MGMT 650 Homework 11 pg 4
xlsx
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School
Liberty University *
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Course
650
Subject
Statistics
Date
Apr 3, 2024
Type
xlsx
Pages
4
Uploaded by MinisterParrot1920
17
X
Y
1.01
2.5982
1.07
2.2752
1.16
2.592
1.19
2.2252
1.19
3.2843
1.22
2.19
1.32
3.6176
1.38
2.9516
1.43
3.9971
1.45
4.0855
1.46
4.0862
1.48
4.0272
1.53
2.8406
1.56
4.3208
1.58
3.6052
1.6
3.59
1.72
4.8756
1.75
3.6875
1.77
4.1042
1.8
4.538
1.81
5.1257
1.88
4.6192
1.94
5.4924
2
5.21
2.25
-8
18
19
X
Y
1.01
2.8482
1.07
2.5252
1.16
2.842
1.19
2.4752
1.19
3.5343
1.22
2.44
1.32
3.8676
1.38
3.2016
1.43
4.2471
1.45
4.3355
1.46
4.3362
1.48
4.2772
1.53
3.0906
Make a scatter plot linked and near the following data
:
Make the title Scatterplot of X and Y Data
.
Add trendline, regression equation, and R
2
to the plot.
The scatterplot reveals a point outside the point pattern. A "residual" is defined as the veritical distance point, or Residual = Observed - Predicted. You can select regression option Residuals to show the resid
computed for the residuals. Residuals that are more that 1.5 IQR below Q1 or more than 1.5 IQR above
the corresponding data must be investigated. It was determined that the outlying data point was due to copied here and outlier removed. Make a new scatterplot linked and near the cleaned data, and add title
trendline, and regression equation label.
0.8
1
1.2
1.4
1.6
-10
-8
-6
-4
-2
0
2
4
6
8
f(x) = − 1.18705556965237 x + 5
R² = 0.021586808088342
Scatterplot of X and
X
Y
1
2
3
4
5
6
7
f(x) = 2.99074479633097 x − 0
R² = 0.753582605200579
Scatterplot of X an
Y
1.56
4.5708
1.58
3.8552
1.6
3.84
1.72
5.1256
1.75
3.9375
1.77
4.3542
1.8
4.788
1.81
5.3757
1.88
4.8692
1.94
5.7424
2
5.46
20 Compare the regression results of the two plots. What does the outlier do to the regression line?
What does the regression line do when the outlier is removed?
Removing the outlier solidified the known data and allowed a more accurate anaysis of the data. Please discuss the regression line. Minus 2-pts.
Why does R2 increase when an outlier is removed?
R2 increases when the outlier is removed therefore the actual data is able to be recordeded with less v
Incorrect. Minus 2-pts.
0.8
1
1.2
1.4
0
X
from the regression line to a data duals. Q1, Q3, and IQR were e Q3 are considered outliers and data entry error. The data is e Scatterplot without Outlier
, 1.8
2
2.2
2.4
5.10801168840396
d Y Data
0.526030671117263
nd Y Data
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variability.
1.6
1.8
2
2.2
Related Documents
Related Questions
6
arrow_forward
Complete the following using compound future value. (Use the Table provided.) (Round your answers to the nearest cent.)
Time
11 years
Principal
$ 15,200
Rate
Compounded
2 % Annually
Amount
Interest
arrow_forward
Use
the sample data and confidence level given below to complete parts (a) through (d).
In a study of cell phone use and brain hemispheric dominance, an Internet survey was e-mailed to 2444 subjects randomly selected from an online group involved with
ears. 1139 surveys were returned. Construct a 95% confidence interval for the proportion of returned surveys.
Click the icon to view a table of z scores.
a) Find the best point estimate of the population proportion p.
(Round to three decimal places as needed.)
b) Identify the value of the margin of error E.
E=
(Round to three decimal places as needed.)
c) Construct the confidence interval.
(…)
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A data set includes 104 body temperatures of healthy adult humans having a mean of 98.7°F and a standard deviation of 0.66°F. Construct a 99% confidence interval
estimate of the mean body temperature of all healthy humans. What does the sample suggest about the use of 98.6°F as the mean body temperature?
Click here to view at distribution table.
Click here to view page 1 of the standard normal distribution table.
Click here to view page 2 of the standard normal distribution table.
What is the confidence interval estimate of the population mean µ?
°F<μ<°F
(Round to three decimal places as needed.)
