Sophia Intro to Statistics Milestone 4
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N illid UNIT 4 — MILESTONE 4 17/18 1 7/ 1 3 < that’s 4% RETAKE 1 question was answered incorrectly. @ 17 questions were answered correctly. T @ Which of the following scatterplots shows a correlation affected by non-linearity? 0 5 10 15 20 25 30 35 40 45 50
oD illid UNIT 4 — MILESTONE 4 17/18 30 s 25 20 [ ] ° ° e ° ° o o 10 i . [ J [ J 5 0 \ 0 5 10 15 20 25 30 35 40 45 50 50 45 |- 40 35 ® ® [ J [ J 30 * - @ 25 O t o | 20 o ° [ 15 ® t ® [ J 10 | | | e ° . o 5 . - 0 0 5 10 15 20 25 30 35 40 45 50 Recall that correlation is for linear association, so if a graph shows curvature, then it would not be adequately captured by using correlation. This plot clearly shows a non-linear graph. CONCEPT — Cautions about Correlation Report an issue with this question 2 @ For the data plotted in the scatterplot, the r2value was calculated to be 0.9846.
oD illid UNIT 4 — MILESTONE 4 17/18 N o @ o o o | | | | | 9] o1 o1 o e w H o O Yearly income (in thousand dollars) w H o ol ® | NN o u | | | | - o1 @ 0 15 20 25 30 35 40 45 50 55 60 65 70 Age Which of the following sets of statements is true? 98.5% of the variation in yearly income is explained by a linear relationship with age. The correlation coefficient, r, is 0.992 98.5% of the variation in age is explained by a nonlinear relationship with yearly income.
oD illid UNIT 4 — MILESTONE 4 17/18 98.5% of the variation in age is explained by a linear relationship with yearly income. The correlation coefficient, r, is 0.969. 98.5% of the variation in yearly income is explained by a nonlinear relationship with age. O The correlation coefficient, r, is 0.992. RATIONALE The coefficient of determination measures the percent of variation in the outcome, y, explained by the regression. So a value of 0.9846 tells us the regression with age, x, can explain about 98.5% of the variation in income, . We can also note thatr = CONCEPT — Coefficient of Determination/r*2 Report an issue with this question 3 @ A basketball player recorded the number of baskets he could make depending on how far away he stood from the basketball ‘ A
oD illid UNIT 4 — MILESTONE 4 17/18 S Number of Baskets Distance from Net Using the best-fit line, approximately how many baskets can the player make if he is standing ten feet from the net? O 3 baskets O O baskets O 8 baskets © O 5 baskets RATIONALE To get a rough estimate of the number of baskets made when standing 10 feet from the net, we go to the value of 10 on the horizontal axis and then see where it falls on the best-fit line. This looks to be about 5 baskets.
oD illid UNIT 4 — MILESTONE 4 17/18 4 Which of the following scatterplots best shows an outlier in ONLY the y-direction? Number of Hours of Sleep vs. Test Results Test Scores ol o o 1 2 3 4 5 6 7 8 9 10 Number of Hours of Sleep Number of Hours of Sleep vs. Test Results 90 | ' ' ' ' 7:7.’7 ® (] ® Test Scores Ul o o 1 2 3 4 5 6 7 8 9 10 Number of Hours of Sleep Number of Hours of Sleep vs. Test Results o 000 Test Scores ul o o 1 2 3 4 5 6 7 8 9 10 Number of Hours of Sleep
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Related Questions
An 37. Calculate coeff. of Q.D. and Bowley's coeff. of skewness from the data
given below:
Profits (Rs. lakh)
No. of Cos.
Less than 10 20
20
30
40
40
50
50
56
60
59
(MBA., HFU., 2011)
70
60
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MI
44
D.
