a simple linear regression analysis is performed by regressing systolic blood pressure on age, and the estimated slope parameter is significantly greater than 0. assume that a two-sided hypothesis test was used and alpha ()



Answer :

What is linear regression analysis?

A variable's value can be predicted using linear regression analysis based on the value of another variable.

In a linear regression analysis, the slope parameter represents the change in the dependent variable (in this case, systolic blood pressure) for a one-unit change in the independent variable (age). If the estimated slope parameter is significantly greater than 0, it means that there is a statistically significant relationship between age and systolic blood pressure, such that as age increases, systolic blood pressure also tends to increase.

Alpha is the significance level of a statistical test, which is the probability of rejecting the null hypothesis when it is true. If a two-sided hypothesis test was used, it means that the test is testing whether the estimated slope parameter is significantly different from 0, rather than just significantly greater than 0. If the p-value (the probability of observing the test statistic if the null hypothesis is true) is less than alpha, then the null hypothesis is rejected, indicating that the estimated slope parameter is significantly different from 0.

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