Question

A survey conducted by a research team was to investigate how the education level, tenure in current employment, and age are related to annual income. The estimated multiple linear regression equation that can be used to predict the annual income given number of years school completed (Education), length of tenure in current employment, and age can be written as

ŷ =−143481.19+10011.92Education−2193.88Tenure+2689.24Age{"version":"1.1","math":"\hat y = -143481.19 + 10011.92 Education - 2193.88 Tenure + 2689.24 Age"}

The standard error on the education coefficient is 2570. We can say that

a. the coefficient on education is statistically significant at the one percent level

b. none of the above

c. as the length of tenure increases annual income rises

d. the coefficient on education is not statistically significant

Answer 1

you did not provide n

fill your value of n and perform the test

you will get answer or provide me n

...............

option b and c are not possible

.................

Slope hypothesis test                      
Ho:   ß = 0                  
Ha:   ß ╪ 0                  
                      
n =   9                  
alpha,α =    0.05                  
estimated slope=   10011.92                  
std error =    2570                  
                      
t-test statistic =    t = estimated slope / std error =   10011.92   /   2570   =   3.896
                      
Df =    n - 2 =   7              
p-value =    0.0059   [excel function: =t.dist.2t(t-stat,df) ]               
decision:   p value < α , significnat

....................

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