Part 1
What does the value of r interpret from the statement below? A study of a random sample of 100 Americans summarizes the relationship between alcohol consumption and age with a correlation coefficient r = 0.03.
A. There is a strong positive association below alcohol consumption and age in this sample.
B. There is a weak negative association between alcohol consumption and age in this sample.
C. The association between alcohol consumption and age is statistically significant.
D. There is little to no association between alcohol consumption and age.
D. There is little to no association between alcohol consumption and age.
When the null hypothesis is rejected, which of the following is true?
A. The conclusion is guaranteed.
B. The conclusion is not guaranteed.
C. There is sufficient evidence to back up the decision.
D. There is no sufficient evidence to back up the decision
D. There is no sufficient evidence to back up the decision
What is the primary purpose of bivariate data?
A. To analyze visually using scatterplots,
B. To describe a scenario or experiment.
C. To compare the two sets of data or to find a relationship between the two variables.
D. None of the above
C. To compare the two sets of data or to find a relationship between the two variables.
Which picture shows the positive weak linear association
C
After testing the significance of r, the next step is regression analysis. Is this true?
A. Yes C. It depends on the value of t
B. No D. It depends on the value of y’
C. It depends on the value of t
Which of these variables could use Pearson's correlation to measure the relationship?
A. Height and weight
B. Political party and opinion about the economy
C. Gender and choice of casual attire
D. Eye color and hair color
A. Height and weight
The p-value of z ≤ -2 is
0.0228
What is the decision in the use of the z-test for means' if Zcomputed ≥ Zcritical?
A. REJECT Ho
B. DO NOT REJECT Ho
C. Both A and B
D. Can't determine the decision
D. Can't determine the decision
It is a variable which represents a quantity that is being manipulated in an experiment
Dependent Variable
What is the regression equation if a=1.75 and b=0.55?
y'=0.55x+1.75
The areas under the distribution curve representing values that support the null hypothesis is called
CRITICAL VALUE
The computed z statistic to run a z-test given n=84,p ̂=6/84, p_0=12%, using the 0.05 level of significance is
-1.37
A chart type that is used to observe the relationship between variables
Scatter Plot
In the statement, “You are buying boxes of cookies at a bakery. Each box of cookies costs P50.00. Which of the following statements are true?
I. The dependent variable is the number of boxes of cookies you buy.
II. The independent variable is the number of boxes of cookies you buy.
III. The dependent variable is the amount of money you spend on the cookies
IV. The independent variable is the amount of money you spend on the cookies
I and IV
Faith's math test included a survey question asking how many hours spent studying for the test. The scatter plot and regression tine below show the relationship between how many hours students spent studying and their score on the test. The fitted line has a y — intercept of 37.
What is the best interpretation of this y-intercept?
The model predicts that students who didn't study at all will have an average score of 37 points
What would be the critical value for a left-tailed test with α=0.01?
-2.33
What is the value of z for each given the claim (p)= 0.4, the observed proportion (p^)= 0.5, and the sample size (n)= 70?
1.71
What is the last step in constructing Scatter Plot?
Make each data point on your scatter plot
Edward distributed a survey to his fellow students asking them how many hours they'd spent playing sports in the past day. He also asked them to rate their mood on a scale from 0 to 10, with 10 being the happiest. A line was fit to the data to model the relationship. Which of the following linear regression equation best describes the given model?
y=1.5x+5
If the regression equation that best predicts the school's performance is Y' = 0.61X + 34.55 and X is the passing rate, then what is the school’s performance if the passing rate is 85?
86.4
What would be the confidence level when the critical region is ±1.96?
95%
It is a statistical technique that is used to determine the existence of relationships between two different variables (i.e., X and Y).
Bivariate Analysis
It is described of how close the data follows the form of the relationship.
Strength of the Scatter Plot
Edward distributed a survey to his fellow students asking them how many hours they'd spent playing sports in the past day. He also asked them to rate their mood on a scale from 0 to 10, with 10 being the happiest. A line was fit to the data to model the relationship. Based on the equation, what will be the mood rating for a student that spent 2.5 hours sports?
8.75 hours
What does the computed t-value is greater than critical value t implies?
There is a significant relationship between variables.