table indicates the global number of nuclear bombs over the years 1986-1992. The graph shows the corresponding scatter plot and regression line. The equation for the regression line is given below. f(x) = -2631.32x + 5,296,091.04 Year Number of nuclear bombs 1986 69,075 1987 67,302 1988 65,932 1989 63,645 1990 60,642 1991 57,017 1992 53,136 y (Number of warheads) 75,000- 70,000- 65,000- 60,000+ 55,000- 50,000+ 45,000- (Year) (a) Use the regression line to make a projection for the number of nuclear bombs in 1997. (Round the answer to the nearest integer.) nuclear bombs Compute the percentage error, given that the actual number was 36,110. (Round the answer to one decimal place.) (b) In what year might there be only (!) 10,000 nuclear bombs worldwide? Round the answer to the nearest integer.
Chapter4: Linear Functions
Section4.3: Fitting Linear Models To Data
Problem 34SE: For the following exercises, consider this scenario: The profit of a company decreased steadily...
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Question
Transcribed Image Text:The number of nuclear bombs worldwide began to decrease after the year 1986 (when the number was at an all-time high). The following table indicates the global number of nuclear bombs over the
years 1986-1992. The graph shows the corresponding scatter plot and regression line. The equation for the regression line is given below.
f(x) = -2631.32x + 5,296,091.04
Year Number of nuclear bombs
1986
69,075
1987
67,302
1988
65,932
1989
63,645
1990
60,642
1991
57,017
1992
53,136
y (Number of warheads)
75,000+
70,000-
65,000-
60,000+
55,000-
50,000+
45,000-
(Year)
(a) Use the regression line to make a projection for the number of nuclear bombs in 1997. (Round the answer to the nearest integer.)
nuclear bombs
Compute the percentage error, given that the actual number was 36,110. (Round the answer to one decimal place.)
(b) In what year might there be only (!) 10,000 nuclear bombs worldwide? Round the answer to the nearest integer.
Transcribed Image Text:75,000-
70,000-
65,000-
60,000 -
55,000-
50,000 -
45,000-
(Year)
(a) Use the regression line to make a projection for the number of nuclear bombs in 1997. (Round the answer to the nearest integer.)
nuclear bombs
Compute the percentage error, given that the actual number was 36,110. (Round the answer to one decimal place.)
%
(b) In what year might there be only (!) 10,000 nuclear bombs worldwide? Round the answer to the nearest integer.
If the trend were to continue, in what year would there be no bombs remaining?
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