A statistics student is asked to estimate y = β₀ + β₁x + ε.She calculates the following values: = 440, , = 1,120,n = 11.Which of the following is the value of y if x equals 2?

Question

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Using the given values, we can estimate the coefficients as follows: β₀ = 440/1120 = 0.3929 β₁ = 1/11 = 0.0909 ε = (11eab0ce_30ba_c7c0_a083_b7807903d915_TB4266_11 - 0.3929*11eab0ce_30ba_c7bf_a083_6318ce25caa2_TB4266_11 - 0.0909*2)/11 = 1.9091 Plugging in x=2, we get: y = 0.3929*2*11eab0ce_30ba_c7bf_a083_6318ce25caa2_TB4266_11 + 0.0909*2*11eab0ce_30ba_c7bf_a083_6318ce25caa2_TB4266_11 + 1.9091 = 58.22

A Statistics Student Is Asked to Estimate Y = β0

A Statistics Student Is Asked to Estimate Y = β₀