The chairman of the market department at St. Joseph’s University asked 30 gradua
ID: 3260483 • Letter: T
Question
The chairman of the market department at St. Joseph’s University asked 30 graduating seniors to answer a survey so they could collect information on regression of salary with regards to GPA. Sadly they got less than half of the respondents.
Regression Analysis
r²
0.812
n
13
r
(a)
k
1
Std. Error
2.61
Dep. Var.
Y
Which is a good description of the slope?
a. For every $1000 higher starting salary the GPA is $7,587 more.
b. For every $1000 higher starting salary the GPA is $8,133 more.
c. For every point higher in the GPA the starting salary is $7,587 more.
d. For every point higher in the GPA the starting salary is $8,133 more.
Regression Analysis
r²
0.812
n
13
r
(a)
k
1
Std. Error
2.61
Dep. Var.
Y
ANOVA table Source df MS F p-value 1 325.6561 11 6.8395 12 47.61 2.59E-05 Regression 325.6561 75.2346 Total 400.8908 Residual Regression output confidence interval 95% 95% variables coefficients error t (df 11) p-value lowerupper 0734 0.8505 16.0245 std Intercept 7.5870 3.8335 1.979 2.59E- GPA 8.1327 1.1786 ) 05 5.5386 10.7268 Predicted values for: Y X1 Predicted lower upper Lowerupper Leverage 3.25 34.0182 32.4151 35.6213 28.0430 39.9934 0.078Explanation / Answer
Slope m in linear regression model y=mx+c always represent change between x and y, here slope=8.1327.
Thats means for every $1000 higher starting salary tje GPA the starting salary is $81327.
Hence option B is correct
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