In: Statistics and Probability
Question 1: If R squared=0.64 for the linear
regression equation Y= 3.2X+ 2.8 + error ,...
Question 1: If R squared=0.64 for the linear
regression equation Y= 3.2X+ 2.8 + error , Where Y (or response
variable) = stopping distance and X (or explanatory variable)=
Velocity which of the following are true?
- a.) That 64 % of the variation in Stopping distance is
explained by velocity and the correlation coefficient R= -0.8
- b.) That 64 % of the variation in Stopping distance is
explained by velocity and the correlation coefficient R= 0.8
- c.) That velocity (X) will explain the stopping distance
perfectly 64% of the time and the correlation coefficient is R=
0.7
- d.) That velocity (X) will explain the stopping distance
perfectly 64% of the time and the correlation coefficient is R=
0.7
Question 2: Which of the following is true
about categorical and quantitative variables
- a.) That pie charts and bar charts provide a good description
of quantitative variables but not categorical variables
- b.) That histograms and stem and leaf plots provide a good
description of quantitative variables but not categorical
variables
- c.) Both a and b
Question 3: Which of the following is true
about skewed distributions?
- a.) That the closer the mean is to the median the more skewed
the data is.
- b.) That the mean and median is the same whether the
distribution is skewed or normal.
- c.) That you can’t rely on just on whether the mean= median to
see if you have zero skewness, you have to see if your histograms
and stem and leaf plot are symmetrical or normally distributed as
well to assess if your data is truly normal.
- d.) The closer the mean is to the median the more normal the
data is
- e.) Both c and d.
- f.) All of the above
Question 4: Use your normal probability chart
to find the probability of the below:
- a.) P( Z < -1.21) b.) P( Z > - 1.21)
c.) P(Z < 2.13)
d) P( Z > 2.13)