The scatter plot and least squares summary below shows the relationship between weight measured in kilograms and height measured in centimetres of 450 physically active individuals. Furthermore, the sample correlation coefficient for height and weight is computed to be 0.72.

a)Write the equation of the regression line. Interpret the slope and intercept in context. What is the estimated weight for someone who is 155 cm tall?

b) Compute a 90% Confidence Interval for the true slope. Interpret the meaning of the constructed CI above in context

c) Based on the above CI, do the data provide evidence that the true slope is different from 1.10 at a 10% level of significance? Why/ Why not?

d) Based on the given information, compute the ratio of the sample variance of height to the sample variance of weight

e) Find the percentage of variation in weight that was explained by height through the linear regression model