The correct value for SSₓₓ is 24.
To compute the sum of squares for x (SSₓₓ), you can use the formula:
SS_xx = Σ(x_i − x )^2
where
x_i is each individual x-value, x is the mean of x.
First, calculate the mean (x ):
x =(5+9+10+7+7+10+6+8)/8
x =8
Now, calculate the sum of squares for x (SSₓₓ):
SS_xx =(5−8)^2 +(9−8)^2 +(10−8)^2 +(7−8)^2 +(7−8)^2 +(10−8)^2 +(6−8) ^2 +(8−8)^2
SS_xx =3^2 +1^2 +2^2 +(−1)^2 +(−1)^2 +2^2 +(−2)^2 +0^2
SS_xx =9+1+4+1+1+4+4+0
SS_xx =24
Therefore, the correct answer is not among the given options. The correct value for SSₓₓ is 24.