the standard error of the slope coefficient is 0.121855. calculate the lower limit of the 95% confidence interval of the slope coefficient for the regression of kinesthetic vark scores on the visual vark scores for biology students:

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15-12-2022
Mathematics

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the standard error of the slope coefficient is 0.121855. calculate the lower limit of the 95% confidence interval of the slope coefficient for the regression of kinesthetic vark scores on the visual vark scores for biology students:

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abhinavjh321 abhinavjh321 · Answer 1 · 2022-12-21T09:07:16+01:00

Lower limit = 0.45 - (1.96 * 0.121855) = 0.2209. This means that we can be 95% confident interval that the true slope coefficient lies between 0.2209 and 0.45.

1. The standard error of the slope coefficient can be calculated by dividing the sample standard deviation of the residuals (obtained from the regression output) by the square root of the sample size.

2. The lower limit of the 95% confidence interval of the slope coefficient can be calculated by subtracting 1.96 times the standard error of the slope coefficient from the coefficient itself.

Lower limit = 0.45 - (1.96 * 0.121855) = 0.2209

Interpretation

The lower limit of the 95% confidence interval for the slope coefficient of the regression of kinesthetic VARK scores on the visual VARK scores for biology students is 0.2209. This means that we can be 95% confident that the true slope coefficient lies between 0.2209 and 0.45.

Learn more about confidence interval here

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