The admissions office of a college wants to determine whether there is a relationship between IQ scores x and grade-point averages y after the first y

Suman Cole

Suman Cole

Answered question

2021-02-09

The admissions office of a college wants to determine whether there is a relationship between IQ scores x and grade-point averages y after the first year of school. An equation that models the data obtained by the admissions office is
y=0.069x4.755.
Estimate the values of x that predict a grade-point average of at least 3.5. (Simplify your answer completely. Round your answer to the nearest whole number.)

Answer & Explanation

yunitsiL

yunitsiL

Skilled2021-02-10Added 108 answers

The given equation modeling the relationship between IQ score and grade point averages is as follows
y=0.069x4.755…(1)
Where y represents grade point averages
And x represents IQ score
We need to find value of x for y=3.5 So substituting y=3.5 in equation (1), we get 3.5=0.069x4.755
On simplifying the above equation
0.069x=3.5+4.755
0.069x=8.255
x=8.2550.069
x=119.63
So the next whole number is 120. Hence for IQ score that` is x=120, the grade point average will be at least 3.5.
Answer: For grade point average of at least 3.5 required IQ score is 120

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