The following regression output is for predicting the heart weight (in g) of cats from their body weight (in kg). The coecients are estimated using a dataset of 144 domestic cats. 20- 15 5- 2.0 2.5 3.0 3.5 4.0 Body weight (kg) Estimate Std. Error -0.357 t value Pr(>t|) -0.515 (Intercept) body wt s = 1.452 0.692 0.607 4.034 0.250 16.119 0.000 R = 64.66% R = 64.41% a) Write out the linear model. y- -0.357 b) Interpret the intercept. 4.034 poverty % Expected heart weight of cats with no body weight is 4.034 kg Expected body weight of cats with no heart weight is 4.034 g For each additional 1 g increase in heart weight, we expect body weight to decrease by 0.357 kg For each additional 1g increase in heart weight, we expect body weight to increase by 0.357 kg For each additional 1 g increase in heart weight, we expect body weight to increase by 4.034 kg Expected heart weight of cats with no body weight is -0.357 kg Expected body weight of cats with no heart weight is -0.357 g For each additional 1 kg increase in body weight, we expect heart weight to decrease by 0.357 g Heart weight )
The following regression output is for predicting the heart weight (in g) of cats from their body weight (in kg). The coecients are estimated using a dataset of 144 domestic cats. 20- 15 5- 2.0 2.5 3.0 3.5 4.0 Body weight (kg) Estimate Std. Error -0.357 t value Pr(>t|) -0.515 (Intercept) body wt s = 1.452 0.692 0.607 4.034 0.250 16.119 0.000 R = 64.66% R = 64.41% a) Write out the linear model. y- -0.357 b) Interpret the intercept. 4.034 poverty % Expected heart weight of cats with no body weight is 4.034 kg Expected body weight of cats with no heart weight is 4.034 g For each additional 1 g increase in heart weight, we expect body weight to decrease by 0.357 kg For each additional 1g increase in heart weight, we expect body weight to increase by 0.357 kg For each additional 1 g increase in heart weight, we expect body weight to increase by 4.034 kg Expected heart weight of cats with no body weight is -0.357 kg Expected body weight of cats with no heart weight is -0.357 g For each additional 1 kg increase in body weight, we expect heart weight to decrease by 0.357 g Heart weight )
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter2: Exponential, Logarithmic, And Trigonometric Functions
Section2.CR: Chapter 2 Review
Problem 111CR: Respiratory Rate Researchers have found that the 95 th percentile the value at which 95% of the data...
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![The following regression output is for predicting the heart weight (in g) of cats from
their body weight (in kg). The coecients are estimated using a dataset of 144
domestic cats.
20-
15-
5-
2.0
2.5
3.0
3.5
4.0
Body weight (kg)
Std. Error
Pr(>[t])
0.607
Estimate
t value
(Intercept)
body wt
-0.357
0.692
-0.515
4.034
0.250
16.119
0.000
S = 1.452
R = 64.66%
= 64.41%
Radi
a) Write out the linear model.
y- -0.357
b) Interpret the intercept.
4.034
poverty %
Expected heart weight of cats with no body weight is 4.034 kg
Expected body weight of cats with no heart weight is 4.034 g
For each additional 1 g increase in heart weight, we expect body weight to
decrease by 0.357 kg
For each additional 1 g increase in heart weight, we expect body weight to
increase by 0.357 kg
For each additional 1 g increase in heart weight, we expect body weight to
increase by 4.034 kg
Expected heart weight of cats with no body weight is -0.357 kg
Expected body weight of cats with no heart weight is -0.357 g
For each additional 1 kg increase in body weight, we expect heart weight to
decrease by 0.357 g
For each additional 1 kg increase in body weight, we expect heart weight to
increase bu 4034 a
Heart weight (g)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb6fcc9de-2c12-46f2-94d4-6703c9087dda%2F298a51bf-7090-4919-885d-aab1e6342916%2Fvmglje_processed.png&w=3840&q=75)
Transcribed Image Text:The following regression output is for predicting the heart weight (in g) of cats from
their body weight (in kg). The coecients are estimated using a dataset of 144
domestic cats.
20-
15-
5-
2.0
2.5
3.0
3.5
4.0
Body weight (kg)
Std. Error
Pr(>[t])
0.607
Estimate
t value
(Intercept)
body wt
-0.357
0.692
-0.515
4.034
0.250
16.119
0.000
S = 1.452
R = 64.66%
= 64.41%
Radi
a) Write out the linear model.
y- -0.357
b) Interpret the intercept.
4.034
poverty %
Expected heart weight of cats with no body weight is 4.034 kg
Expected body weight of cats with no heart weight is 4.034 g
For each additional 1 g increase in heart weight, we expect body weight to
decrease by 0.357 kg
For each additional 1 g increase in heart weight, we expect body weight to
increase by 0.357 kg
For each additional 1 g increase in heart weight, we expect body weight to
increase by 4.034 kg
Expected heart weight of cats with no body weight is -0.357 kg
Expected body weight of cats with no heart weight is -0.357 g
For each additional 1 kg increase in body weight, we expect heart weight to
decrease by 0.357 g
For each additional 1 kg increase in body weight, we expect heart weight to
increase bu 4034 a
Heart weight (g)
Transcribed Image Text:C) Interpret the slope.
Expected body weight of cats with no heart weight is -0.357 g
For each additional 1 g increase in heart weight, we expect body weight to
increase by 0.357 kg
Expected heart weight of cats with no body weight is -0.357 kg
For each additional 1 g increase in heart weight, we expect body weight to
increase by 4.034 kg
Expected heart weight of cats with no body weight is 4.034 kg
For each additional 1 g increase in heart weight, we expect body weight to
decrease by 0.357 kg
For each additional 1 kg increase in body weight, we expect heart weight to
decrease by 0.357 g
For each additional 1 kg increase in body weight, we expect heart weight to
increase by 4.034 g
Expected body weight of cats with no heart weight is 4.034 g
For each additional 1 kg increase in body weight, we expect heart weight to
increase by 0.357g
d) Interpret .
. Body weight explains 64.66% of the variability in heart weight in cats
Heart weight explains 64.66% of the variability in body weight in cats
Heart weight causes 64.66% of the difference in body weight in cats
Body weight causes 64.66% of the difference in heart weight in cats
e) Calculate the correlation coefficient and round to 4 decimal places.
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