C…
What does this suggest about the use of 98.6°F as the mean body temperature?
O A. This suggests that the mean body temperature is lower than 98.6°F.
O B. This suggests that the mean body temperature is higher than 98.6°F.
O C. This suggests that the mean body temperature could very possibly be 98.6°F.
arrow_forward
Consider the diagram below.
5.66
5.66
Which of the following represent the values of x, y, and z to the nearest hundredth?
x = 9.78
y = 7,95
arrow_forward
Refer to the accompanying data display that results from a sample of airport data speeds in Mbps. Complete parts (a) through (c) below.
TInterval
(13.046,22.15)
x = 17.598
Sx = 16.01712719
n = 50
Click the icon to view a t distribution table.
a. What is the number of degrees of freedom that should be used for finding the critical value t/2?
Critical t values
df =
(Type a whole number.)
t Distribution: Critical t Values
Left tail
Area In One Tall
0.005
0.01
0.025
0.05
0.10
Degrees of
Area In Two Talls
Degrees of
Freedom
0.01
0.02
0.05
0.10
0.20
Freedom
1
63.657
31.821
12.706
6.314
3.078
1
9.925
6.965
4.303
2.920
1.886
3
5.841
4.541
3.182
2.353
1.638
3
4
4.604
3.747
2.776
2.132
1.533
4
4.032
3.365
2.571
2.015
1.476
6
3.707
3.143
2.447
1.943
1.440
6
7
3.499
2.998
2.365
1.895
1.415
7
3.355
2.896
2.306
1.860
1.397
Critical t value
3.250
2.821
2.262
1.833
1.383
(negat ive)
10
3.169
2.764
2.228
1.812
1.372
10
11
3.106
2.718
2.201
1.796
1.363
11
12
3.055
2.681
2.179
1.782
1.356
12
13
3.012…
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2.42
1.44
2.05
0.24
2.78
2.6
2.69
1.02
1.44
1.21
2.85 0.91 1.54 0.37 1.07 0.04 2.41
2.79
1.25 0.63
1.63 2.57 0.01 0.54 0.81 1.81 2.27
0.64
1.65
2.72
0.58 1.68
2.56 2.82 0.17 0.29 1.65
0.18
1.61
0.79
2.33 2.15
2.73 2.93 0.14
2.21
2.16
5. Find the mean of the data summarized in the given frequency distribution. Compare the computed mean to the actual mean
of 52.3 miles per hour.
Speed (miles per hour)
Frequency
42-45
46- 49
50 - 53
54 -57
58-61
22
12
The mean of the frequency distribution is
(Round to the nearest tenth as needed.)
miles per hour.
Which of the following best discribes the relationship between the computed mean and the actual mean?
A. The computed mean is not close to the actual mean because the difference between the
means is more than 5%.
O B. The computed mean is close to the actual mean because the difference between the means is
less than 5%.
O C. The computed mean is close to the actual mean because the difference between the means is
more than 5%.
D. The computed…
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Blue
0.143
Freckles
0.030
eyes
No Freckles
0.857
0.182
Black
0.047
Green
hair
eyes
0.818
0.018
0.923
Brown
eyes
0.982
0.278
0.061
Blue
0.259
eyes
0.722
0.232
Brown
0.327
Green
hair
eyes
0.768
0.153
Brown
0.461
0.414
eyes
Caucasian
0.847
child
0.319
Blue
0.562
0.453
eyes
0.681
0.315
Green
0.302
Blonde
hair
eyes
0.698
0.164
Brown
0.123
eyes
0.025
0.836
0.857
Blue
0.473
eyes
0.143
0.767
Green
Red
hair
0.405
eyes
0.233
0.778
Brown
0.122
eyes
0.222
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2.59
2.43
2.96
2.80
2.94
3.07
2.65
2.79
2.61
2.90
3.14
2.78
2.50
2.78
2.52
2.60
2.86
2.88
2.78
3.09
2.82
2.72
2.98
2.68
2.87
2.86
2.78
2.73
2.62
2.77
2.90
3.02
2.73
2.87
2.63
2.98
2.52
2.81
2.91
2.71
3.07
2.89
2.93
2.64
2.94
2.81
2.85
2.89
2.79
2.86
A school administrator believes that the mean class GPAs for a given course are higher than the preferred mean of 2.75 at a significance level of 0.05, and checks a randomly chosen sample of 50 classes.
Create a histogram, and calculate x¯, the t-statistic, and the p-value.
