11:46 LTE Done 3 of 22 Problem 2: Simple Linear Regression Model Following is a
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Question
11:46 LTE Done 3 of 22 Problem 2: Simple Linear Regression Model Following is a simple lincar regrossion model The following results were obtained from statistical sotware (regression standard error)-39% SST- 2.018.73 n (total ebservations)-30 Variable Parameter Estimate Sad. Err of Parameter Est Constant 0,0082 -00026 0.0037 0.0011 Interpret the mcaning of the estimated intaroept (5 points) 2. Make a prodiction using the fitted model for the dependent variable y when x (keep three decimals) (5 points). Calculate the R. Make a comment on the result you obtained (keep two de points). 3. ?Explanation / Answer
1. The estimated intercept is -0.0082, even when value of x is zero and the value is more accurate as the standard error is less.
2. Y = -0.0082-0.0026x
3. The formula is,
= 1-(SSE/SST)
= 1-(5.976/2018.73)
= 0.99704, which means the regression equation is able to capture 99.70 percent of variations.
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