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daser333 [38]
3 years ago
13

Expiration dates that establish the shelf lives of pharmaceutical products are determined from stability data in drug formulatio

n studies. In order to measure the rate of decomposition of a particular drug, it is stored under various conditions of temperature, humidity, light intensity, etc., and assayed for intact drug potency at FDA-recommended time intervals of every three months during the first year. In this example, the assay Y (mg) of a certain 500 mg tablet formulation is determined at time X (months) under ambient storage conditions.
X 0 3 6 9 12
Y 500 490 470 430 350

(a) Graph these data points (xi , yi) in a scatterplot, and calculate the sample correlation coefficient r=Sxy/Sx.Sy. Classify the correlation as positive or negative, and as weak, moderate, or strong.
(b) Determine the equation of the least-squares regression line for these data points, and include a 95% confidence interval for the slope β1.
(c) Sketch a graph of this line on the same set of axes as part (a); also calculate and plot the fitted response values y, and the residuals ei= yi - ŷi, on this graph.
(d) Complete an ANOVA table for this linear regression, including the F-ratio and corresponding p-value.

Mathematics
1 answer:
dolphi86 [110]3 years ago
8 0

Answer:

(a) The correlation is positive

Step-by-step explanation:

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A bug dug 60 inches straight down below ground and then continued digging 144 inches parallel to the ground. Finally, he realize
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156 inches is the shortest distance to dig diagonally through dirt to get to his family.

<u>Step-by-step explanation:</u>

  • A bug dug 60 inches straight down below ground.
  • Then continued digging 144 inches parallel to the ground.

This forms the angle 90° between the two lines.

After he realized to turn back., the shortest distance is to dig diagonally.

This forms the hypotenuse side of the triangle.

Therefore, the given data can be assumed as a right angled triangle.

<u>To find the diagonal path (hypotenuse) :</u>

Use the Pythagorean triplets for right angle triangle,

We know that the triplet is (5,12,13).

  • It is given that, the height is 60 inches ⇒ 5 × 12
  • The base is of 144 inches ⇒ 12 × 12

Therefore, the third side hypotenuse must also be a multiple of 12.

From the triplets (5,12,13), the hypotenuse is 13 and it is multiplied by 12.

Diagonal path ⇒ 13 × 12 = 156  inches.

∴ 156 inches is the shortest distance to dig diagonally through dirt to get to his family.

5 0
3 years ago
Solve The Linear Equation for the stated variable.
larisa [96]

Answer:

m=\frac{g}{4c-3}

Step-by-step explanation:

we have

g=4cm-3m

Solve for m

That means-----> isolate the variable m

Factor the variable m in the equation

g=m[4c-3]

Divide by (4c-3) both sides

\frac{g}{4c-3}=m

Rewrite

m=\frac{g}{4c-3}

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3 years ago
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melisa1 [442]

Answer: B or 52

Step-by-step explanation: I will explain later

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*LAST QUESTION, PLEASE HURRY AND ANSWER* What is the volume of the cone below? (Use 3.14 for pi)
enyata [817]

Answer:

<h2>           The third:  5.32 cubic units</h2>

Step-by-step explanation:

R = 1.52

H = 2.2

π = 3.14

V=\frac13\pi R^2\cdot H\\\\V=\frac13\cdot3.14\cdot(1.52)^2\cdot2.2=5.3200810\overline6\approx5.32

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3 years ago
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anyanavicka [17]

Answer:

Step-by-step explanation:

This is a narrower-than-normal absolute value graph, which is a v-shaped graph. It's pointy part, the vertex, lies at (2, -3) and it opens upwards without bounds along both the positive and negative x axes. Therefore, as x approaches negative infinity, f(x) or y (same thing) approaches positive infinity. As x approaches positive infinity, f(x) approaches positive infinity.

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