Correlation and Regression Assignment K Renegar
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Surry Community College *
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Course
152
Subject
Mathematics
Date
Jan 9, 2024
Type
docx
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2
Uploaded by MagistrateGalaxy3809
Kelsey Renegar
Dr. Susan Worth
MAT-152
5 December 2023
Correlation and Regression Assignment
A sample of 10 adult men gave the following data on their heights and weights.
Height
(inches)
X
62
62
63
65
66
67
68
68
70
72
Weight
(pounds)
Y
12
0
140
130
150
142
130
135
175
149
168
(a)
Generate the scatter plot of this data and graph the regression line in your plot. Include a picture of this
graph and explain your impression of how well the line fits the data.
(b)
State the equation of the regression line.
y =-78.37708129+3.352595495x
(c)
Find r (correlation coefficient).
Interpret the value of r in the context of
this problem.
r = .65598 The correlation coefficient or the r shows just how close the two variables are related. WIth r as close
to one, You have an indication of a positive and stong linear correlation between the heights of men along with
the weights of men.
(d)
Find the coefficient of determination, r
2
.
Explain what it means in the context of this problem.
r ^ 2 = 430131 Finding the coefficient of determination, around 43% of the data shown in the line of best
fit That also means that around 57% of the data would have to be unexplained by line of best fit.
(e)
Provide examples of other lurking variables that may have an effect on weight
besides height.
A example of other lurking variables that could have an effect on weight other than the obvious being
height could be Unhealthy lifestyle and eating habits along with health issues in some cases.
(f)
Use a 1% level of significance to test the claim that ρ > 0. Show all steps of your hypothesis test.
Using a 1% level of significance to test my claim of p > 0 would have to do with height and weight of
the given adult man example.
(g)
Predict the weight of a man whose height is 60 inches.
y =-78.37708129+3.352595495(60) The weight of a man whose height is 60 inches would be around
122.8 pounds.
(h)
Find a 90% confidence interval for men of height 60 inches (use your answer from part g). Include your
interpretation of the confidence interval. Show your formula for E with all important values included.
90% confidence interval for men of height 60 inches y =-78.37708129+3.352595495(60) lurking
variables that could have an effect on weight other than the obvious being height could be Unhealthy
lifestyle and eating habits along with health issues in some cases.
(i)
Predict the height of a man whose weight is 160 pounds.
160 = - 78.37708129 + 3.352 3.352595495 A mans height should be around 71.1 inches if his weight wa
s
160 pounds
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