- 10 1 And 10 2 The Following Table Provides Information On Prices Of Digital Cameras And Number Of Megapixels Of The Came 1 (38.04 KiB) Viewed 24 times
(a). (2 pts) What does the scatter diagram indicate about the association between the two variables (positive/negative)? To approximate the linear association between Price and Megapixels, the following output was obtained from StatCrunch using simple linear regression analysis. Simple linear regression results: Dependent Variable: y Independent Variable: x y = -145.02655 + 38.318584 x Sample size: 10 R (correlation coefficient) = 0.89446889 R-sq = 0.80007459 Estimate of error standard deviation: 50.904648 Parameter estimates: Parameter Estimate Std. Err. Alternative DF T-Stat P-value Intercept -145.02655 66.319695 #0 8 -2.1867795 0.0602 Slope 38.318584 6.7722536 #0 8 5.6581732 0.0005 Analysis of variance table for regression model: Source DF SS MS F-stat P-value Model 1 82959.735 82959.735 32.014924 0.0005 Error 8 20730.265 2591.2832 Total 9 103690
(6) Based on the above output, is there a significant linear association between ‘Price' and 'Megapixels'? Namely, test Ho: B1 = 0 vs. H:B1 0 (1) (2 pts) At a = 0.05 level significance, state the general decision rule based on the P-value approach (ii) (2 pts) Identify the P-value from the output and state conclusion. (iii) (2 pts) Write the conclusion in plain English in the context of the problem (b) (4 pts) Write estimated regression equation. (c) (3 pts) Predict the expected price of a digital camera when the number of megapixels is 9.