work must be done by hand

Cellular ability to regulate homeostasis is important for normal cell functioning and can be measured by basal calcium (Ca) pump activity (nmol/mg/min). In a study investigating the effect of mercury (Hg) exposure in mothers on their newborn's cellular regulatory function, researchers measured the mercury deposits (g/g) in the hair of a sample of 58 mothers along with their newborn's basal Ca pump activity. The data are summarized in the attachment

a. Assuming all relevant assumptions were met, calculate the linear regression equation that predicts newborn basal Ca pump activity from maternal hair Hg level. Give your answer as a linear equation for full credit.

b. Within the context of the problem, interpret the estimates of the slope and intercept of the model.

c. If a mother had a 1.5 g/g mercury deposits in her hair, what would you predict her baby's basal Ca pump activity to be?

d. Calculate the 95% confidence interval for the slope for this population. (3pt) Given: critical value = 2.00 and jQuery22409429557531377857_1605117593604?1 = 2.13

e. Is the correlation between hair Hg level and basal Ca pump activity (r = -0.68) significant? Perform a correlation test and include all steps for full credit (you don't have to mention assumptions).

f. Explain how your confidence interval in part (d) corresponds to your results in part (e). Be specific.

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