Quick wins for a faster PC:
Clear out junk files and repair common Windows errorsFree Scan →Fix the driver behind crashes, sound loss and screen glitchesFind Drivers →Repair Windows errors before they cause bigger problemsFix Now →After fitting a regression in statsmodels, five methods help you look beyond the coefficient table: summary() for an overview, conf_int() for parameter uncertainty, get_robustcov_results() for covariance-adjusted inference, get_influence() for observation sensitivity, and compare_lr_test() for comparing nested models. These provide diagnostic and inferential clues—not proof that a relationship is causal.
Start with the fitted results overview
summary(): What does the model report at a glance?
Once a model is fitted, call summary() on its results object to inspect the main estimates and model information:
As an Amazon Associate I earn from qualifying purchases.
res = model.fit()
print(res.summary())Statsmodels presents the summary as tables and text. Its alpha argument controls the significance level used for confidence intervals, while slim can reduce diagnostic information. The getting-started guide demonstrates the basic workflow of specifying a model, fitting it, and inspecting the fitted results with print(res.summary()) (statsmodels getting started; summary method reference).
Crashes, No Sound, or Screen Glitches?
Random freezes, missing sound and display glitches usually trace back to one bad driver. Find and replace yours safely.Free scan · under a minutePC Slower Than It Used to Be?
A free scan shows the junk files, broken settings and background clutter dragging Windows down - then fixes them in one click.Free scan · Windows 10 & 11Treat this as an orientation, not a complete diagnostic report. A tidy summary cannot establish that the specification is appropriate or explain whether a particular observation or assumption is driving the result.
#1 Best Overall
- Read Before You Buy — No Video Output: These adapters support charging and USB 2.0 data transfer, but cannot transmit video signals. Except for standard USB webcams (which use USB data only), they are not compatible with HDMI/DisplayPort cables, video-capable USB-C hubs, or docking stations with video output.
- Convert USB-A Ports to USB-C: Designed to connect USB-C earphones, cables, flash drives, card readers, and other USB-C accessories to standard USB-A ports. Plug-and-play with no drivers or software required.
- Aluminum Alloy Housing: Built with a sturdy aluminum alloy shell that aids in heat dissipation and protects against daily wear and scratches. Designed to maintain a stable and secure connection.
- Compact & Travel-Friendly: The ultra-compact design allows the adapter to stay plugged into your device without blocking adjacent ports or adding bulk, reducing wear and tear on your original USB ports.
- 12-Month Warranty: Backed by a 12-month manufacturer warranty for peace of mind. Designed to meet strict quality control standards for reliable everyday performance.
Check uncertainty around individual estimates
conf_int(): How precise are the parameter estimates?
Use conf_int() on the fitted results to obtain confidence intervals for the model parameters:
intervals = res.conf_int()
print(intervals)Read each interval alongside its coefficient. It describes uncertainty in the estimate under the fitted model and its assumptions; it does not guarantee that the model is correctly specified or that a coefficient has a causal interpretation. The statsmodels results reference documents the method.
Rank #2
- 5-in-1 USB-C Hub: Experience comprehensive connectivity featuring a Power Delivery input, two USB-A 2.0 ports, a USB-A 3.0 port, and an HDMI port. (Note: The USB-C power delivery input port is only for connecting an external wall charger to power your laptop and cannot power peripheral devices.)
- 90W Pass-Through Charging: Achieve optimal charging with 90W pass-through power to your laptop, supported by a total input of 100W, with the hub reserving 10W for operational efficiency. (Note: Wall charger not included.)
- Quick Data Transfers: Accelerate your productivity with rapid data transfers using a high-speed 5Gbps USB 3.0 port and two 480Mbps USB 2.0 ports.
- 4K HDMI Display: Enhance your visual experience with a hub capable of delivering 4K resolution at 30Hz in both mirror and extend modes. Please note that this hub is compatible with MacBook (macOS 12 and newer), Windows 10 and 11, ChromeOS, and laptops equipped with DP Alt Mode and Power Delivery. Note: This device is not compatible with Linux.
