A Researcher Is Interested In The Relationship Between Movie Length Run Time In Minutes And Budget In Millions Of Dol 1 (51.52 KiB) Viewed 36 times
A Researcher Is Interested In The Relationship Between Movie Length Run Time In Minutes And Budget In Millions Of Dol 2 (55.57 KiB) Viewed 36 times
A Researcher Is Interested In The Relationship Between Movie Length Run Time In Minutes And Budget In Millions Of Dol 3 (23.19 KiB) Viewed 36 times
A researcher is interested in the relationship between movie length (run time in minutes) and budget (in millions of dollars) Plots and summaries of their data on 50 movies is below. a. Are there any outliers? Influential points? b. Do we meet the requirements to use a linear model? State all of the requirements, which ones you have evidence that we meet or don't meet) and any other thing you would like to check c. Write out the equation for the line of best fit. d. If a movie runs for 140 minutes what is the predicted budget? e. The movie in part d had a budget of 95 million, what is the residual? Another Plot of Residuals 유 o 160 8 O o -20 0 20 40 O 0 00 O o Budget (Millions) . 8 residuals % 120 o O Poo booo o 8 Oo 0 O o % Ooo ºoo 200 o o 8 0 o 80 o -60 O O BO 100 120 140 160 180 80 100 120 140 160 180 Running Time (Minutes) Histogram of Residuals Boxplot of Residuals
20 40 1 15 Frequency 20 0 20 10 in -60 8 0 0 -80-60-40-200 20 40 60 Running Time (Minutes) Call: 1m(formula = budget ~ time) Residuals: Min 1Q Median Max -73.700 -8.002 0.429 43.227 47.088 30 Coefficients: (Intercept) time Estimate 65.7623 0.4628 Std. Error t value Pr(It) 13.7816 4.772 1.68e-05 *** 0.1062 4.3596.67e-05 *** Signif. codes: (***) 0.001 -**) 0.01 *** 0.05 0.11 Residual standard error: 20.46 on 49 degrees of freedom Multiple R-squared: 0.2795,Adjusted R-squared: 0.2648 F-statistic: 19 on 1 and 49 DF, P-value: 6.673e-05
(Using the data from question 2) a. Write a sentence interpreting the slope in the context of this situation. b. Compute a 95% confidence interval for the slope, c. Write a sentence (or two) explaining this confidence interval to an entertainment news site.
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