Exercise 30 presents regression output from a model for predicting theheart weight (in g) of cats from their body weight (in kg). The coefficients are estimated using adataset of 144 domestic cats. The model output is also provided below.

Estimate Std. Error t value Pr(>|t|)

(Intercept) 0.3570 .692 0.5150 .607

body wt 4.034 0.250 16.119 0.000

s= 1.452;R2= 64.66%;R2adj= 64.41%

1. What are the hypotheses for evaluating whether body weight is positively associated withheart weight in cats?
2. State the conclusion of the hypothesis test from part 1 in context of the data.
3. Calculate a 95% confidence interval for the slope of body weight, and interpret it in contextof the data.
4. Do the results from the hypothesis test and the confidence interval agree?

I believe i know the null hypothesis (that there is no association) and alternative (there exists an association). I also calculated that in 2. we reject null hypothesis because t = 16. and in 3. I calculated it to be 4.034 plus or minus .5, but i am struggling to understand 2,3, and 4 conceptually