A researcher believes that as age increases, the grip strength (pounds per square inch, psi) of an individual€™s dominant hand decreases. From a random sample of 17 females, he obtains the following data.

(a) Treating age as the explanatory variable, determine the estimates of β₀ and β₁.
(b) Assuming the residuals are normally distributed, test whether a linear relation exists between the explanatory variable, age, and response variable, grip strength, at the α = 0.05 level of significance.
(c) Based on your answer to (b), what would be a good estimate of the grip strength of a randomly selected 42-year-old female?

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Age, r Grip Strength, y Age, r Grip Strength, y 15 65 34 45 16 60 37 58 28 58 41 70 61 60 43 73 53 46 49 45 66 53 60 43 56 16 56 61 25 75 68 30 28 46