The data below are the number of absences and the final grades of 9 randomly selected students from a statistics class. Calculate the correlation coefficient r
5 8 11
9 14 7 20 13 10
Number of absences, x
Final Grade, y 96 84 78 80 69 90 53 74 80
O A. -0.888
O B. -0.918
O D. -0.899
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4. Question
Draw and upload two datasets that have the same correlation coefficients but different slopes. Use the graphs below as a template for your submission.
* (Sext |0, 0.5, Y'I, ext(0.5, e, x'}1
* (Pext10, 0.5. Y'i, Text(0.5. o, x')
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plot of chunk cor_slope
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1:10 O b A
O "Q. * a E (19
For numbers 1 to 3: The thermal condition in a cave is critical for sustaining a bat
population. A sudden change in the temperature is related to deaths of bats in
hundreds. An attempt to measure the degree of association between the
temperature (in °C) and death toll (number of deaths) was done using 20 caves
with reported cases of massive death among bats. Assume that temperature and
death toll are bivariate normal. Given below is the R software output:
> cor.test(temp , death)
Pearson's product-moment correlation
data: temp and death
t - -1.4403, df - 148, p-value - 0.1519
alternative hypothesis: true correlation is not equal to e
95 percent confidence interval:
-0.27269325 0.04351158
sample estimates:
cor
-0.1175698
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Answer D E
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6
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The coefficient of correlation between X and Y is - and o? = a, o = 4a, and
%3D
%3D
ož = 114 where Z = 3X – 4Y. Then the value of the constant a is
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The following scatterplot shows the mean annual carbon dioxide (CO,) in parts
(CO2)
per million (ppm) measured at the top of a mountain and the mean annual air
temperature over both land and sea across the globe, in degrees Celsius (C).
Complete parts a through h on the right.
f) View the accompanying scatterplot of the residuals vs. CO2. Does the
scatterplot of the residuals vs. CO, show evidence of the violation of any
assumptions behind the regression?
16.800
A. Yes, the outlier condition is violated.
16.725
O B. Yes, the linearity and equal variance assumptions are violated.
16.650
C. Yes, the equal variance assumption is violated.
16.575
O D. No, all assumptioris are okay.
16.500
O E. Yes, all the assumptions are violated.
325.0
337.5
350.0
362.5
CO2 (ppm)
OF
Yes, the linearity assumption is violated.
his vear, What mean temperature does
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This is a chart with Temperature Anomalies and Time, what does it indicate about global warming if
y = 0.0018x + 0.7418R² = 0.1015
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Which of the following correlation coefficients indicate the strongest linear relationship between two variables x and y?
rxy = 0.5
rxy = 0.09
rxy = − 0.6
rxy = 0
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Calculate correlation coefficient from the following results :
N 10 ΣΧ 100
ΣΥ- 150
E(X-10}²= 180, 2(Y-15)' = 215
E(X-10(Y-15) = 60.
%3D
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n list
stion 1
estion 2
Question 3
Question 4
Question 5
Statcrunch
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8.8
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The correlation of 4 pairs of observations is –0.94. What is E ?
Sy
Sx
А. —1.03
В. —1.75
С. - 1.38
D. -2.82
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Answer A B C
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I need in an hour pls help thankyou
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Each of the following graphs show the relationship between two variables. Determine the Pearson product-moment correlation coefficient (r) for each graph
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Calculate correlation coefficient from the following data :
N= 10, E X= 140, E Y= 150
E (X – 10)2 = 180, E(Y– 15)² = 215, E (X- 10) (Y– 15) = 60
%3D
%3D
%3D
%3D
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10:07
AA
www-awn.aleks.com
O REGR.
Predict.
A financial analyst is examining the relationship between stock prices
and earnings per share. She chooses fifteen publicly traded companies
at random and records for each the company's current stock price and
the company's earnings per share reported for the past 12 months. Her
data are given below, with x denoting the earnings per share from the
previous year, and y denoting the current stock price (both in dollars).
Based on these data, she computes the least-squares regression line to
be î=-0.021 + 0.039.x. This line, along with a scatter plot of her data, is shown
in Figure 1.
