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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- 5- 2.0 2.5 3.0 3.5 4.0 Body weight (kg) Estimate Std. Error t value Pr(>t) (Intercept) -0.357 0.692 -0.515 0.607 body wt 4.034 0.250 16.119 0.000 = 1.452 R = 64.66% Rdi = 64.41% a) Write out the linear model. y - * poverty % b) Interpret the intercept. 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 1g 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 by 4.034 g For each additional 1 kg increase in body weight, we expect heart weight to increase hy0 357 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- 5- 2.0 2.5 3.0 3.5 4.0 Body weight (kg) Estimate Std. Error t value Pr(>t) (Intercept) -0.357 0.692 -0.515 0.607 body wt 4.034 0.250 16.119 0.000 = 1.452 R = 64.66% Rdi = 64.41% a) Write out the linear model. y - * poverty % b) Interpret the intercept. 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 1g 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 by 4.034 g For each additional 1 kg increase in body weight, we expect heart weight to increase hy0 357 Heart weight )

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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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- 2.0 2.5 3.0 3.5 4.0 Body weight (kg) Estimate Std. Error t value Pr(>|t) (Intercept) body wt. -0.357 0.692 -0.515 0.607 4.034 0.250 16.119 0.000 s = 1.452 R = 64.66% Radi = 64.41% a) Write out the linear model. * poverty % b) Interpret the intercept. 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 by 4.034 g For each additional 1 kg increase in body weight, we expect heart weight to increase by 0.3578 Heart weight )
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- 2.0 2.5 3.0 3.5 4.0 Body weight (kg) Estimate Std. Error t value Pr(>|t) (Intercept) body wt. -0.357 0.692 -0.515 0.607 4.034 0.250 16.119 0.000 s = 1.452 R = 64.66% Radi = 64.41% a) Write out the linear model. * poverty % b) Interpret the intercept. 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 by 4.034 g For each additional 1 kg increase in body weight, we expect heart weight to increase by 0.3578 Heart weight )
C) Interpret the slope. Expected body weight of cats with no heart weight is -0.357 g For each additional 1g 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 R. 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.
Transcribed Image Text:C) Interpret the slope. Expected body weight of cats with no heart weight is -0.357 g For each additional 1g 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 R. 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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