Question

REASONING The table shows the weights (in pounds) and the prescribed dosages (in milligrams) of medicine for six patients.

Weight (lb), x Dosage (mg), y
94 72
119 90
135 103
150 115
185 140
202 156
a. Find an equation of the line of best fit. Round the slope and the $y$ -intercept to the nearest tenth, if necessary.

y=

Identify the correlation coefficient. Round your answer to the nearest thousandths.

Interpret the correlation coefficient.

b. Interpret the slope of the line of best fit.

c. A patient who weighs 140 pounds is prescribed 135 milligrams of medicine. How does this affect the line of best fit? Explain.

Answer 1

The equation of the line of best fit in the table given regarding the weights will be y = 0.77x - 1.1

How to illustrate the table?

From the information given, the equation of the line of best fit in the table given regarding the weights is given and the correlation coefficient is 0.99.

The relationship is strongly positive as it's close to 1. The slope of the best fit gives the change in dosage for for an increase in the weight of the patient.

When a patient who weighs 140 pounds is prescribed 135 milligrams of medicine, it affects the line of best fit as it increases the intercept but decreases the slope.

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