a) Determine the regression e Y= ax + bx + C

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A research company summarized the average time spent everyday by teenagers watching television.
Year
1999
2000 2001 2002 2003 2004 2005 2006
Time (min) 179
195
196
190
187
185
182
169
2
The above data can be modelled by a quadratic regression function in the form: y = ax² +bx+c, where
x is the time in minutes and y is the year from 1999.
a) Determine the regression equation. Round decimals to one decimal place, if necessary.
y=ax³ + bx + C
equation = 5.8x4x + 2050.7
a = 5.8
C = 2050.7
b=-47
b) In which year does the maximum amount of television occur?
Year 4.
(2002)
c) To the nearest minute, how much time spent watching television occurs is 2008?
Transcribed Image Text:A research company summarized the average time spent everyday by teenagers watching television. Year 1999 2000 2001 2002 2003 2004 2005 2006 Time (min) 179 195 196 190 187 185 182 169 2 The above data can be modelled by a quadratic regression function in the form: y = ax² +bx+c, where x is the time in minutes and y is the year from 1999. a) Determine the regression equation. Round decimals to one decimal place, if necessary. y=ax³ + bx + C equation = 5.8x4x + 2050.7 a = 5.8 C = 2050.7 b=-47 b) In which year does the maximum amount of television occur? Year 4. (2002) c) To the nearest minute, how much time spent watching television occurs is 2008?
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