We want to know if the timing of the first blooms on Japanese Cherry trees is dependent on the coolness
of the weather. The table below contains the average temperature in March (Celsius) and the day of April
when the first blossom appeared for a 24-year time period.
x = average temperature in March; y = day in April of first bloom
a) Graph the data. Look at your scatterplot – does this data set show a correlation? If so, what how would
you describe the correlation (strength, direction)? Which function family would you use to describe this?
b) Find the equation of the regression equation that would best describe this data. What is this equation?
c) Give the coefficient of determination: ___________ and the correlation coefficient: _____________.
Which one of these tells us whether or not this equation is a good predictor? ____________________
Which one of these tells us about the strength of the correlation? ___________________________
d) Based on your equation, what day in April would the first blossom appear if the average temperature
in March was...
2.5 degrees?
3.5 degrees?
6.5 degrees?
e) Generalize the information in your equation in context.
x y
4.0 14
5.4 8
3.2 11
2.6 19
4.2 14
4.7 14
4.9 14
4.0 21
x y
4.9 9
3.8 14
4.0 13
5.1 11
4.3 13
1.5 28
3.7 17
3.8 19
x y
4.5 10
4.1 17
6.1 3
6.2 3
5.1 11
5.0 6
4.6 9
4.0 11

Question

Accepted Answer

Sure, here are the calculations for each part:a)  Graphing the data in a scatterplot shows a…