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IDS 270 Exam 1 2024 Questions & Answers 100% Correct Verified

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What is the formula for finding residuals? - y-yhat=residual When do you know a residual graph is over predicting? - When the point on the residual graph is below the x-axis, meaning that it's negative. When do you know a residual graph is under predicting? - When the point on the residual graph is above the x-axis, meaning it is a positive number How do you know a relationship between x & y is positive? - If the slope is positive, the graph is positive, so that means it's a positive relationship between x & y How can you characterize the strength of the relationship between x & y? - By calculating (r)^2. The closer r^2 is to 1, the stronger the relationship is. If x increases by 1, what is the predication for the change in y? - The change in y is dependent on the amount of regression. If you: roll even on a red die, and roll an odd on a green die, these are __________ - independent If you: roll an even on red and roll an odd on red, these are ____ - disjoint Formula for the union of two probabilities? - Pr(A U B)= P(a) + P(b) - Pr(A and B) Formula for: Pr(A and B)? - P(a) * P(b) How do you know if two parts to a probability problem are independent of each other? - If Pr(A and B) = P(a) * P(b) = Pr(A and B)Population Distribution - Entire Population being used Sample distribution - Initial samples taken from population distribution Sampling distribution - Averages from all samples taken What shape is related to Central Limit Theorem? - Bell shape Finding the Standard Deviation based on C.L.T - S.D of population / Root( # in each sample If you compare two spreads, which number will be a tighter spread, big or small number? - Smaller number What method do you use in order to get: What % of test takers can expect 700 or less - X -- Z -- % Ex. General intelligence test has mean of 600, standard deviation of 60. what is percentile score for an exam of 700 (what percent of test takers get 700 or less) (x 700), x is 700, z= (700-600)/60= 1.66 Pr(z1.66) z= 1.6 on table a left to right- on top is for hundreths place. which is .06 What method do you use in order to get: What score is necessary to reach 90th percentile - % -- Z -- X ex. general intelligence test mean of 600 and a standard deviation of 60. what score is necessary to reach 90th percentile? .9 in BODY of table A is 1.28( the value is .8997 closest to .9) so solve 1.28=(x-600/60) leads to 676.8

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IDS 270 Exam 1 | 2024 Questions & Answers
| 100% Correct | Verified
What is the formula for finding residuals? - ✔✔y-yhat=residual



When do you know a residual graph is over predicting? - ✔✔When the point on the residual graph is
below the x-axis, meaning that it's negative.



When do you know a residual graph is under predicting? - ✔✔When the point on the residual graph is
above the x-axis, meaning it is a positive number



How do you know a relationship between x & y is positive? - ✔✔If the slope is positive, the graph is
positive, so that means it's a positive relationship between x & y



How can you characterize the strength of the relationship between x & y? - ✔✔By calculating (r)^2. The
closer r^2 is to 1, the stronger the relationship is.



If x increases by 1, what is the predication for the change in y? - ✔✔The change in y is dependent on the
amount of regression.



If you: roll even on a red die, and roll an odd on a green die, these are __________ - ✔✔independent



If you: roll an even on red and roll an odd on red, these are ____ - ✔✔disjoint



Formula for the union of two probabilities? - ✔✔Pr(A U B)= P(a) + P(b) - Pr(A and B)



Formula for: Pr(A and B)? - ✔✔P(a) * P(b)



How do you know if two parts to a probability problem are independent of each other? - ✔✔If Pr(A and
B) = P(a) * P(b) = Pr(A and B)

, Population Distribution - ✔✔Entire Population being used



Sample distribution - ✔✔Initial samples taken from population distribution



Sampling distribution - ✔✔Averages from all samples taken



What shape is related to Central Limit Theorem? - ✔✔Bell shape



Finding the Standard Deviation based on C.L.T - ✔✔S.D of population / Root( # in each sample



If you compare two spreads, which number will be a tighter spread, big or small number? - ✔✔Smaller
number



What method do you use in order to get: What % of test takers can expect 700 or less - ✔✔X --> Z --> %

Ex. General intelligence test has mean of 600, standard deviation of 60. what is percentile score for an
exam of 700 (what percent of test takers get 700 or less) (x < 700),

x is 700,

z= (700-600)/60= 1.66

Pr(z<1.66)

z= 1.6 on table a

left to right- on top is for hundreths place. which is .06



What method do you use in order to get: What score is necessary to reach 90th percentile - ✔✔% --> Z --
>X

ex.

general intelligence test mean of 600 and a standard deviation of 60. what score is necessary to reach
90th percentile?

.9 in BODY of table A is 1.28( the value is .8997 closest to .9) so solve 1.28=(x-600/60) leads to 676.8

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