7. A researcher has estimated a linear model to study the effect of weekly household income sci [in $100) on weekly household expenditure on food yg

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7. A researcher has estimated a linear model to study the effect of weekly household income sci [in $100) on weekly household expenditure on food yg [in $). Using asample of size N = 40, she found that a; = 83.42 + 10.21% 12220384(43.41) {2.09) and 2:1(3'13 — fl)? = 500, 000 and the sample mean of 3:1: is 19.605. Choose the wrongstatement. (a The estimated variance of the slope estimator is (2.0902. )(b))) The standard deviation of the intercept coefficient is 43.41. We would reject H0 : “the slope parameter is zero” at 5% level. [c[d If a household has a weekly income of 1000 dollars, the food expenditure wouldbe 83.42 + 10.21 x 10 with some uncertainty. [e] The sample correlation coefficient between the household income and the house-hold expenditure on food is positive.