The following regression output is for predicting the heart weight (in g) of cats fromtheir body weight (in kg). The coecients are estimated using a dataset of 144domestic cats.20-15-5-2.02.53.03.54.0Body weight (kg)Std. ErrorPr(>[t])0.607Estimatet value(Intercept)body wt-0.3570.692-0.5154.0340.25016.1190.000S = 1.452R = 64.66%= 64.41%Radia) Write out the linear model.y- -0.357b) Interpret the intercept.4.034poverty %Expected heart weight of cats with no body weight is 4.034 kgExpected body weight of cats with no heart weight is 4.034 gFor each additional 1 g increase in heart weight, we expect body weight todecrease by 0.357 kgFor each additional 1 g increase in heart weight, we expect body weight toincrease by 0.357 kgFor each additional 1 g increase in heart weight, we expect body weight toincrease by 4.034 kgExpected heart weight of cats with no body weight is -0.357 kgExpected body weight of cats with no heart weight is -0.357 gFor each additional 1 kg increase in body weight, we expect heart weight todecrease by 0.357 gFor each additional 1 kg increase in body weight, we expect heart weight toincrease bu 4034 aHeart weight (g) C) Interpret the slope.Expected body weight of cats with no heart weight is -0.357 gFor each additional 1 g increase in heart weight, we expect body weight toincrease by 0.357 kgExpected heart weight of cats with no body weight is -0.357 kgFor each additional 1 g increase in heart weight, we expect body weight toincrease by 4.034 kgExpected heart weight of cats with no body weight is 4.034 kgFor each additional 1 g increase in heart weight, we expect body weight todecrease by 0.357 kgFor each additional 1 kg increase in body weight, we expect heart weight todecrease by 0.357 gFor each additional 1 kg increase in body weight, we expect heart weight toincrease by 4.034 gExpected body weight of cats with no heart weight is 4.034 gFor each additional 1 kg increase in body weight, we expect heart weight toincrease by 0.357gd) Interpret .. Body weight explains 64.66% of the variability in heart weight in catsHeart weight explains 64.66% of the variability in body weight in catsHeart weight causes 64.66% of the difference in body weight in catsBody weight causes 64.66% of the difference in heart weight in catse) Calculate the correlation coefficient and round to 4 decimal places.

From the output, the slope is 4.034 and the intercept is -0.357.

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 )

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter1: Equations And Graphs

Section: Chapter Questions

Problem 10T: Olympic Pole Vault The graph in Figure 7 indicates that in recent years the winning Olympic men’s...

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