From the histogram, can normality be assumed? YES OR NO
X=
t=
p=
since the p-value ( GREATER THAN OR LESS THAN)
the significance level 0.05, the null hypotheses is( fails to be rejected or is rejected)
(sufficient or insufficient evidence) exist that the mean GPA is greater than 2.75.
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3-7. Write each answer with the correct number of significant
figures
(a) 1.02.1 + 3.4 + 5.8
12.300 0
(b) 106.9 31.4
(c) 107.868 (2.113 X
75.500 0
102(5.623 x 10
5 519.568
(d) (26.14/37.62) X 4.38
3.043 413
10
(e) (26.14/(37.62 x 10)) x (4.38 x 10 2) 3.043 413 x 10
11.933 7
(f) (26.14/3.38) + 4.2
(g) log(3.98 x 10*) =
4.897 79 X 10
4.599 9
(h) 10-6.31
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A researcher interested in determining if there is an association between head
circumference and brain volume tested for linear correlation at the a= 0.05
significance level. She took a random sample of twenty adults and measured
the head circumference and brain volume (using ultrasound) for each person in
the sample. The table above gives the paired data for the twenty adults. The
researcher determined there is positive linear correlation between head
circumference and brain volume at the 0.05 level of significance. With that
information answer the following questions.
1.) Since we've determined there is linear correlation between head
circumference and brain volume from the output on the TI83/84 what is "a" the
y-intercept of the regression line?
A. a=.508
B. a=34.740
C. a=-110.572
D. a=-823.829
2. Since we've determined there is linear correlation between head
circumference and brain volume from the output on the T183/84 what is "b" the
slope of the regression?
A. b=34.740
B. b=.508…
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Regular Coke
Diet Coke
Regular Pepsi
Diet Pepsi
0.8192
0.7773
0.8258
0.7925
0.8150
0.7758
0.8156
0.7868
0.8163
0.7896
0.8211
0.7846
0.8211
0.7868
0.8170
0.7938
0.8181
0.7844
0.8216
0.7861
0.8247
0.7861
0.8302
0.7844
0.8062
0.7806
0.8192
0.7795
0.8128
0.7830
0.8192
0.7883
0.8172
0.7852
0.8271
0.7879
0.8110
0.7879
0.8251
0.7850
0.8251
0.7881
0.8227
0.7899
0.8264
0.7826
0.8256
0.7877
0.7901
0.7923
0.8139
0.7852
0.8244
0.7852
0.8260
0.7756
0.8073
0.7872
0.8227
0.7837
0.8079
0.7813
0.8388
0.7879
0.8044
0.7885
0.8260
0.7839
0.8170
0.7760
0.8317
0.7817
0.8161
0.7822
0.8247
0.7822
0.8194
0.7874
0.8200
0.7742
0.8189
0.7822
0.8172
0.7833
0.8194
0.7839
0.8227
0.7835
0.8176
0.7802
0.8244
0.7855
0.8284
0.7892
0.8244
0.7859
0.8165
0.7874
0.8319
0.7775
0.8143
0.7907
0.8247
0.7833
0.8229
0.7771
0.8214
0.7835
0.8150
0.7870
0.8291
0.7826
0.8152
0.7833
0.8227
0.7815
0.8244
0.7822
0.8211
0.7791
0.8207
0.7837…
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A bank with branches located in a commercial district of a city and in a residential area has the business objective of developing an improved process for serving customers
during the noon-to-1 P.M. lunch period. Management decides to first study the waiting time in the current process. The waiting time is defined as the number of minutes that
elapses from when the customer enters the line until he or she reaches the teller window. Data are collected from a random sample of 15 customers at each branch.
Complete parts (a) and (b) below.
Click the icon to view the bank branch data.
... ..
a. Assuming that the population variances from both banks are not equal, is there evidence of a difference in the mean waiting time between the two branches?
(Use a = 0.1.)
Let µ, be the mean waiting time of the commercial district branch and u, be the mean waiting time of the residential area branch. Determine the hypotheses.
Choose the correct answer below.
