Given the following five pairs of (x,?y)
values,
x
1
3
11
8
14
y
10
7
4
2
1
(a)
Determine the least squares regression line.
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Basic Math
Given the following five pairs of (x,?y)values,
x
1
3
11
8
14
y
10
7
4
2
1
(a)
Determine the least squares regression line. (Be sure to save your unrounded values of b0and b1 for use in Problem #6 below.)
(b)
Draw the least squares regression line accurately on ascatterplot. Then look to see which (x,?y) pairsare above the regression line. Then add up they-values for all of the (x,?y) pairsthat fall above the regression line. For example, if you draw your least squares regression lineaccurately on a scatterplot, and you find that the first two(x,?y) pairs [i.e., (1,?10) and (3,?7)] areabove the regression line, then since the sum of the twocorresponding y-values is 10 + 7 = 17, you would enter 17into the answer box.
(c) Calculate the residuals. (d) Calculate the residual sum ofsquares SS(error). (e) Find the value of the test statistic fortesting the hypothesis H0 : ? = 0 H1 : ? ? 0 (f) Find the 10%critical value for the hypothesis test in (e)
Answer & Explanation
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3.7 Ratings (351 Votes)
abScatterplot is drawn as Here we see that there 3 points which fall above the regressionline 110 114 and 141So Sum of y values for the xy pairs that fall above
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