To investigate the relationship between yield of potatoes and level of fertilizer application, a researcher divides a field into eight plots of equal size and applies differing amounts of fertilizer to each. The yield of potatoes in pounds and the amount of fertilizer in pounds are recorded for each plot. The data are as follows: Fertilizer (pounds), x Yield (pounds), y
1 25
1.5 31
2 27
2.5 28
3 36
3.5 35
4 32
4.5 34
Find the prediction equation for the regression of yield on fertilizer. Round values to four decimal places.
a. ˆy=24.4524+2.3810x
b. ˆy=27.6073+1.3872x
c. ˆy=22.1023+2.9840x
d. ˆy=25.1523+2.1511x