A. Ho: H1 = H2
H1: H1 # H2
В. Но: М 2 2
H1:…
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Household Paper Plastic1 3.27 0.632 2.41 1.133 11.42 12.814 7.98 6.095 6.33. 3.866 12.32 11.177 6.96 7.608 16.39 9.709 6.83 3.5710 5.86 3.9111 9.41 3.3612 6.44 8.4013 14.33. 6.4314 2.80 5.9215 16.08 14.3616 6.05 2.7317 13.61 8.9518 12.73. 14.8319 9.55 9.2020 6.16 5.8821 6.67 6.0922 7.72 3.8623 15.09 9.1124 8.82 11.8925 11.08 12.4726 13.05 12.3127 9.83 6.2628 7.57 5.9229…
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The 285 observations:
5.00 11.00 16.00 23.00 36.00 58.00 29.00 20.00 10.00 8.00 3.00 0.00 0.00 2.00 11.00 27.00 47.00 63.00 60.00 39.00 28.00 26.00 22.00 11.00 21.00 40.00 78.00122.00103.00 73.00 47.00 35.00 11.00 5.00 16.00 34.00 70.00 81.00111.00101.00 73.00 40.00 20.00 16.00 5.00 11.00 22.00 40.00 60.00 80.90 83.40 47.70 47.80 30.70 12.20 9.60 10.20 32.40 47.60 54.00 62.90 85.90 61.20 45.10 36.40 20.90 11.40 37.80 69.80106.10100.80 81.60 66.50 34.80 30.60 7.00 19.80 92.50154.40125.90 84.80 68.10 38.50 22.80 10.20 24.10 82.90132.00130.90118.10 89.90 66.60 60.00 46.90 41.00 21.30 16.00 6.40 4.10 6.80 14.50 34.00 45.00 43.10 47.50 42.20 28.10 10.10 8.10 2.50 0.00 1.40 5.00 12.20 13.90 35.40 45.80 41.10 30.10 23.90 15.60 6.60 4.00 1.80 8.50 16.60 36.30 49.60 64.20 67.00 70.90 47.80 27.50 8.50 13.20 56.90121.50138.30103.20 85.70 64.60 36.70 24.20 10.70 15.00 40.10 61.50 98.50124.70 96.30 66.60 64.50 54.10 39.00 20.60 6.70 4.30 22.70 54.80 93.80 95.80 77.20 59.10…
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1.2 Round-off the following numbers to four significant figures:
38.46235, 0.70029, 0.0022218, 19.235101, 2.36425
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=
The accompanying table gives amounts of arsenic in samples of brown rice from three different states. The amounts
are in micrograms of arsenic and all samples have the same serving size. The data are from the Food and Drug
Administration. Use a 0.05 significance level to test the claim that the three samples are from populations with the
same mean. Do the amounts of arsenic appear to be different in the different states? Given that the amounts of arsenic
in the samples from Texas have the highest mean, can we conclude that brown rice from Texas poses the greatest
health problem?
Click the icon to view the data.
L.
10 H1 H2 H3
H₁: At least one of the means is different from the others
D. Ho: H1 H2 H3
H₁ H₁ H₂ H3
Determine the test statistic.
PEDI
The test statistic is
(Round to two decimal places as needed.)
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Use the following information to answer the next two exercises. The percent of licensed U.S. drivers (from a recent year)
that are female is 48.60. Of the females, 5.03% are age 19 and under; 81.36% are age 20-64; 13.61% are age 65 or over. Of
the licensed U.S. male drivers, 5.04% are age 19 and under; 81.43% are age 20-64; 13.53% are age 65 or over.
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1. The total number of Corona cases in the US, please keep in mind it is a running total.
Courtesy of worldometers.info
Date in 2020
Feb. 15
Day (
Number of Corona Cases (C)
1
15
Feb. 26
12
68
Mar. 8
23
541
Mar. 19
34
14,896
171,655
517,100
Mar. 30
45
Apr10.
Apr. 21
May 2
May 13
May 24
June 4
56
67
835,559
1,170,301
1,443,627
78
89
100
1,704,112
1,942,737
111
June 15
122
2,187,774
June 26
133
July 7
July 18
2,556,718
3,109,759
144
155
3,849,089
July 29
Aug. 9
Aug. 20
Aug. 31
166
4,588,252
177
5,228,738
5,771,205
188
199
6,239,373
Sept. 11
Sept. 22
210
6,673,451
221
7,109,730
a. Let C be the total number of Corona Virus cases in the United States by the end of
the r days since Feruary 14, 2020. (Let r = 0 represent Feb. 15, 2020.) Create a
scatter plot of the data. Take up the entire piece of graph paper. Make sure to label
the axes, and title your graph.
