Researchers examined the relationship between two quantitative variables, x and y. we aim to express the relationship between x and y by using the simple linear regression model Yi= B0 + B1Xi+Ei Σx=50,  Σy=-20,  Σxy=-100,  Σx^2=800,  Σy^2=120,  n=20 d) Suppose we want to test, at the 5% level of significance, the null hypothesis H0:B1=-1 vs the alternative hypthesis Ha: B1>-1. What is the value of observed test statistic associated with this test e)What is the predicted value of y when x is equal to 2 f) what is the 99% confidence interval for E(Y) when x is equal to 4?

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Researchers examined the relationship between two quantitative variables, x and y. we aim to express the relationship between x and y by using the simple linear regression model Yi= B0 + B1Xi+Ei

Σx=50,  Σy=-20,  Σxy=-100,  Σx^2=800,  Σy^2=120,  n=20

d) Suppose we want to test, at the 5% level of significance, the null hypothesis H0:B1=-1 vs the alternative hypthesis Ha: B1>-1. What is the value of observed test statistic associated with this test

e)What is the predicted value of y when x is equal to 2

f) what is the 99% confidence interval for E(Y) when x is equal to 4?

g) What is the 95% prediction interval for y when x is equal to -2

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