Question

# You are given the following information about y and x. y x Dependent Independent Variable Variable...

You are given the following information about y and x.

 y x Dependent Independent Variable Variable 10 15 4 12 9 10 11 7

Refer to Exhibit 12-22. The least squares estimate of b0 equals

Question 9 options:

 -1.3 -5.647 11.4118 7.112

#### Homework Answers

Answer #1

Answer: Option (3) b0 = 11.4118 (Rounded to 4 decimal places) is the correct answer.

Justification: The linear regression equation based on the data point is of the form y_hat = b0 + b1x where b0 = the y-intercept and b1 = the slope.. It is obtained to be y_hat = 11.4118 -0.2647 x where y_hat is the predicted value of the dependent variable and x is the given value of the independent variable. So, b0 = 11.4118, and as per the given options, option (3) is the correct one.

The answer is obtained using R-software. Code and output are attached below for verification.

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