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Mathematics, 16.11.2019 04:31 genyjoannerubiera
An instructor asked a random sample of eight students to record their study times at the beginning of a course. she then made a table for total hours studied? (x) over 2 weeks and test score? (y) at the end of the 2 weeks. the table is given below-
x 9 17 10 19 7 16 12 22
y 96 82 80 72 89 76 85 75
\sumx= 112 \sum y=655 \sum xy=8935 \sum x2 = 1764
compute? sst, ssr, and? sse, using the? formulas,
sstequals=summation from nothing to nothing y subscript i superscript 2 baseline minus left parenthesis summation from nothing to nothing y subscript i right parenthesis squared divided by n? y2i? ? yi2/n? ,
ssrequals=startfraction left parenthesis summation from nothing to nothing x subscript i baseline y subscript i baseline minus left parenthesis summation from nothing to nothing x subscript i baseline right parenthesis left parenthesis summation from nothing to nothing y subscript i baseline right parenthesis divided by n right parenthesis squared over summation from nothing to nothing x subscript i superscript 2 baseline minus left parenthesis summation from nothing to nothing x subscript i baseline right parenthesis squared divided by n endfraction? xiyi? ? xi? yi/n2? x2i? ? xi2/n? ,
and
sseequals=sstminus? ssr.
1. sst= ? round to two decimal places as? needed.)
2. ssr= ? round to two decimal places as? needed.)
3. sse= ? round to two decimal places as? needed.)
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