Copy the scatterplot you created for this dataset, paste it below (as an image file; per demonstrations), center it on the page, and change the size to 50% by 50%.

What is the correlation coefficient for this dataset?(Provide your answer as _____ = ______________; symbol = numerical value.)

What is the value of the y-intercept, based on the scatterplot (rounded to 4 dec.)?

Y=4.4483

What is the value of the y-intercept, based on the regression output you produced using the data analysis option (rounded to 6 dec.)?

What is the mean value of your IV variable?

Mean = 54.100

What is the mean value of your DV variable?

Mean = 54.1

What is the value of the SE (rounded to 4 dec.)?

7.2930

What is your sample size for this dataset?(Provide your answer as R^2= 0.8580; symbol = numerical value.)

For this dataset, type the equation for the least-squares regression line below (as demonstrated in class/lecture videos).

What is the value of the slope for your predictor variable (rounded to 4 dec.)?

Slope =

Interpret the slope:

According to this model, there will be a _______________________________________ of wheat yield for every _____________________________________ in rainfall.

If the rainfall is 9.25 inches, what is the predicted wheat yield?

Copy the residual plot you created for this dataset, paste it below (as an image file; per demonstrations), center it on the page, and change the size to 50% by 50%.

Rainfall(inches) Wheat Yield(Bushels)

11.5 62 7.6 26.5 11.3 52.5 19.2 81 8.1 40.5 11.3 42 15.1 73.2 12.5 55.1 12.075 54.100 Mean 7.6 26.5 Min 19.2 81 Max 7.6 54.10 Min& Y-avg 19.2 54.10 Max & Y-avg

SUMMARY OUTPUT

Regression Statistics Multiple R 0.926286372 r 0.926286372 R Square 0.858006443 r² 0.858006443 (SSTO-SSE)/SSTO Adjusted R Square 0.83434085 Standard Error 7.293071586 SE 7.293071586 sqrt(SSE/df) Observations 8 n ANOVA df SS MS F Significance F Regression 1 1928.386641 1928.386641 36.25543842 0.000946801 Residual 6 319.133359 53.18889316 Total 7 2247.52 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0% Intercept 0.386663075 9.285809654 0.041640211 0.968136595 -22.33489461 23.10822076 -22.33489461 23.10822076 X 4.448309476 0.738768575 6.021248909 0.000946801 2.640607895 6.256011058 2.640607895 6.256011058 RESIDUAL OUTPUT PROBABILITY OUTPUT Observation Predicted Y Residuals Standard Residuals Percentile Y 1 51.54222205 10.45777795 1.548824944 6.25 26.5 2 34.19381509 -7.693815094 -1.139474637 18.75 40.5 3 50.65256016 1.847439844 0.273610793 31.25 42 4 85.79420502 -4.794205018 -0.710034613 43.75 52.5 5 36.41796983 4.082030168 0.604559609 56.25 55.1 6 50.65256016 -8.652560156 -1.281467351 68.75 62 7 67.55613617 5.643863835 0.835871361 81.25 73.2 8 55.99053153 -0.890531527 -0.131890106 93.75 81

Rainfall(inches) Wheat Yield(Bushels) X Y Yhat Residual(Y-Yhat) Squared Residuals Yhat-Ybar Squared Y-Ybar Squared 11.5 62 11.5 62 51.54215 10.45785 109.3666266 -2.55785 6.542596623 7.9 62.41 7.6 26.5 7.6 26.5 34.19378 -7.69378 59.19425069 -19.906 396.2575947 -27.6 761.76 11.3 52.5 11.3 52.5 50.65249 1.84751 3.4132932 -3.448 11.8853252 -1.6 2.56 19.2 81 19.2 81 85.79406 -4.79406 22.98301128 31.694 1004.513439 26.9 723.61 8.1 40.5 8.1 40.5 36.41793 4.08207 16.66329548 -17.682 312.6555995 -13.6 184.96 11.3 42 11.3 42 50.65249 -8.65249 74.8655832 -3.448 11.8853252 -12.1 146.41 15.1 73.2 15.1 73.2 67.55603 5.64397 31.85439736 13.456 181.0647434 19.1 364.81 12.5 55.1 12.5 55.1 55.99045 -0.89045 0.792901202 1.890 3.573801202 1.0 1.00 12.075 54.1 Mean 0.00062 319.133359 SSE 1928.378425 SSR 2247.52 7.293071587 SE y = 4.4483x + 0.3867 R = 0.858