1) Problem #PRAJH5H "PRAJH5H - 245868 - This problem uses..." |
A)
This dataset represents the relation between temperature in degrees Celsius and vapor pressure of mercury in millimeters (of mercury). Based on the data found above, which model should be used to best represent this data? Hint - Model each of the answers found below, making sure to sketch the scatterplots and residual plots as well as writing down each individual equation into your notebook as you will need them for future questions. From the plots, determine which model is most appropriate. © STATS4STEM.ORG |
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B)
Which model represents the linear relationship? |
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C)
Which model best represents y-hat? A) y-hat = 10-13.83 + 6.55*log(x) B) y-hat = 10 -13.83 + 6.55*x C) y-hat = e-13.83 + 6.55*log(x) D) log(y-hat) = 10-13.83 + 6.55*log(x) E) log(y-hat) = 10-13.83 + 6.55*x |
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D)
Using the previous equation, estimate the pressure when the temperature is 210 degrees Celcius. ***ROUND ANSWER TO THE NEAREST TENTH.*** |
2) Problem #PRAJBJX "PRAJBJX - 239557 - Which intervals h..." |
A)
Which intervals have a frequency count equal to zero? © STATS4STEM.ORG |
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B)
Which interval or intervals have the greatest frequency count? |
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C)
The 40th percentile is closest to which number? |
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3) Problem #PRAJYHB "PRAJYHB - 258234 - TI - 83 Linear Regression " |
A)
Using your TI-83/84 and the data shown below, determine the slope of the least-squares regression line that models the linear relationship between x and y. Assume that x is the explanatory or predictor variable and y is the response variable. Round answer to the nearest hundredths. © STATS4STEM.ORG |
B)
Using your TI-83, determine the y-intercept of the least-squares regression line. Round answer to the nearest hundredths. |
C)
Using your TI-83, determine the correlation between x and y. Round answer to the nearest hundredths. |
D)
Which of the graphs below best represents the correct scatterplot with fitted linear regression line? |
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E)
Which of the graphs below best represents the correct residual plot for the fitted linear regression line? |
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F)
Calculate the first residual when x=11. Round answer to the nearest hundredth. |
G)
Calculate the residual when x=8. Round answer to the nearest hundredth. |
H)
If you were to calculate all the residuals, what would be the mean of all the residuals? |
I)
What percentage of the variation in y values is explained by using the linear regression model with x as the explanatory variable? Round answer to the nearest hundredth. |
4) Problem #PRAJH4S "PRAJH4S - 245845 - A 95% confidence ..." |
A 95% confidence interval indicates that: © STATS4STEM.ORG |
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5) Problem #PRAEH2N "PRAEH2N - Probability - Tree Diagram - Conditional Probability - EJS" |
You are presented with three urns. Each urn has 10 marbles. In addition, each urn holds only black or red marbles. Urn 1 has 3 red marbles. Urn 2 has 8 red marbles. Urn 3 has 5 red marbles. You randomly pick 1 marble from 1 of the three urns. Calculate the probability that it is a black marble. Round answer to the nearest hundredth. © STATS4STEM.ORG |
6) Problem #PRAJBXV "PRAJBXV - 239927 - The following is ..." |
A)
The following is the distribution of MCAS test scores at Boston High School:
a) What is the expected MCAS score at Boston High? Round answer to the nearest hundredth. © STATS4STEM.ORG |
B)
b) What is the variance of the scores? Round answer to the nearest hundredth. |
C)
c) What is the standard deviation of the scores? Round answer to the nearest hundredth. |
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D)
d) The teachers at Boston High, in fear of having their school questioned due to low test scores, decide to scale by using this formula: New Score=2*Score-2.5 What is the mean of the new score? Round answer to the nearest hundredth. |
E)
e) What is the standard deviation of the adjusted scores? Round answer to the nearest hundredth. |
7) Problem #PRAJBZG "PRAJBZG - 239977 - 20% of the popula..." |
A)
20% of the population have green eyes. Individuals are randomly sampled from the population, one-by-one. X represents the number of individuals sampled to find the first person with green eyes. What type of distribution is this? © STATS4STEM.ORG |
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B)
What is the expected value of X? Round answer to the nearest hundredth. |
C)
What is the probability that the first person to have green eyes comes on the 9th sample? Round answer to the nearest hundredth. |
8) Problem #PRAJB4A "PRAJB4A - 240064 - Is μ a pa..." |
A)
Is μ a parameter or a statistic? © STATS4STEM.ORG |
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B)
Is p-hat a parameter or a statistic? |
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C)
Is σ a parameter or a statistic? |
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9) Problem #PRAJGXU "PRAJGXU - Type Error #1" |
A farmer wants to test the hypothesis: Ho: µ=500 Ha: µ>500 where µ is the amount of corn with pest infestation in a given acre of land. The farmer wants to see if the amount of pests have increased over time. Assume that the actual µ=520, σ=25, n=10, and alpha=.01. Find the probability of Type I Error. Round your answer to the hundredth's place. © STATS4STEM.ORG |