Does it look linear? Exponential, Quadratic?
c. Use the calculator to find the regression equation for this data. Express the…
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- 6arrow_forwardComplete the following using compound future value. (Use the Table provided.) (Round your answers to the nearest cent.) Time 11 years Principal $ 15,200 Rate Compounded 2 % Annually Amount Interestarrow_forwardUse the sample data and confidence level given below to complete parts (a) through (d). In a study of cell phone use and brain hemispheric dominance, an Internet survey was e-mailed to 2444 subjects randomly selected from an online group involved with ears. 1139 surveys were returned. Construct a 95% confidence interval for the proportion of returned surveys. Click the icon to view a table of z scores. a) Find the best point estimate of the population proportion p. (Round to three decimal places as needed.) b) Identify the value of the margin of error E. E= (Round to three decimal places as needed.) c) Construct the confidence interval. (…)arrow_forwardA data set includes 104 body temperatures of healthy adult humans having a mean of 98.7°F and a standard deviation of 0.66°F. Construct a 99% confidence interval estimate of the mean body temperature of all healthy humans. What does the sample suggest about the use of 98.6°F as the mean body temperature? Click here to view at distribution table. Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. What is the confidence interval estimate of the population mean µ? °F<μ<°F (Round to three decimal places as needed.) C… What does this suggest about the use of 98.6°F as the mean body temperature? O A. This suggests that the mean body temperature is lower than 98.6°F. O B. This suggests that the mean body temperature is higher than 98.6°F. O C. This suggests that the mean body temperature could very possibly be 98.6°F.arrow_forwardConsider the diagram below. 5.66 5.66 Which of the following represent the values of x, y, and z to the nearest hundredth? x = 9.78 y = 7,95arrow_forwardRefer to the accompanying data display that results from a sample of airport data speeds in Mbps. Complete parts (a) through (c) below. TInterval (13.046,22.15) x = 17.598 Sx = 16.01712719 n = 50 Click the icon to view a t distribution table. a. What is the number of degrees of freedom that should be used for finding the critical value t/2? Critical t values df = (Type a whole number.) t Distribution: Critical t Values Left tail Area In One Tall 0.005 0.01 0.025 0.05 0.10 Degrees of Area In Two Talls Degrees of Freedom 0.01 0.02 0.05 0.10 0.20 Freedom 1 63.657 31.821 12.706 6.314 3.078 1 9.925 6.965 4.303 2.920 1.886 3 5.841 4.541 3.182 2.353 1.638 3 4 4.604 3.747 2.776 2.132 1.533 4 4.032 3.365 2.571 2.015 1.476 6 3.707 3.143 2.447 1.943 1.440 6 7 3.499 2.998 2.365 1.895 1.415 7 3.355 2.896 2.306 1.860 1.397 Critical t value 3.250 2.821 2.262 1.833 1.383 (negat ive) 10 3.169 2.764 2.228 1.812 1.372 10 11 3.106 2.718 2.201 1.796 1.363 11 12 3.055 2.681 2.179 1.782 1.356 12 13 3.012…arrow_forward2.42 1.44 2.05 0.24 2.78 2.6 2.69 1.02 1.44 1.21 2.85 0.91 1.54 0.37 1.07 0.04 2.41 2.79 1.25 0.63 1.63 2.57 0.01 0.54 0.81 1.81 2.27 0.64 1.65 2.72 0.58 1.68 2.56 2.82 0.17 0.29 1.65 0.18 1.61 0.79 2.33 2.15 2.73 2.93 0.14 2.21 2.16 5. Find the mean of the data summarized in the given frequency distribution. Compare the computed mean to the actual mean of 52.3 miles per hour. Speed (miles per hour) Frequency 42-45 46- 49 50 - 53 54 -57 58-61 22 12 The mean of the frequency distribution is (Round to the nearest tenth as needed.) miles per hour. Which of the following best discribes the relationship between the computed mean and the actual mean? A. The computed mean is not close to the actual mean because the difference between the means is more than 5%. O B. The computed mean is close to the actual