QNT561 QNT/561 Week 6 Problem Set - 25664

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This is not step-by-step solution, it's the question/answers solution. MyStatLab has an option "View an Example" that has all the formulas. I have the works for all practice quizzes though.

1. Give the slope and y-intercept for the line that passes through the pairs of points listed below:

a)(9,9) and (10,10); b)(0,11) and (11,0); c)(-9,5) and (10,9); d) (-7,-10) and (2,4).

2. Consider thr pairs of measurements shown to the right:

x y
4 4
5 4
7 1
3 5
2 5
5 2
6 2

3. A minitab printout relating the size of the diamond to the asking price for 308 diamonds shown below. The regression equation is PRICE= -2,294+11,591 CARAT.

4. Researchers investigated the effect of tablet surface area to volume on the rate at which a drug is released in a controlled-released dosage. For six similarly shaped tablets with different weights and thicknesses, the diffusional drug release rate was determined. 

Drug_Release_Rate_(%_released/SQRT_time) Sur._Area_to_Vol._(mm^2/mm^3)
64 1.47
50 1.07
43 0.89
29 0.72
27 0.57
23 0.63

5. Explain what each of the following sample correlation coefficients tells you about the relationship between the x and y values:

a)r=1; b)r= -1; c)r=0; d)r=0.95: e)r=0.06; f)r= -0.96.

6. Construct a scattergram for each data set. Calculate r and r^2 for each data set:

x y
-1 -1
0 2
1 3
2 6
3 8

b) 

x y
-1 8
0 6
1 4
2 3
3 1

c). 

x y
3 4
4 3
4 5
5 3
5 4
5 5
6 4

d). 

x y
0 0
1 1
3 2
5 1
6 0

7. Suppose you fit the first-order model y=Bo+B1x1+B2x2+B3x3+B4x4+B5x5+Eto n=30 data points and obtain SSE=0.33 and R^2=0.94.

8. A study of traits of people was conducted. A rating score was determined for each in a sample of people of a large university. For one portion of the study, the researcher modeled a person's score (y) as a function of age, gender, education, and income. Data on n=199 people yielded the results in the table to the right.

9. A magazine reported on a study of the reliability of a commercial kit to test for arsenic in groundwater. 

Well_ID Latitude Longitude Depth Arsenic
1 23.7714 90.6221 45 311
2 23.7764 90.6492 45 327
3 23.7832 90.6321 100 163
4 23.7944 90.6386 60 250
5 23.7644 90.6224 90 15
6 23.7916 90.6228 125 20
7 23.7674 90.6225 30 194
8 23.7694 90.6176 75 324
9 23.7732 90.6147 60 627
10 23.7894 90.6482 150 248
11 23.7852 90.6215 90 24
12 23.7856 90.6207 30 160
13 23.7745 90.6496 75 163
14 23.7479 90.6387 45 256
15 23.7734 90.6487 100 243
16 23.7681 90.6463 100 329
17 23.7754 90.6452 75 626
18 23.7881 90.6489 150 16
19 23.7872 90.6218 45 169
20 23.7818 90.6243 125 249

 

Solution Description

Interpret the estimate

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QNT561Week6ProblemSet.pdf
QNT561Week6Prob...