30 320 30 40 50 80 90 6070 Percent of points earned on Eam 1 b) There are two ou

Question

30 320 30 40 50 80 90 6070 Percent of points earned on Eam 1 b) There are two outliers that have large residuals. Mark them with an 'R' on the scatterplot. There are two outliers that have leverage. Mark them with an ‘X' on the scatterplot. 6. (11 pts.) Rex Boggs from Australia weighed his soap before showering in the morning. He recorded the days since the bar was new and the weight of the soap (in grams.) Variable N Mean StDev Minimum Q1 Median day weight 15 62.941.2 Q3 Maximum 1.00 6.00 10.00 18.00 21.00 6.0 16.0 71.0 96.0124.0 15 11.13 6.52 Pearson correlation of day and weight =-0.998 Use the summary measures from Minitab to calculate the slope and then find the equation of the regression line.

Explanation / Answer

let the equation of regression line is

y=mx+c   where y is wight on day x

m is slope of line and c is y intercept

we know the relation between correlation cofficient and slope as

slope m= correletion * sd(y)/sd(x) = -0.998* 41.2/6.52=-3.306

also

mean(y)= mean(x)*m + c

c= mean(y) - mean(x)*m = 62.9-11.13*-3.306=99.7

thus regression line equation is

y=-3.306x+99.7

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