Read the following description of a data set.
Wendy is a programmer in Silicon Valley and spends most of her day typing and drinking coffee. She wants to know if drinking coffee makes her type faster.
Over the next few days, Wendy varies the number of cups of coffee she drinks, x, and measures the average number of words typed per minute on each day, y.
The least squares regression line of this data set is:
y= 8.084x + 72.337
What average daily typing speed does this line predict if Wendy drinks 1.59 cups of coffee?
Round your answer to the nearest thousandth.
Using the regression line equation y = 8.084x + 72.337, we can substitute x = 1.59 into the equation to find the predicted average daily typing speed:
y = 8.084(1.59) + 72.337
y = 12.87156 + 72.337
y = 85.20856
Therefore, the regression line predicts that Wendy's average daily typing speed will be approximately 85.209 words per minute if she drinks 1.59 cups of coffee.