Consider the following:
X
44
62
83
97
108
Y
214
227
181
123
103
1) What is slope of the regression line predicting Y from X,
rounded to 2 decimal places?
2) What is the intercept of the regression line predicting Y
from X, rounded to 2 decimal places?
3) What is the correlation between X and Y, rounded to 2
decimal places?
Predict Y based on the datasets in X.
X
Y
31
65
39
55
41
32
44
60
47
78
48
59
55
61
65
60
15
23
19
52
a) Construct a scatter plot. Describe the relation between the
two variables.
b) Calculate and interpret the correlation coefficient
value.
c) Find the equation of the least-squares regression line.
d) What would you predict when independent value is 25?
e) Find and interpret the value of r2.
x = { 57, 77, 74, 97, 82, 98, 41, 89, 50, 35, 28, 92, 51, 81,
89, 89, 96, 17, 93, 42, 25, 23, 67, 19}
A) Determine the values of the mean, median, sample standard
deviation, range, and interquartile range for the given data set.
Identify the general feature of the data set measured by each of
these measurements.
B) Construct a box plot for the given data set. Label your axes
sufficiently to indicate location and scale.
Consider the following sample data:
x 21 22 25 28 24
y 15 22 26 28 29
a. Calculate the covariance between the variables. (Negative
value should be indicated by a minus sign. Round your intermediate
calculations to at least 4 decimal places and final answer to 2
decimal places.)
b. Calculate the correlation coefficient. (Round your
intermediate calculations to 4 decimal places and final answer to 2
decimal places.)
Question
a The following six sales figures (X) were randomly
sampled
$28, $34, $40, $44, $52, $54, with ∑X =$252 and
∑X2 = $211,096
i Determine the median and mean. What do these suggest about the
distribution of the sales data?
ii What is the standard deviation of the sales data?
iii If a frequency distribution for the sales was constructed,
what would be the mid-point and frequency and relative frequency
for class “Sales $30 to under $40”?
iv Estimate...