Question

We want to explore a possible connection between the variables x and /, where x = number of days and words spoken and y = price of MB. a) So far we have the followirtg, f = 12.77x+ b, f = 38.5, Y = 1925, find b. b) Consider the regression equation of y on x given by: y = 116.9 x + 115.725 along with I* = 24.6, x = 2,46, s" = 3.77 and n = 10. Construct. a95% Prediction hrterval for the true value of y if xo = 4. c) Interpret your interval. d) Is the true value of y (for xo = 4) in this PI? Why or why not? Explain

Answer #1

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The production department of Celltronics International wants
to explore the relationship between the number of employees who
assemble a subassembly and the number produced. As an experiment,
two employees were assigned to assemble the parts. They produced 15
during a one-hour period. Then, four employees assembled them. They
produced 25 during a one-hour period. The complete set of paired
observations follows:
Number of Assemblers
One-Hour Production (units)
2
15
4
25
1
10
5
40
3
30
Required:
a. Determine...

A medical statistician wanted to examine the relationship
between the amount of sunshine (x) in hours, and incidence of skin
cancer (y). As an experiment he found thenumber of skin cancers
detected per 100,000 of population and the average daily sunshine
in eight counties around the country. these data are shown...
Average dealy sunshine
5
7
6
7
8
6
4
3
Skin Cancer per 100,000
7
11
9
12
15
10
7
5
a) determine the least squares regression...

In a small-scale regression study, we collected data on the
number of children in a family Xi and the number of
hours per week spent shopping Yi. The following data
were obtained:
i
1
2
3
4
5
6
Xi
2
6
3
1
1
9
Yi
13
17
12
12
9
22
Assume we performed a simple linear regression of Yi
on Xi, i.e. E(Yi) = ?0 +
?1Xi
(a) By hand compute X?X, X?Y, (X?X)-1, b,
Y^(means Y-hat),...

Given are five observations for two variables, x and y .
xi
1
2
3
4
5
yi
53
58
47
21
11
Use the estimated regression equation is y-hat = 78.01 -
3.08x
A.) Compute the mean square error using
equation.
s^2 = MSE = SSE / n -2
[ ] (to 2 decimals)
B.) Compute the standard error of the estimate
using equation
s = sqrtMSE = sqrt SSE / n - 2
[ ] (to 2 decimals)...

1. For a pair of sample x- and y-values, what is the difference
between the observed value of y and the predicted value of y? a) An
outlier b) The explanatory variable c) A residual d) The response
variable
2. Which of the following statements is false:
a) The correlation coefficient is unitless. b) A correlation
coefficient of 0.62 suggests a stronger correlation than a
correlation coefficient of -0.82. c) The correlation coefficient,
r, is always between -1 and 1....

A sociologist is interested in the relation between x = number
of job changes and y = annual salary (in thousands of dollars) for
people living in the Nashville area. A random sample of 10 people
employed in Nashville provided the following information.
x (number of job changes) 4 7 5 6 1 5 9 10 10 3
y (Salary in $1000) 34 33 32 32 32 38 43 37 40 33
In this setting we have Σx = 60,...

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