Earnings per
Current stock
price, y
(in dollars)
share, x
(in dollars)
30.62
0.89
15.77
0.47
40.14
1.88
51.19
1.61
25
26.79
1.06
18.54
0.74
59.71
2.26
20.78
0.75
38.96
1.16
34.97
1.44
41.67
0.98
42.69
1.43
32.30
1.81
58.49
2.74
Figure 1
29.83
1.44
Send data to Excel
Based on her data and her regression line, answer the following:
1. Fill in the blank: For these…
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We analyze a data set with Y = stopping distance of a car
and X = speed of the car when the brakes were applied,
%3D
and after running the data in STATISTICA, we obtain the
following results.
Std.Err.
of b
Std.Err.
of b*
t(61)
p-value
b*
N=63
Intercept
Speed
-20.2734
3.1366
-6.26038
20.67978
0.000000
0.000000
3.238368
0.935504
0.045238
0.151674
Sums of
df
Mean
p-value
Squares
Squares
59540.15
Effect
59540.15
427.6534
0.000000
Regress.
Residual
1
8492.74
61
139.23
Total
68032.89
Speed X StopDist Y Speed squared StopDist squared Speed StopDist
65853
Total
1195
2471
28719
164951
One of the observations is (X = 39, Y = 138).
The value of the internal studentized residual is
. (final answer to 2 decimal places e.g.
2.12)
Hence, the point (39, 138)
an outlier.
(choose from is or is not)
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7:45 PM Fri Apr 15
...
AA
www-awu.aleks.com
X A ALEKS - Emily Men...
Module 8 Quiz Prac...
Outline Planning G...
lvs Session (
O MODULE 10o: INTERPRETING CATEGORICAL AND QUANTITATIVE DATA
Computing residuals
3/5
The table and scatter plot show the time spent watching TV, x, and the time spent doing homework, y, by
each of 11 students last week.
The equation of the line of best fit is y=-0.3x+20.51.
Time spent Time spent
watching
TV, x
doing
homework, y
(in hours)
(in hours)
28-
6.0
19.62
24.
6.8
16.73
Time spent
20
doing homework
8.3
21.04
(in hours )
16-
10.5
18.90
12-
10.7
15.49
12.1
15.50
13.3
15.51
15.1
19.00
Time spent watching
TV
16.4
16.48
(in hours )
18.1
17.50
20.5
13.30
Use the equation of the line of best fit to fill in the blanks below.
Give exact answers, not rounded approximations.
Time spent
Observed time spent
Predicted time spent
doing homework
(in hours)
Residual
watching TV
(in hours)
doing homework
(in hours)
(in hours)
D.
15.1
18.1
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Compute the value of correlation coefficient of using data in table 1 for the number of hrs. a person works per week and thenumber of accidents or injuries that the person has over a peroid of one week.
Table :1
Hrs.Worked ( x )
No. of accidents( y )
30
2
42
3
25
4
44
8
56
5
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Number 2 pls.
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Bb.42.
