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In: Statistics and Probability

1. (5pt) In order to study the relation of weight to blood sugar level, medical researchers...

1. (5pt) In order to study the relation of weight to blood sugar level, medical researchers considered a random sample of 12 patients. The observed Pearson correlation between weight and blood sugar level was 0.63. Perform a hypothesis test for the presence of correlation in the population at significance level 0.05.

2. (5pt) The researchers in the previous problem fit a simple linear regression model to the same data with blood sugar level as the response (Y) and weight as the regressor (X).

(a) (2pt) If X¯ = 165, Y¯ = 106, SX = 10 and SY = 20, compute the least squares estimates of intercept and slope.

(b) (3pt) Suppose the estimated standard error of βˆ 1 is 0.4912, construct a 99% confidence interval for the slope.

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orchestra answered 2 years ago
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