Assume that the regression equation for the relationship between SAT scores and IQ scores is y = 9 +.105x. What would you expect the IQ score to be for the following individuals, given their SAT scores? Individual SAT Score IQ Score Susan 850 Sally 1175 Sam 1225 Sean 1050
To determine the expected IQ score for each individual, you can use the regression equation y = 9 + 0.105x, where y represents the predicted IQ score and x represents the SAT score.
Let's calculate the expected IQ score for each individual:
1. Susan (SAT Score = 850):
IQ score = 9 + 0.105(850)
= 9 + 89.25
= 98.25
2. Sally (SAT Score = 1175):
IQ score = 9 + 0.105(1175)
= 9 + 123.375
= 132.375
3. Sam (SAT Score = 1225):
IQ score = 9 + 0.105(1225)
= 9 + 128.625
= 137.625
4. Sean (SAT Score = 1050):
IQ score = 9 + 0.105(1050)
= 9 + 110.25
= 119.25
Therefore, the expected IQ scores for Susan, Sally, Sam, and Sean are 98.25, 132.375, 137.625, and 119.25, respectively.