Math- Statistical question dealing with scatterplots, correlation and "r"?

Question

The article "technology,productivity and Indrustry structure inculded the accompanying data:

x= 2024,5038,905,3572,1157,327,378,191
y=1.90,3.96,2.44,.88,.37,-.90,.49,1.01

x=research and development expenditure
y=growth rate for eight different indrustries

a.calculate r
b.calculate r2 (r-squared) and interpret it
c. find the line of best fit
d.can the regression equation be used for predictions?

any help would be greatly appreciated! :)

btw, where it has the x and y values..im noticing that you have to point the cursor over the line because its not showing all of the data values for x and y. thanks

Answer 1

A) r = 0.682006104

B) r² = 0.4651323259

46.5% of the change in one variable, x, is explained by a change in the related variable, y.

C) y = [5.7506488 x 10^(-4)] x + 0.2917147652

D) Yes, presuming the predictions are not extrapolated (ie, predicting outside the range of the variable or above or below the highest/lowest data point, etc) but keep in mind that because our correlation coefficient r² isn't very large and therefore probably isn't the best predictor because the line of best fit isn't too good at predicting error. So yes, it CAN, but it probably shouldn't be used to make predictions.

Answer 2

Now are you reffering to the Bush Tax Cuts, or the obama center type Tax Cuts? that is not in basic terms Republicans asserting that, there are a minimum of 31 democrats asserting to quantity the Bush tax cuts to each physique. Congressional Republicans are asserting that elevating taxes in a recession won't create jobs. Your scenario is so huge with such lots of variables there isn't any thank you to certainly teach one way or yet another, that's politics no longer technology. in basic terms like a ballot one unmarried study does no longer advise something, analyze have shown that analyze are biased and unreliable, now in case you have diverse analyze by potential of distinctive companies with an identical outcomes, then you definately've a argument. i will teach you that tax cuts for the wealthy do develop tax gross sales. Does Walmart develop gross sales by potential of elevating expenses? No, Walmart will develop gross sales by potential of reducing expenses and promoting greater products. reducing taxes will develop economic interest, and larger economic interest potential greater artwork, and greater artwork potential greater jobs. yet look obama has shrink taxes 8 circumstances to stimulate the economic device and it has no longer worked. This obama economic device is stagnant and could stay so by using fact the destiny is doubtful. Employers are uncertain of the destiny and are unlikely to develop or hire whilst the cost could desire to skyrocket. obamacare is the main important reason employers are no longer hiring. Cap and commerce is the subsequent, then Card examine, all of those obama coverage's are hurting non-union private sector activity growth. the super question right here is why do you opt for for to develop taxes on every person? How is it going to develop your existence by potential of elevating taxes on somebody else? while you're no longer prepared to develop your individual taxes, then you definately should not be prepared to develop someones elses taxes.

Answer 3

|r| = 0.682006104
0.9 < |r| ≤ 1 is considered a good fit
r^2 = 0.465132326
. . .not the best fit in the world. lousy, in fact . . .
y = 0.291714765 + 0.000575065x
You can use the trend line for a "general feel", but the fit is not good enough for reliable prediction.