In simple linear regression, the null hypothesis is that population coefficient

Question

In simple linear regression, the null hypothesis is that population coefficient of correlation is zero. True False Needs more information in a simple linear regression, the regression equation is given by: Y_e = a + bX. if correlation coefficient (r) is greater than zero, then _____. Y increases as X decreases and Y decreases as X increases. Y increases as X increases and Y decreases as X decreases.. Information is needed about b to determine whether Y and X move in the same direction or not. In linear regression analysts, the standard error of estimate (S_yx) has the property that about 68% of the errors |y - y_e| will be less than ____ Syx. 1 2 3

Explanation / Answer

5. we answer our research question concerning the existence of a linear relationship by using the t-test for testing the population correlation coefficient H0: = 0.

So answer is a. True

7. In statistics, the 68–95–99.7 rule is a shorthand used to remember the percentage of values that lie within a band around the mean in a normal distribution with a width of two, four and six standard deviations, respectively; more accurately, 68.27%, 95.45% and 99.73% of the values lie within one, two and three standard deviations of the mean, respectively.

Based on this rule for 68% answer is a. 1

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