8.26 Cats, Part I. The following regression output is for predicting the heart weight (in g) of cats from their body weight (in kg). The coefficients are estimated using a dataset of 144 domestic cats. 20- Estimate -0.357 Std. Error t value Pr(>t|) (Intercept) body wt 0.692 0.250 -0.515 0.607 4.034 16.119 0.000 15- s = 1.452 R2 = 64.66% R2 adj = 64.41% (a) Write out the linear model. (b) Interpret the intercept. (c) Interpret the slope. Heart weight (g)

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8.26 Cats, Part I. The following regression output is for predicting the heart weight (in g) of cats from
their body weight (in kg). The coefficients are estimated using a dataset of 144 domestic cats.
20-
Estimate
Std. Error
t value
Pr(>|t|)
(Intercept)
body wt
= 1.452
-0.357
0.692
-0.515
0.607
4.034
0.250
16.119
0.000
15-
R2
= 64.66%
Ridi = 64.41%
'adj
(a) Write out the linear model.
10
(b) Interpret the intercept.
(c) Interpret the slope.
(d) Interpret R².
(e) Calculate the correlation coefficient.
5-
2.0
2.5
3.0
3.5
4.0
Body weight (kg)
Heart weight (g)
Transcribed Image Text:8.26 Cats, Part I. The following regression output is for predicting the heart weight (in g) of cats from their body weight (in kg). The coefficients are estimated using a dataset of 144 domestic cats. 20- Estimate Std. Error t value Pr(>|t|) (Intercept) body wt = 1.452 -0.357 0.692 -0.515 0.607 4.034 0.250 16.119 0.000 15- R2 = 64.66% Ridi = 64.41% 'adj (a) Write out the linear model. 10 (b) Interpret the intercept. (c) Interpret the slope. (d) Interpret R². (e) Calculate the correlation coefficient. 5- 2.0 2.5 3.0 3.5 4.0 Body weight (kg) Heart weight (g)
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