Jason used a graphing tool to find the equation of the line of best fit in this scatter plot. After reading the equation of the line from the graphing tool, Jason wrote in his notebook that the line of best fit is represented by the equation y = 0.316x + 9.105. Jason likely an error when writing the equation in his notebook because the slope and the y-intercept of the equation he wrote.

Jason likely MADE an error when working the equation in his notebook because ONLY THE Y-INTERCEPT MATCHES the slope and the y-intercept of the equation he wrote.

Step-by-step explanation:

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step-by-step explanation:

irst, find the z score of a score of 80. this is given by the formula z = (x-u)/o, where x is the score, u is the mean, and o is the standard deviation. this gives

z = (80-78)/12 = 1/6 = .1667

now, find what percentile a z score of 1/6 correlates to in the normal distribution.

a z score of 1/6 = .1667 is equivalent to the 56.36th percentile of the distribution. so the probability a score is over this is 1-.5636 = .4364

the mean of a sample mean is equal to the original mean. however, the standard deviation of a sample mean is equal to the original standard deviation divided by the square root of n (sample size). so the new standard deviation is 12/sqrt(16) = 3.

the new z score is 80-78/3 = 2/3 = .667. this is equivalent to the 74.86th percentile. so the probability that the mean will be greater than this score is 1-.7486 = .2514.