- What You Get: Anker USB-C Hub (5-in-1, 4K HDMI), welcome guide, 18-month warranty, and our friendly customer service.
See whether inference depends on the covariance estimate
get_robustcov_results(): Does the uncertainty estimate change?
This method creates a new results instance with a robust covariance estimate as its default. Specify a covariance type suited to the data feature you are addressing, then inspect the new results:
robust_res = res.get_robustcov_results(cov_type="HC3")
print(robust_res.summary())The example uses HC3, a heteroskedasticity-consistent covariance choice. Choose and report the covariance type deliberately: a robust estimate changes estimated uncertainty and therefore can change standard errors, confidence intervals, and tests. It does not repair omitted variables, an incorrect functional form, or confounding. See the statsmodels covariance-results reference for the method and available options.
Rank #3
- Sleek 7-in-1 USB-C Hub: Features an HDMI port, two USB-A 3.0 ports, and a USB-C data port, each providing 5Gbps transfer speeds. It also includes a USB-C PD input port for charging up to 100W and dual SD and TF card slots, all in a compact design.
- Flawless 4K@60Hz Video with HDMI: Delivers exceptional clarity and smoothness with its 4K@60Hz HDMI port, making it ideal for high-definition presentations and entertainment. (Note: Only the HDMI port supports video projection; the USB-C port is for data transfer only.)
- Double Up on Efficiency: The two USB-A 3.0 ports and a USB-C port support a fast 5Gbps data rate, significantly boosting your transfer speeds and improving productivity.
- Fast and Reliable 85W Charging: Offers high-capacity, speedy charging for laptops up to 85W, so you spend less time tethered to an outlet and more time being productive.
- What You Get: Anker USB-C Hub (7-in-1), welcome guide, 18-month warranty, and our friendly customer service.
Investigate observations that may drive the fit
get_influence(): Could particular cases materially affect the model?
For an OLS results object, get_influence() returns an OLSInfluence object with measures used to examine outlier behavior and observation influence:
influence = res.get_influence()
studentized = influence.resid_studentized_external
leverage = influence.hat_matrix_diag
cooks_distance = influence.cooks_distanceStudentized residuals, leverage, and Cook’s-distance-based plots can help reveal cases worth reviewing. A large residual, high leverage, or an influential-looking point is a cue to investigate the observation, model assumptions, and sensitivity of the result—not an automatic deletion rule. Check for data errors, understand why the case differs, and consider whether conclusions change when it is handled appropriately. The OLS influence method reference and official diagnostic plots notebook demonstrate these measures and plots.
Rank #4
- Dual Converters, Infinite Potential：Includes 2× USB C male to USB A female adapters and 2× USB A male to USB C female adapters. Perfect for a wide range of uses—tablets with Bluetooth keyboards, expand USB ports on macbook, and more. Two different converters for all your daily needs
- Next-Level 10Gbps & 3A Charging: No more slow 480Mbps, this usb to usb c adapter has a transfer speed of up to 10Gbps, allowing you to do more transferring in less time. This usb adapter fits both USB A and USB C charger, supporting up to 3A fast charging
- Upgraded Exquisite Craftsmanship: With an aluminum alloy housing and metal connector, the usbc to usb adapter is extremely durable and sturdy. Rigorously tested to withstand more than 10,000 times of plugging and unplugging, ensuring long-lasting performance
- Broad Compatible: The usb c to usb adapter widely supports all USB C/ USB A devices like laptops, tablets, cellphones, car chargers, and phone chargers. Such as compatible with MacBook Pro/Air 2023/2022, Thunderbolt 4/3 Devices,Apple MagSafe Watch 9/8/7/SE/Ultra, iPad Pro 2022/2021, Samsung Galaxy S23/S20/S10, and iPhone 17/16/15 Pro. Plug and play
- Please Note: To reach 10Gbps speed, keep the cable under 3.3 ft. For USB A Male to USB C adapters, try flipping the USB C connector. USB C Male to USB A adapters support bidirectional 10Gbps transfer within 3.3 ft
Compare nested models with a likelihood-ratio test
compare_lr_test(): Does the less-restricted model improve fit enough to reject the restricted one?
