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Correlation, Regression

Subject

Statistics

Type

Homework

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For the following quesons, you can use the SET command to enter the data, the CORR command to calculate correlaon coecients, and the REGR command to do the
regression. Type HELP SET , HELP CORR or HELP REGR for informaon on how to use these commands.
A student wonders if people of similar heights tend to date each other. She measures herself and &ve other women in her hall of residence. She then measures the height of
the next person each woman dates. Here are the data (all heights in inches):
Women 66 64 66 65 70 65
Their Dates 72 68 70 68 71 65
Treat the height of the women from the hall of residence as the predictor and the height of their date as the response.
Q1
The sample standard deviaon of the y values is closest to:
a.
b.
c.
d.
A.
ANSWER – 2.53
Q2
A The sample mean of the y values is
A.
ANSWER – 69
Q3
The sample correlaon of the x and y values is closest to:
a.
b.
c.
d.
A.

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ANSWER – 56.54
Q4
The intercept is
a. 28
b. 20
c. 16
d. 24
A.
ANSWER – 24
Q5
The slope is closest to
0.68
0.70
0.72
0.78
A.
ANSWER – 0.68
Q6
A new women joins the dorm. If she is 67 inches tall, the predicted height of her next date is
a.
b.
c.
d.
A.
Equaon of regression Y = 24 + 0.682 * X
When Value of X=67 then Y = 24 + 0.682 * 67 = 69.694 ~ 69.7
ANSWER – 0.697
Q7
If the heights were measured in cm rather than inches (note 1 inch is 2.54 cm) the slope would increase by a factor of
a. would not change
b. 1/2.54
c. 2.54

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A.
ANSWER – Would not change
Q8
The coecient of determinaon is closest to
0.23
0.32
0.18
0.29
A.
coecient of determinaon ( r^2 ) = (0.5654)^2 = 0.319 ~ 0.32
ANSWER – 0.32
Q9
The standard deviaon of the residuals is closest to
ANSWER – 2.08, Got 2.08 but did not nd in options
Q10
The 95% con&dence interval for the true slope is of the form b1 ± where is closest to
A.
ANSWER – 0.952

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For the following questions, you can use the SET command to enter the data, the CORR command to calculate correlation coefficients, and the REGR command to do the regression. Type HELP SET , HELP CORR or HELP REGR for information on how to use these commands.A student wonders if people of similar heights tend to date each other. She measures herself and five other women in her hall of residence. She then measures the height of the next person each woman dates. Here are the data (all heights in inches):Women666466657065Their Dates726870687165Treat the height of the women from the hall of residence as the predictor and the height of their date as the response.Q1The sample standard deviation of the y values is closest to:a.2.09b.2.53c.6.40d.4.40A.ANSWER - 2.53Q2A The sample mean of the y values isA.ANSWER - 69Q3The sample correlation of the x and y v ...
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