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Cerrena [4.2K]
3 years ago
5

Using the prostate data from the faraway package with lpsa (log prostate specific antigen) as response and lcavol (log cancer vo

lume) as predictor, the fitted model is lpsa = 1.507 + 0.719 lcavol. Provide an interpretation of the estimated coefficient for lcavol based on the fact that both variables are log-transformed.

Mathematics
1 answer:
rewona [7]3 years ago
8 0

Answer:

Step-by-step explanation:

Given that,pros.

lpsa = 1.507 + 0.719 lcavol

lpsa=0.719 lcavol + 1.507

Comparing this to equation of a straight line, y=mx+c

Then,

slope (m) = 0.719

And intercept (c) on y axis is 1.507

Then, the x axis is lcavol

Also, the y axis is lpsa.

Then the linear model preview is

Check attachment for the preview.

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WILL GIVE BRAINLIEST
vesna_86 [32]

The simplified forms of the given expressions are

a. 32x

b. 0

c. -26t + 14x

d. 3t

<h3>Simplifying an expression </h3>

From the question, we are to simplify the given expressions by adding or subtracting

a. (10x) + (22x)

= 32x

b. (-6x) - (-6x)

= -6x + 6x

= 0

c. (-13t) + (14x) - (+13t)

= -13t + 14x - 13t

Collect like terms

= -13t -13t + 14x

= -26t + 14x

d. (-4t) + (+4t) - (-3t)

= -4t + 4t + 3t

= 3t

Hence, the simplified forms of the given expressions are

a. 32x

b. 0

c. -26t + 14x

d. 3t

Learn more on Simplifying an expression here: brainly.com/question/723406

#SPJ1

7 0
2 years ago
I need help with this
Aliun [14]

Answer:

use air math it will give u full explanation

5 0
1 year ago
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due in 5 minutes help! :( All CD’s are on sale for 20% this week. The CD is $9.99. What is the original price of the CD?
bekas [8.4K]

Answer:

$12.49

Step-by-step explanation:

The price right now = 0.8 * the original price

9.99 = 0.8*x

x=12.4875

x≈12.49

Sorry, I thought your problem meant that it was 20% the original price, not 20% off.

6 0
3 years ago
Graph the function y = 2x3 – x2 – 4x + 5. To the nearest tenth, over which interval is the function decreasing?
daser333 [38]
As you progress in math, it will become increasingly important that you know how to express exponentiation properly.

y = 2x3 – x2 – 4x + 5  should be written    <span>y = 2^x3 – x^2 – 4^x + 5.  The 
" ^ " symbol denotes exponentiation.

I see you're apparently in middle school.  Is that so?  If so, are you taking calculus already?  If so, nice!

Case 1:  You do not yet know calculus and have not differentiated or found critical values.  Sketch the function          </span>y = 2x^3 – x^2 – 4^x + 5, including the y-intercept at (0,5).  Can you identify the intervals on which the graph appears to be increasing and those on which it appears to be decreasing?

Case 2:  You do know differentiation, critical values and the first derivative test.  Differentiate  y = 2x^3 – x^2 – 4^x + 5 and set the derivative = to 0:

dy/dx = 6x^2 - 2x - 4 = 0.  Reduce this by dividing all terms by 2:

dy/dx = 3x^2 - x - 2 = 0    I used synthetic div. to determine that one root is x = 2/3.  Try it yourself.  This leaves the coefficients of the other factor, (3x+3); this other factor is x = 3/(-3) = -1.  Again, you should check this.

Now we have 2 roots:  -1 and 2/3

Draw a number line.  Locate the origin (0,0).  Plot the points (-1, 0) and (2/3, 0).  This subdivides the number line into 3 subintervals:

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Choose a test number from each interval and subst. it for x in the derivative formula above.  If the derivative comes out +, the function is increasing on that interval; if -, the function is decreasing.

Ask all the questions you want, if this explanation is not sufficiently clear.

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3 years ago
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Lerok [7]
In mathematics, mean average means to take the sum of all the numbers and divide the sum by the number of elements in the set.

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268 / 10 = 26.8

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8 0
3 years ago
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