For each of the following hypothetical studies, identify the primary caution each researcher should have when drawing conclusions about the relationship he or she found.

Sarah wants to determine the relationship between height and weight for high school students in the United States. She collects data on height, in inches, and weight, in pounds, for 75 randomly selected high school students in each state. She averages the values by state and performs a linear regression on the 50 state-level values. She finds a high positive linear correlation between height and weight

The table shows population statistics for the ages of best actor and best supporting actor winners at an awards ceremony. the distributions of the ages are approximately bell-shaped. compare the z-scores for the actors in the following situation. best actor best supporting actor muequals42.0 muequals49.0 sigmaequals7.3 sigmaequals15 in a particular year, the best actor was 59 years old and the best supporting actor was 45 years old. determine the z-scores for each. best actor: z equals best supporting actor: z equals (round to two decimal places as needed.) interpret the z-scores. the best actor was (more than 2 standard deviations above more than 1 standard deviation above less than 1 standard deviation above less than 2 standard deviations below) the mean, which (is not, is) unusual. the best supporting actor was (less than 1 standard deviation below more than 1 standard deviation above more than 2 standard deviations below more than 1 standard deviation below) the mean, which (is is not) unusual.

The sum of two numbers is 12 and their difference is 18 what are the two numbers

The distance between two points is 6.5cm and scale of map is 1: 1000 what's the distance between the two points