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Related Questions
- An 37. Calculate coeff. of Q.D. and Bowley's coeff. of skewness from the data given below: Profits (Rs. lakh) No. of Cos. Less than 10 20 20 30 40 40 50 50 56 60 59 (MBA., HFU., 2011) 70 60arrow_forwardMI 44 D. The data below are the number of absences and the final grades of 9 randomly selected students from a statistics class. Calculate the correlation coefficient r 5 8 11 9 14 7 20 13 10 Number of absences, x Final Grade, y 96 84 78 80 69 90 53 74 80 O A. -0.888 O B. -0.918 O D. -0.899 59°F Clear ^ E Type here to search PrtS F8 F10 F1 F12 8. 3. 7. 5. 9. R A. H. B. N. Alt Altarrow_forward4. Question Draw and upload two datasets that have the same correlation coefficients but different slopes. Use the graphs below as a template for your submission. * (Sext |0, 0.5, Y'I, ext(0.5, e, x'}1 * (Pext10, 0.5. Y'i, Text(0.5. o, x') 1.0 1.0 0.8 - 0.8 0.6 0.6 0.4 - 0.4 0.2- 0.2 0.0 0.0 0.0 0.0 0.2 0.4 0.6 0.8 1.0 0.2 0.4 0.6 0.8 1.0 plot of chunk cor_slopearrow_forward
- 1:10 O b A O "Q. * a E (19 For numbers 1 to 3: The thermal condition in a cave is critical for sustaining a bat population. A sudden change in the temperature is related to deaths of bats in hundreds. An attempt to measure the degree of association between the temperature (in °C) and death toll (number of deaths) was done using 20 caves with reported cases of massive death among bats. Assume that temperature and death toll are bivariate normal. Given below is the R software output: > cor.test(temp , death) Pearson's product-moment correlation data: temp and death t - -1.4403, df - 148, p-value - 0.1519 alternative hypothesis: true correlation is not equal to e 95 percent confidence interval: -0.27269325 0.04351158 sample estimates: cor -0.1175698arrow_forwardAnswer D Earrow_forward6arrow_forward
- The coefficient of correlation between X and Y is - and o? = a, o = 4a, and %3D %3D ož = 114 where Z = 3X – 4Y. Then the value of the constant a isarrow_forwardThe following scatterplot shows the mean annual carbon dioxide (CO,) in parts (CO2) per million (ppm) measured at the top of a mountain and the mean annual air temperature over both land and sea across the globe, in degrees Celsius (C). Complete parts a through h on the right. f) View the accompanying scatterplot of the residuals vs. CO2. Does the scatterplot of the residuals vs. CO, show evidence of the violation of any assumptions behind the regression? 16.800 A. Yes, the outlier condition is violated. 16.725 O B. Yes, the linearity and equal variance assumptions are violated. 16.650 C. Yes, the equal variance assumption is violated. 16.575 O D. No, all assumptioris are okay. 16.500 O E. Yes, all the assumptions are violated. 325.0 337.5 350.0 362.5 CO2 (ppm) OF Yes, the linearity assumption is violated. his vear, What mean temperature doesarrow_forwardThis is a chart with Temperature Anomalies and Time, what does it indicate about global warming if y = 0.0018x + 0.7418R² = 0.1015arrow_forward
- Which of the following correlation coefficients indicate the strongest linear relationship between two variables x and y? rxy = 0.5 rxy = 0.09 rxy = − 0.6 rxy = 0arrow_forwardCalculate correlation coefficient from the following results : N 10 ΣΧ 100 ΣΥ- 150 E(X-10}²= 180, 2(Y-15)' = 215 E(X-10(Y-15) = 60. %3Darrow_forwardn list stion 1 estion 2 Question 3 Question 4 Question 5 Statcrunch A T 63°F Raining now Z W S alt x # K 3 Use the following cell phone airport data speeds (Mbps) from a particular network. Find P70 0.2 0.7 2.1 3.9 8.8 10 2 R % 0.2 0.9 2.4 с CV 3.9 9.1 P70 = x Mbps (Type an integer or a decimal. Do not round.) 5 24 G 0.3 B 0.9 2.4 4.3 9.6 Y H 70 0.3 0.9 2.6 4.5 11.6 N 00 8 M 29 0.4 0.9 2.8 4.9 12.5 hp K W-11 L alt 0.4 1.1 2.8 25 5.1 12.7 ctrl 0.4 1.3 2.9 5.2 13.7 prt sc 3 pause 0.5 1.5 2.9 7.1 14.3 delete backspace ^; enter home T shift num lock 3.3 7.3 14.5 7 home 0.5 1.7 ↑ A end 1 end Next 3:15 PM 9/24/2022 → 00 pg up 5 24 ins 0.60 1.7 30.1 3.6 8.4 21 pg dn 9 pg up 3 pg dn delarrow_forward
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