22. You are given the following value from a t-table as needed: P(t140 > 1.656) = 0.05 Association between student math and verbal scores on the SAT was modeled by a linear regression model using the output given below for sample scores for a graduating class from a high school. Find a 90% prediction interval for the Math score of a graduating student that has a verbal score of 500.

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22. You are given the following value from a t-table as needed: P(t140 > 1.656) = 0.05
Association between student math and verbal scores on the SAT was modeled by a linear regression
model using the output given below for sample scores for a graduating class from a high school.
Find a 90% prediction interval for the Math score of a graduating student that has a verbal score of 500.
Variable
Count
Mean
Verbal
142
596.296
Math
142
612.099
Dependent variable is Math
R-square
= 46.9%
s=71.75 with 142-2=140 df
Variable
Coefficient
SE(Coeff)
t-ratio
P-value
Intercept
209.554
34.35
6.1
<0.0001
Verbal
0.675
0.0568
11.9
<0.0001
Transcribed Image Text:22. You are given the following value from a t-table as needed: P(t140 > 1.656) = 0.05 Association between student math and verbal scores on the SAT was modeled by a linear regression model using the output given below for sample scores for a graduating class from a high school. Find a 90% prediction interval for the Math score of a graduating student that has a verbal score of 500. Variable Count Mean Verbal 142 596.296 Math 142 612.099 Dependent variable is Math R-square = 46.9% s=71.75 with 142-2=140 df Variable Coefficient SE(Coeff) t-ratio P-value Intercept 209.554 34.35 6.1 <0.0001 Verbal 0.675 0.0568 11.9 <0.0001
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