# Stat 101B Assignment four (ANCOVA) Professor Esfadiari Using hsb2.csv data set posted on week six, conduct the following analysis and answer the…

“Only do a few things from part B”

PartB

Conduct multiple linear regression with gender, program type and the interaction between them as predictors. Explain the similarities with anova results reported in parta. Interpret R-squared within context.

Here is my process:

> mlr.fit <- lm(writing  ~ gender +  programtype +  programtype:gender, data = hsb2)> summary(mlr.fit)Call:lm(formula = writing ~ gender + programtype + programtype:gender,     data = hsb2)Residuals:    Min      1Q  Median      3Q     Max -21.617  -5.143   1.037   6.123  21.174 Coefficients:                               Estimate Std. Error t value Pr(>|t|)    (Intercept)                      57.586      1.085  53.070  < 2e-16 ***gendermale                       -2.969      1.622  -1.831 0.068676 .  programtypegeneral               -4.336      2.006  -2.162 0.031849 *  programtypevocation              -6.623      1.925  -3.440 0.000712 ***gendermale:programtypegeneral    -1.138      2.954  -0.385 0.700521    gendermale:programtypevocation   -6.168      2.851  -2.163 0.031745 *  —Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1Residual standard error: 8.264 on 194 degrees of freedomMultiple R-squared:  0.259,Adjusted R-squared:  0.2399 F-statistic: 13.56 on 5 and 194 DF,  p-value: 2.382e-11#R-squared is 0.259, it means the 25.9% errors of prediction of writing score can be explained by gender, program type and the interaction between them.

Please do the “Explain the similarities with anova results reported in parta.” for me, thanks

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