Sophia Intro to Statistics Milestone 4

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Arapahoe Community College *

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120`092

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Statistics

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Feb 20, 2024

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pdf

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26

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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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