9 What is a two-sided p-value for the regression? Hint: Assume that a t distribution with > 200 df is the same as a N(0,1) distribution. 10 What is the estimated standard error of the slope estimate? Hint: Use the t test for simple linear regression. 11 Provide a 95% Cl for the true slope (β).
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
Hypertension
The INTERSALT Study investigators collected standardized data on timed 24-hour urinary excretion for 10,079 men and women from 52 population samples in 32 countries (Brown et al.) [14] One of the goals of the INTERSALT Study was to quantify the relationship between 24-hour urinary Na (y) and estimated 24-hour urinary Na (x) obtained from casual urine specimens at one point in time. The investigators presented a simple linear regression of y on x, separately for men and women. The regression equation for men was: Y = 1.03 x − 7.19, with R2 = 0.27, n = 1369
9 What is a two-sided p-value for the regression?
Hint: Assume that a t distribution with > 200 df is the same as a N(0,1) distribution.
10 What is the estimated standard error of the slope estimate?
Hint: Use the t test for simple linear regression.
11 Provide a 95% Cl for the true slope (β).
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