Question

# 1. A confidence interval for the true slope b1 can never be used to test if...

1. A confidence interval for the true slope b1 can never be used to test if b1 is equal to 0. (True/ False)

2. The coefficient of determination is the percent of total variation explained by the regression model. (True/ False)

3. The coefficient of determination can never be greater than 1. (True/ False)

4. The predictor variable in regression analysis is referred to as the independent variable. (True/ False)

Solution1:

we can use confidence interval to accept or reject null hypothesis that slope is 0

if confidence interval contains 0 then accept null hypothesis that  b1 is equal to 0

if confidence interval does not contains 0,reject null hypothesis that b1 is not equal to zero

FALSE

2. The coefficient of determination is the percent of total variation explained by the regression model. (True/ False

we say

if we get r sq=0.80

80% of variation is explained by model

TRUE

Solution3: r sq value lies in between 0 to 1

0<=r^2<=1

it can never exceed 1

TRUE

Solution4:

a predictor variable is a variable used in regression to predict another variable.sometimes referred to as an independent variable

TRUE

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