Use this method to compare a restricted model with an appropriate less-restricted, nested model. The comparison tests whether the restricted model is correct; it is not a general comparison for unrelated model specifications. For example:
lr_stat, p_value, df_diff = restricted_res.compare_lr_test(unrestricted_res)Report the likelihood-ratio statistic, degrees of freedom, and p-value, and state which models were compared. The p-value addresses the test under its assumptions; it is not an effect-size measure or evidence of causation. Check the statsmodels likelihood-ratio comparison reference for the method’s requirements and return values.
Best Value
- 5-in-1 Connectivity: Equipped with a 4K HDMI port, a 5 Gbps USB-C data port, two 5 Gbps USB-A ports, and a USB C 100W PD-IN port. Note: The USB C 100W PD-IN port supports only charging and does not support data transfer devices such as headphones or speakers.
- Powerful Pass-Through Charging: Supports up to 85W pass-through charging so you can power up your laptop while you use the hub. Note: Pass-through charging requires a charger (not included). Note: To achieve full power for iPad, we recommend using a 45W wall charger.
- Transfer Files in Seconds: Move files to and from your laptop at speeds of up to 5 Gbps via the USB-C and USB-A data ports. Note: The USB C 5Gbps Data port does not support video output.
- HD Display: Connect to the HDMI port to stream or mirror content to an external monitor in resolutions of up to 4K@30Hz. Note: The USB-C ports do not support video output.
- What You Get: Anker 332 USB-C Hub (5-in-1), welcome guide, our worry-free 18-month warranty, and friendly customer service.
Choose the method that matches the question
| Method | Question answered | What it cannot establish |
|---|---|---|
summary() |
What are the main fitted results and model details? | That the specification is sound or that all relevant diagnostics have been checked. |
conf_int() |
How uncertain are the parameter estimates under this fitted model? | That the model assumptions or causal interpretation are valid. |
get_robustcov_results() |
How does inference look with a different covariance estimate? | That specification problems or confounding have been fixed. |
get_influence() |
Could particular observations affect the fit? | That a flagged observation is erroneous or should be removed. |
compare_lr_test() |
Does a less-restricted nested model improve fit enough to reject the restricted model? | Practical importance or causation. |
These methods are complementary rather than competing. Use the one that matches your question, and combine them when you need to examine parameter uncertainty, inference, case sensitivity, and model structure.
Use diagnostics to investigate assumptions, not certify a model
Statsmodels’ regression diagnostics example covers tests for residual normality (Omni and Jarque–Bera), autocorrelation (Durbin–Watson and Breusch–Godfrey), heteroskedasticity (Breusch–Pagan and Goldfeld–Quandt), linearity (Harvey–Collier), and influence. Its notebook also demonstrates residual-versus-fitted, normal-quantile, scale-location, leverage, and variance-inflation-factor (VIF) views. Patterns can suggest nonlinearity, nonnormal residuals, nonconstant variance, leverage, or influential observations, but visual rules of thumb are not universal thresholds. Use a plot or test to investigate a stated assumption, not as a stand-alone verdict that a model is good or bad. The documentation notes that many tests return tuples without annotations; consult the relevant method documentation to interpret each result (regression diagnostics example; diagnostic plots notebook).
The stable statsmodels documentation identifies version 0.15.0. The detailed summary-method reference linked above is labeled 0.14.6, so check the documentation for your installed version if method options differ.
The Tool Desk
Outbyte PC Repair FREEClear out junk files and repair common Windows errorsFree Scan →Outbyte Driver Updater FREEScan for outdated or missing drivers - takes under a minuteDriver Scan →Quick Recap
Product prices and availability are accurate as of the date/time indicated and are subject to change. Any price and availability information displayed on Amazon at the time of purchase will apply.
