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Published byAmanda Underwood Modified over 4 years ago

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A medical researcher wishes to determine how the dosage (in mg) of a drug affects the heart rate of the patient. DosageHeart rate 0.12595 0.290 0.2593 0.392 0.3588 0.480 0.582 1.Find the correlation coefficient & interpret it. 2.Find & interpret the slope. 3.Find & interpret the y-intercept. 4.Give the least squares regression line.

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A medical researcher wishes to determine how the dosage (in mg) of a drug affects the heart rate of the patient. DosageHeart rate 0.12595 0.290 0.2593 0.392 0.3588 0.480 0.582

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RESIDUALS Section 3.2B

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Residuals

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DosageHeart rate 0.12595 0.290 0.2593 0.392 0.3588 0.480 0.582 1.Find the predicted value for a dosage of 0.4 mg. 2.Find the residual for (0.4, 80).

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DosageHeart rate 0.12595 0.290 0.2593 0.392 0.3588 0.480 0.582 * The sum of the residuals is always zero!

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Residual Plot It is a scatterplot of the residuals vs the explanatory variable. They help us to assess how well a regression line fits the data. The residual plot should show no obvious pattern The residuals should be relatively small.

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DosageHeart rate 0.1259595.47-0.47 0.29092.58-2.578 0.259390.652.35 0.39288.723.278 0.358886.791.206 0.48084.87-4.866 0.58281.010.99 * The sum of the residuals is always zero!

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Residual Plot

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Height vs Shoe size – residual plot Good residual plot – show relatively no pattern.

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Good or Bad

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Standard Deviation of the Residuals

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DosageHeart rate 0.1259595.47-0.470.2209 0.29092.59-2.5786.6461 0.259390.652.355.5225 0.39288.723.27810.745 0.358886.791.2061.4544 0.48084.87-4.86623.678 0.58281.010.990.9801

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Homework *Page 191 (43, 45, 55, 60, 62)

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