Solution:
Given:
Step 1: Find X⋅Y and X2 as follows.
Step 2: Find the sum of every column:
∑X=1830,∑Y=75.4,∑X⋅Y=16765,∑X2=947500
Step 3: Use the following equations to find a and b :
a=n⋅∑X2−(∑X)2∑Y⋅∑X2−∑X⋅∑XY=6⋅947500−1830275.4⋅947500−1830⋅16765≈17.45b=n⋅∑X2−(∑X)2n⋅∑XY−∑X⋅∑Y=6⋅947500−(1830)26⋅16765−1830⋅75.4≈−0.01601
Step 4: Substitute a and b in regression equation formula
y=a+b⋅xy=17.45−0.01601⋅x
Thus, option [2] is correct.
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