a) Write the equation of the best-fit line. b) Identify the correlation coefficient. C) What fraction of variability in heights can be explained using the linear model of height vs wrist circumference? Coefficient of determination:

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Body frame size is determined by a person's wrist circumference in relation to height. A researcher
measures the wrist circumference and height of a random sample of individuals. The data is
displayed below.
80
75
70
65
S 55 6 6.5 7 75 8 85 9
Wrist Circumference (in) O
Excel Output:
Regression Statistics
Multiple R
0.7754
R Square
0.6012
Adjusted R
Square
0.5879
Standard Error
3.7702
Observations
32
Coefficients
34.5655
Standard Error
t-Stat
5.3396 6.4734 3.74 E 7
6.725 1.87E-7
Pvalue
(intercept)
wrist
5.0762
0.7548
Round answers to 4 decimal places.
a) Write the equation of the best-filine.
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Height (in)
Transcribed Image Text:Body frame size is determined by a person's wrist circumference in relation to height. A researcher measures the wrist circumference and height of a random sample of individuals. The data is displayed below. 80 75 70 65 S 55 6 6.5 7 75 8 85 9 Wrist Circumference (in) O Excel Output: Regression Statistics Multiple R 0.7754 R Square 0.6012 Adjusted R Square 0.5879 Standard Error 3.7702 Observations 32 Coefficients 34.5655 Standard Error t-Stat 5.3396 6.4734 3.74 E 7 6.725 1.87E-7 Pvalue (intercept) wrist 5.0762 0.7548 Round answers to 4 decimal places. a) Write the equation of the best-filine. MacBook Pro esc F1 F2 DI F3 F4 F5 F6 F7 ! #3 2$ % 2 4 6 7 8. Q W E R Y A S F G -k * 00 D Height (in)
Round answers to 4 decimal places.
a) Write the equation of the best-fit line.
b) Identify the correlation coefficient.
C) What fraction of variability in heights can be explained using the linear model of height vs wrist
circumference?
Coefficient of determination:
d) Use the equation of the bestfit line to predict the height of a person with a wrist circumference of
6 inches.
inches
e) One of the points on the seatterpiot Is (7.1,78.7). Calculate the residual for this point, hint: y ý.
inches
O The mean wrist circumference for this data is 7.019 inches. Predict the mean height for this data.
inches
g) When predicting heights, what is a "typical" error using this linear model?
Standard error of estimate:
Linches
Check Answer
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Transcribed Image Text:Round answers to 4 decimal places. a) Write the equation of the best-fit line. b) Identify the correlation coefficient. C) What fraction of variability in heights can be explained using the linear model of height vs wrist circumference? Coefficient of determination: d) Use the equation of the bestfit line to predict the height of a person with a wrist circumference of 6 inches. inches e) One of the points on the seatterpiot Is (7.1,78.7). Calculate the residual for this point, hint: y ý. inches O The mean wrist circumference for this data is 7.019 inches. Predict the mean height for this data. inches g) When predicting heights, what is a "typical" error using this linear model? Standard error of estimate: Linches Check Answer esc DL F1 F2 F3 F4 F5 @ # 2$ %. & 2 3 4 7 8. Q W E R T tab A S G os lock < cO
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