mean because the difference between the means is less than 5%. O C. The computed mean is close to the actual mean because the difference between the means is more than 5%. D. The computed…arrow_forwardBlue 0.143 Freckles 0.030 eyes No Freckles 0.857 0.182 Black 0.047 Green hair eyes 0.818 0.018 0.923 Brown eyes 0.982 0.278 0.061 Blue 0.259 eyes 0.722 0.232 Brown 0.327 Green hair eyes 0.768 0.153 Brown 0.461 0.414 eyes Caucasian 0.847 child 0.319 Blue 0.562 0.453 eyes 0.681 0.315 Green 0.302 Blonde hair eyes 0.698 0.164 Brown 0.123 eyes 0.025 0.836 0.857 Blue 0.473 eyes 0.143 0.767 Green Red hair 0.405 eyes 0.233 0.778 Brown 0.122 eyes 0.222arrow_forward2.59 2.43 2.96 2.80 2.94 3.07 2.65 2.79 2.61 2.90 3.14 2.78 2.50 2.78 2.52 2.60 2.86 2.88 2.78 3.09 2.82 2.72 2.98 2.68 2.87 2.86 2.78 2.73 2.62 2.77 2.90 3.02 2.73 2.87 2.63 2.98 2.52 2.81 2.91 2.71 3.07 2.89 2.93 2.64 2.94 2.81 2.85 2.89 2.79 2.86 A school administrator believes that the mean class GPAs for a given course are higher than the preferred mean of 2.75 at a significance level of 0.05, and checks a randomly chosen sample of 50 classes. Create a histogram, and calculate x¯, the t-statistic, and the p-value. From the histogram, can normality be assumed? YES OR NO X= t= p= since the p-value ( GREATER THAN OR LESS THAN) the significance level 0.05, the null hypotheses is( fails to be rejected or is rejected) (sufficient or insufficient evidence) exist that the mean GPA is greater than 2.75.arrow_forward3-7. Write each answer with the correct number of significant figures (a) 1.02.1 + 3.4 + 5.8 12.300 0 (b) 106.9 31.4 (c) 107.868 (2.113 X 75.500 0 102(5.623 x 10 5 519.568 (d) (26.14/37.62) X 4.38 3.043 413 10 (e) (26.14/(37.62 x 10)) x (4.38 x 10 2) 3.043 413 x 10 11.933 7 (f) (26.14/3.38) + 4.2 (g) log(3.98 x 10*) = 4.897 79 X 10 4.599 9 (h) 10-6.31arrow_forwardA researcher interested in determining if there is an association between head circumference and brain volume tested for linear correlation at the a= 0.05 significance level. She took a random sample of twenty adults and measured the head circumference and brain volume (using ultrasound) for each person in the sample. The table above gives the paired data for the twenty adults. The researcher determined there is positive linear correlation between head circumference and brain volume at the 0.05 level of significance. With that information answer the following questions. 1.) Since we've determined there is linear correlation between head circumference and brain volume from the output on the TI83/84 what is "a" the y-intercept of the regression line? A. a=.508 B. a=34.740 C. a=-110.572 D. a=-823.829 2. Since we've determined there is linear correlation between head circumference and brain volume from the output on the T183/84 what is "b" the slope of the regression? A. b=34.740 B. b=.508…arrow_forwardRegular Coke Diet Coke Regular Pepsi Diet Pepsi 0.8192 0.7773 0.8258 0.7925 0.8150 0.7758 0.8156 0.7868 0.8163 0.7896 0.8211 0.7846 0.8211 0.7868 0.8170 0.7938 0.8181 0.7844 0.8216 0.7861 0.8247 0.7861 0.8302 0.7844 0.8062 0.7806 0.8192 0.7795 0.8128 0.7830 0.8192 0.7883 0.8172 0.7852 0.8271 0.7879 0.8110 0.7879 0.8251 0.7850 0.8251 0.7881 0.8227 0.7899 0.8264 0.7826 0.8256 0.7877 0.7901 0.7923 0.8139 0.7852 0.8244 0.7852 0.8260 0.7756 0.8073 0.7872 0.8227 0.7837 0.8079 0.7813 0.8388 0.7879 0.8044 0.7885 0.8260 0.7839 0.8170 0.7760 0.8317 0.7817 0.8161 0.7822 0.8247 0.7822 0.8194 0.7874 0.8200 0.7742 0.8189 0.7822 0.8172 0.7833 0.8194 0.7839 0.8227 0.7835 0.8176 0.7802 0.8244 0.7855 0.8284 0.7892 0.8244 0.7859 0.8165 0.7874 0.8319 0.7775 0.8143 0.7907 0.8247 0.7833 0.8229 0.7771 0.8214 0.7835 0.8150 0.7870 0.8291 0.7826 0.8152 0.7833 0.8227 0.7815 0.8244 0.7822 0.8211 0.7791 0.8207 0.7837…arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
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