Data from gapminder.org on 184 countries was used to examine if there is an association between (average) female life expectancy (that is, the average lifespan of women in the country) and the average number of children women give birth to for the year 2019. A scatterplot of the data and a regression table from the Corr/Regression applet follows.
-How would you interpret the standardized statistic for a test of the regression slope?
A) The observed sample slope of -5.20 is 21.6 standard errors below the hypothesized value of zero.
B) The observed sample intercept of 88.91 is 21.6 standard errors below the hypothesized value of zero.
C) Zero is 21.6 standard errors below the observed sample slope of -5.20.
D) Zero is 21.6 standard errors below the observed sample intercept of 88.91.

Question

Data from gapminder.org on 184 countries was used to examine if there is an association between (average) female life expectancy (that is, the average lifespan of women in the country) and the average number of children women give birth to for the year 2019. A scatterplot of the data and a regression table from the Corr/Regression applet follows. 
-How would you interpret the standardized statistic for a test of the regression slope?
A) The observed sample slope of -5.20 is 21.6 standard errors below the hypothesized value of zero. 
B) The observed sample intercept of 88.91 is 21.6 standard errors below the hypothesized value of zero. 
C) Zero is 21.6 standard errors below the observed sample slope of -5.20. 
D) Zero is 21.6 standard errors below the observed sample intercept of 88.91.

Quizplus · Accepted Answer

The standardized statistic indicates how many standard errors the observed sample slope is from the hypothesized slope value, which is typically zero in tests of regression slope.

Data from Gapminder